Showing posts with label APTITUDE QUESTIONS. Show all posts
Showing posts with label APTITUDE QUESTIONS. Show all posts

Thursday, 10 March 2011

C-Aptitude

Note : All the programs are tested under Turbo 
C/C++ compilers.


1. void main()
 {
int const * p=5;
printf("%d",++(*p));
}

Answer:Compiler error: Cannot modify a constant 
value.


Explanation:
 p is a pointer to a "constant integer". But we tried to change the value
of the "constant integer".

2. main()
{
char s[ ]="man";
int i;
for(i=0;s[ i ];i++)
printf("\n%c%c%c%c",s[ i ],*(s+i),*(i+s),i[s]);
}
Answer:
mmmm
aaaa
nnnn
Explanation:
s[i], *(i+s), *(s+i), i[s] are all different ways of 
expressing the same
 idea. Generally array name is the base address for 
that array. Here s is the base

address. i is the index number/displacement from 
the base address. So, indirecting it
 with * is same as s[i]. i[s] may be surprising.
But in the case of C it is same as s[i].

3. main()
{
float me = 1.1;
double you = 1.1;
if(me==you)
printf("I love U");
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C-Aptitude chaitanya9186.co.cc
else
printf("I hate U");
}
Answer:
I hate U
Explanation:
For floating point numbers (float, double, long 
double) the values

cannot be predicted exactly. Depending on the 
number of bytes, the precession with
 of the value represented varies. Float takes 4 
bytes and long double takes 10 bytes.
So float stores 0.9 with less precision than long 
double.

Rule of Thumb:
 Never compare or at-least be cautious when 
using floating point
numbers with relational operators (== , >, <, <=, 
>=,!= ) .
4. main()
{s
tatic int var = 5;
printf("%d ",var--);
if(var)
main();
}
Answer:
5 4 3 2 1
Explanation:
When static storage class is given, it is initialized once. The change in
 the value of a static variable is retained even 
between the function calls. Main is also
 treated like any other ordinary function, which 
can be called recursively.
5. main()
{
int c[ ]={2.8,3.4,4,6.7,5};
int j,*p=c,*q=c;
for(j=0;j<5;j++) {
printf(" %d ",*c);
++q; }
for(j=0;j<5;j++){
printf(" %d ",*p);
++p; }
}
Answer:
2 2 2 2 2 2 3 4 6 5
Explanation:
Initially pointer c is assigned to both p and q. In 
the first loop, since
only q is incremented and not c , the value 2 will 
be printed 5 times. In second loop p
itself is incremented. So the values 2 3 4 6 5 will be printed.
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6. main()
{
extern int i;
i=20;
printf("%d",i);
}
Answer:
Linker Error : Undefined symbol '_i'
Explanation:
extern storage class in the following declaration,
extern int i;
specifies to the compiler that the memory for i is 
allocated in some other program and
that address will be given to the current program 
at the time of linking. But linker
finds that no other variable of name i is available 
in any other program with memory
space allocated for it. Hence a linker error has 
occurred .
7. main()
{
int i=-1,j=-1,k=0,l=2,m;
m=i++&&j++&&k++||l++;
printf("%d %d %d %d %d",i,j,k,l,m);
}
Answer:
0 0 1 3 1
Explanation :
Logical operations always give a result of 1 or 0 . 
And also the logical
AND (&&) operator has higher priority over the 
logical OR (||) operator. So the
expression ¡¥i++ && j++ && k++¡¦ is executed 
first. The result of this expression is 0
(-1 && -1 && 0 = 0). Now the expression is 0 || 2 
which evaluates to 1 (because OR
operator always gives 1 except for ¡¥0 || 0¡¦ 
combination- for which it gives 0). So the
value of m is 1. The values of other variables are 
also incremented by 1.
8. main()
{
char *p;
printf("%d %d ",sizeof(*p),sizeof(p));
}
Answer:
1 2
Explanation:
The sizeof() operator gives the number of bytes 
taken by its operand. P
is a character pointer, which needs one byte for 
storing its value (a character). Hence
sizeof(*p) gives a value of 1. Since it needs two 
bytes to store the address of the
character pointer sizeof(p) gives 2.
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9. main()
{
int i=3;
switch(i)
{
default:printf("zero");
case 1: printf("one");
break;
case 2:printf("two");
break;
case 3: printf("three");
break;
}
}
Answer :
three
Explanation :
The default case can be placed anywhere inside 
the loop. It is executed
only when all other cases doesn't match.
10. main()
{
printf("%x",-1<<4);
}
Answer:
fff0
Explanation :
-1 is internally represented as all 1's. When left 
shifted four times the
least significant 4 bits are filled with 0's.The %x 
format specifier specifies that the
integer value be printed as a hexadecimal value.
11. main()
{
char string[]="Hello World";
display(string);
}
void display(char *string)
{
printf("%s",string);
}
Answer:Compiler Error : Type mismatch in redeclaration of function display
Explanation :
In third line, when the function display is 
encountered, the compiler
doesn't know anything about the function display. 
It assumes the arguments and
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return types to be integers, (which is the default 
type). When it sees the actual
function display, the arguments and type 
contradicts with what it has assumed
previously. Hence a compile time error occurs.
12. main()
{
int c=- -2;
printf("c=%d",c);
}
Answer:
c=2;
Explanation:
Here unary minus (or negation) operator is used 
twice. Same maths
rules applies, ie. minus * minus= plus.
Note:
However you cannot give like --2. Because -- 
operator can only be
applied to variables as a decrement operator (eg., 
i--). 2 is a constant and not a
variable.
13. #define int char
main()
{
int i=65;
printf("sizeof(i)=%d",sizeof(i));
}
Answer:
sizeof(i)=1
Explanation:
Since the #define replaces the string int by the 
macro char
14. main()
{
int i=10;
i=!i>14;
Printf ("i=%d",i);
}
Answer:
i=0
Explanation:
In the expression !i>14 , NOT (!) operator has 
more precedence than ¡¥
>¡¦ symbol. ! is a unary logical operator. !i (!10) is 0 
(not of true is false). 0>14 is
false (zero).
15. #include<stdio.h>

main()
{
char s[]={'a','b','c','\n','c','\0'};
char *p,*str,*str1;
p=&s[3];
str=p;
str1=s;
printf("%d",++*p + ++*str1-32);
}
Answer:
77
Explanation:
p is pointing to character '\n'. str1 is pointing to 
character 'a' ++*p. "p is
pointing to '\n' and that is incremented by one." 
the ASCII value of '\n' is 10, which is
then incremented to 11. The value of ++*p is 11. 
++*str1, str1 is pointing to 'a' that is
incremented by 1 and it becomes 'b'. ASCII value 
of 'b' is 98.
Now performing (11 + 98 ¡V 32), we get 77("M");
 So we get the output 77 :: "M" (Ascii is 77).
16. #include<stdio.h>
main()
{
int a[2][2][2] = { {10,2,3,4}, {5,6,7,8} };
int *p,*q;
p=&a[2][2][2];
*q=***a;
printf("%d----%d",*p,*q);
}
Answer:SomeGarbageValue---1
Explanation:
p=&a[2][2][2] you declare only two 2D arrays, but 
you are trying to
access the third 2D(which you are not declared) it 
will print garbage values. *q=***a
starting address of a is assigned integer pointer. 
Now q is pointing to starting address
of a. If you print *q, it will print first element of 3D 
array.
17. #include<stdio.h>
main()
{
struct xx
{
int x=3;
char name[]="hello";
};
struct xx *s;
printf("%d",s->x);
printf("%s",s->name);
}
Answer:Compiler Error
Explanation:
You should not initialize variables in declaration

18. #include<stdio.h>
main()
{
struct xx
{
int x;
struct yy
{
char s;
struct xx *p;
};
struct yy *q;
};
}
Answer:Compiler Error
Explanation:
The structure yy is nested within structure xx. 
Hence, the elements are
of yy are to be accessed through the instance of 
structure xx, which needs an instance
of yy to be known. If the instance is created after 
defining the structure the compiler
will not know about the instance relative to xx. 
Hence for nested structure yy you
have to declare member.
19. main()
{
printf("\nab");
printf("\bsi");
printf("\rha");
}
Answer:
hai
Explanation:
\n - newline
\b - backspace
\r - linefeed
20. main()
{
int i=5;

printf("%d%d%d%d%d%d",i++,i--,++i,--i,i);
}
Answer:
45545
Explanation:
The arguments in a function call are pushed into the stack from left to
right. The evaluation is by popping out from the stack. and the evaluation is from
right to left, hence the result.
21. #define square(x) x*x
main()
{
int i;
i = 64/square(4);
printf("%d",i);
}
Answer:
64
Explanation:
the macro call square(4) will substituted by 4*4 so the expression
becomes i = 64/4*4 . Since / and * has equal 
priority the expression will be evaluated
as (64/4)*4 i.e. 16*4 = 64
22. main()
{
char *p="hai friends",*p1;
p1=p;
while(*p!='\0') ++*p++;
printf("%s %s",p,p1);
}
Answer:
ibj!gsjfoet
Explanation:
++*p++ will be parse in the given order
„« *p that is value at the location currently pointed by p will be taken
„« ++*p the retrieved value will be incremented
„« when ; is encountered the location will be incremented that is p++ will be
executed
Hence, in the while loop initial value pointed by p is ¡¥h¡¦, which is changed to ¡¥i¡¦ by
executing ++*p and pointer moves to point, ¡¥a¡¦ which is similarly changed to ¡¥b¡¦ and
so on. Similarly blank space is converted to ¡¥!¡¦. Thus, we obtain value in p becomes
¡§ibj!gsjfoet¡¨ and since p reaches ¡¥\0¡¦ and p1 points to p thus p1doesnot print anything.
23. #include <stdio.h>
#define a 10
main()
{
#define a 50
printf("%d",a);
}
Answer:
50
Explanation:
The preprocessor directives can be redefined anywhere in the program.
So the most recently assigned value will be taken.
24. #define clrscr() 100
main()
{
clrscr();
printf("%d\n",clrscr());
}
Answer:
100
Explanation:
Preprocessor executes as a seperate pass before the execution of the
compiler. So textual replacement of clrscr() to 100 occurs.The input program to
compiler looks like this :
main()
{
100;
printf("%d\n",100);
}
Note:
100; is an executable statement but with no action. So it doesn't give
any problem
25. main()
{
printf("%p",main);
}
Answer:Some address will be printed.
Explanation:
Function names are just addresses (just like array names are
addresses).
main() is also a function. So the address of function main will be printed. %p in printf
specifies that the argument is an address. They are printed as hexadecimal numbers.


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Saturday, 5 March 2011

TCS APTITUDE PAPER WITH SOLUTIONS


1) If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?
Sol) log 0.317=0.3332 and log 0.318=0.3364, then
log 0.319=log0.318+(log0.318-log0.317) = 0.3396

2) A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there ?
Sol) x= 2 kg Packs
y= 1 kg packs
x + y = 150 .......... Eqn 1
2x + y = 264 .......... Eqn 2
Solve the Simultaneous equation; x = 114
so, y = 36
ANS : Number of 2 kg Packs = 114.

3) My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed?
6:00 am b) 6:40am c) 7:40 d) 7:00 e) 8:00
Sol) The destination place is 80 degree west to the starting place. Hence the time difference between these two places is 5 hour 20 min. (=24hr*80/360).
When the flight landed, the time at the starting place is 12 noon (2 AM + 10 hours).
Hence, the time at the destination place is 12 noon - 5:20 hours = 6: 40 AM

4) A plane moves from 9°N40°E to 9°N40°W. If the plane starts at 10 am and takes 8 hours to reach the destination, find the local arrival time ?
Sol) Since it is moving from east to west longitide we need to add both
ie,40+40=80
multiply the ans by 4
=>80*4=320min
convert this min to hours ie, 5hrs 33min
It takes 8hrs totally . So 8-5hr 30 min=2hr 30min
So the ans is 10am+2hr 30 min
=>ans is 12:30 it will reach

5) The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent? Please tell me the answer with explanation. Very urgent.
Sol) see it doesn't matter that wat the time is being taken to fill the bucket.after reaching program it waits there for 10ms and back to the programmer in 20 ms.then total time to get the response is 20ms +10 ms=30ms...it's so simple....

6) A file is transferred from one location to another in 'buckets'. The size of the bucket is 10 kilobytes. Each bucket gets filled at the rate of 0.0001 kilobytes per millisecond. The transmission time from sender to receiver is 10 milliseconds per bucket. After the receipt of the bucket the receiver sends an acknowledgement that reaches sender in 100 milliseconds. Assuming no error during transmission, write a formula to calculate the time taken in seconds to successfully complete the transfer of a file of size N kilobytes.
(n/1000)*(n/10)*10+(n/100)....as i hv calculated...~~!not 100% sure

7) A fisherman's day is rated as good if he catches 9 fishes, fair if 7 fishes and bad if 5 fishes. He catches 53 fishes in a week n had all good, fair n bad days in the week. So how many good, fair n bad days did the fisher man had in the week
Ans:4 good, 1 fair n 2 bad days
Sol) Go to river catch fish
4*9=36
7*1=7
2*5=10
36+7+10=53...
take what is given 53
good days means --- 9 fishes so 53/9=4(remainder=17) if u assume 5 then there is no chance for bad days.
fair days means ----- 7 fishes so remaining 17 --- 17/7=1(remainder=10) if u assume 2 then there is no chance for bad days.
bad days means -------5 fishes so remaining 10---10/5=2days.
Ans: 4 good, 1 fair, 2bad. ==== total 7 days.

x+y+z=7--------- eq1
9*x+7*y+5*z=53 -------eq2
multiply eq 1 by 9,
9*x+9*y+9*z=35 -------------eq3
from eq2 and eq3
2*y+4*z=10-----eq4
since all x,y and z are integer i sud put a integer value of y such that z sud be integer in eq 4 .....and ther will be two value y=1 or 3 then z = 2 or 1 from eq 4

for first y=1,z=2 then from eq1 x= 4
so 9*4+1*7+2*5=53.... satisfied
now for second y=3 z=1 then from eq1 x=3
so 9*3+3*7+1*5=53 ......satisfied
so finally there are two solution of this question
(x,y,z)=(4,1,2) and (3,3,1)...

8) Y catches 5 times more fishes than X. If total number of fishes caught by X and Y is 42, then number of fishes caught by X?
Sol) Let no. of fish x catches=p
no. caught by y =r
r=5p.
r+p=42
then p=7,r=35

9) Three companies are working independently and receiving the savings 20%, 30%, 40%. If the companies work combinely, what will be their net savings?
suppose total income is 100 http://www.ChetanaS.org
so amount x is getting is 80
y is 70
z =60
total=210

but total money is 300
300-210=90
so they are getting 90 rs less
90 is 30% of 300 so they r getting 30% discount

10) The ratio of incomes of C and D is 3:4.the ratio of their expenditures is 4:5. Find the ratio of their savings if the savings of C is one fourths of his income?
Sol) incomes:3:4
expenditures:4:5
3x-4y=1/4(3x)
12x-16y=3x
9x=16y
y=9x/16
(3x-4(9x/16))/((4x-5(9x/16)))
ans:12/19

11) If G(0) = -1 G(1)= 1 and G(N)=G(N-1) - G(N-2) then what is the value of G(6)?
ans: -1
bcoz g(2)=g(1)-g(0)=1+1=2
g(3)=1
g(4)=-1
g(5)=-2
g(6)=-1

12) If A can copy 50 pages in 10 hours and A and B together can copy 70 pages in 10 hours, how much time does B takes to copy 26 pages?
Sol) A can copy 50 pages in 10 hrs.
A can copy 5 pages in 1hr.(50/10)
now A & B can copy 70 pages in 10hrs.
thus, B can copy 90 pages in 10 hrs.[eqn. is (50+x)/2=70, where x--> no. of pages B can copy in 10 hrs.]
so, B can copy 9 pages in 1hr.
therefore, to copy 26 pages B will need almost 3hrs.
since in 3hrs B can copy 27 pages.

13) what's the answer for that :
A, B and C are 8 bit no's. They are as follows:
A -> 1 1 0 0 0 1 0 1
B -> 0 0 1 1 0 0 1 1
C -> 0 0 1 1 1 0 1 0 ( - =minus, u=union)
Find ((A - C) u B) =?

To find A-C, We will find 2's compliment of C and them add it with A,
That will give us (A-C)
2's compliment of C=1's compliment of C+1
=11000101+1=11000110
A-C=11000101+11000110
=10001001
Now (A-C) U B is .OR. logic operation on (A-C) and B
10001001 .OR . 00110011
The answer is = 10111011,
Whose decimal equivalent is 187.

14) One circular array is given(means memory allocation tales place in circular fashion) diamension(9X7) and sarting add. is 3000, What is the address of (2,3)........
Sol) it's a 9x7 int array so it reqiure a 126 bytes for storing.b'ze integer value need 2 byes of memory allocation. and starting add is 3000
so starting add of 2x3 will be 3012.

15) In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5).
Sol) initial x (1,1) = 3000 u hav to find from x(8,1)so u have x(1,1),x(1,2) ... x(7,7) = so u have totally 7 * 7 = 49 elementsu need to find for x(8,5) ? here we have 5 elements each element have 4 bytes : (49 + 5 -1) * 4 = 212 -----( -1 is to deduct the 1 element ) 3000 + 212 = 3212

16) Which of the following is power of 3 a) 2345 b) 9875 c) 6504 d) 9833

17) The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied ?
Sol) M=sqrt(100N)
N is increased by 1%
therefore new value of N=N + (N/100)
=101N/100
M=sqrt(100 * (101N/100) )
Hence, we get M=sqrt(101 * N)

18)
1)SCOOTER --------- AUTOMOBILE--- A. PART OF
2.OXYGEN----------- WATER ------- B. A Type of
3.SHOP STAFF------- FITTERS------ C. NOT A TYPE OF
4. BUG -------------REPTILE------ D. A SUPERSET OF
1)B 2)A 3)D 4)C

19) A bus started from bustand at 8.00a m and after 30 min staying at destination, it returned back to the bustand. the destination is 27 miles from the bustand. the speed of the bus 50 percent fast speed. at what time it returns to the bustand
this is the step by step solution:
a bus cover 27 mile with 18 mph in =27/18= 1 hour 30 min. and it wait at stand =30 min.
after this speed of return increase by 50% so 50%of 18 mph=9mph
Total speed of returnig=18+9=27
Then in return it take 27/27=1 hour
then total time in joureny=1+1:30+00:30 =3 hour
so it will come at 8+3 hour=11 a.m.
So Ans==11 a.m

20) In two dimensional array X(7,9) each element occupies 2 bytes of memory.If the address of first element X(1,1)is 1258 then what will be the address of the element X(5,8) ?
Sol) Here, the address of first element x[1][1] is 1258 and also 2 byte of memory is given. now, we have to solve the address of element x[5][8], therefore, 1258+ 5*8*2 = 1258+80 = 1338 so the answer is 1338.

21) The temperature at Mumbai is given by the function: -t2/6+4t+12 where t is the elapsed time since midnight. What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM?

22) Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day. Sum of the low temperature and highest temp. is 100 degrees. Then what is the low temp?
Sol) Let highest temp be x
so low temp=1/3 of x of 1/2 of x plus x/2 i.e. x/6+x/2
total temp=x+x/6+x/2=100
therefore, x=60
Lowest temp is 40

23) In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm. Ans. At 9pm 7.5 more
Sol) In equestion first put t=9,
we will get 34.5...........................(1)
now put t=4,
we will get 27..............................(2)
so ans=34.5-27
=7.5

24) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?
a) 780 b) 1040 c) 1590 d) 1720
Sol) x*53-x*35=540=> x=30 therefore, 53*30=1590 Ans

25) How many positive integer solutions does the equation 2x+3y = 100 have?
a) 50 b) 33 c) 16 d) 35
Sol) There is a simple way to answer this kind of Q's given 2x+3y=100, take l.c.m of 'x' coeff and 'y' coeff i.e. l.c.m of 2,3 ==6then divide 100 with 6 , which turns out 16 hence answer is 16short cut formula--- constant / (l.cm of x coeff and y coeff)

26) The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.
a) 65 b) 55 c) 50 d) 45
Sol)
Let a = fixed cost and k = variable cost and n = number of boarders
total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k
total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k
solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50
therefore, substituting this value of k in either of above 2 eqns we get
a = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500)
so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500
so cost per head = 5500/100 = 55

27) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?
a) 37.5% b) 62.5% c) 50% d) None of these
Sol)
Let, 5 pens + 7 pencils + 4 erasers = x rupees
so 10 pens + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees = 5/8 of total (note x rupees is total amt paid byamal)
i.e 5/8 = 500/8% = 62.5% is the answer

28) I lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than me in the second race. What is the amount lost by my friend in the second race?
Sol)
x + x+6 = rs 68
2x + 6 = 68
2x = 68-6
2x = 62
x=31
x is the amt lost in I race
x+ 6 = 31+6=37 is lost in second race
then my friend lost 37 + 4 = 41 Rs

29) Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms. i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball? ii) Same question with n=10 iii) Same question with n=9
to me the chances are
when n=3
(i) nC1= 3C1 =3 for 10 boxes .. 10*3=30
(ii) 10C1=10 for 10 boxes ....10*10=100
(iii)9C1=9 for 10 boxes .....10*9=90

30) (1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?
leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one another. Ans. 5/(n+5)

31) A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and third part. What is the total of hours in the bigger part?
Sol) the clock normally has 12 hr
three parts x,y,z
x+y+z=12
x=y+z
2x=12
x=6
so the largest part is 6 hrs

32) With 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels
Sol) 4/5 full tank= 12 mile
1 full tank= 12/(4/5)
1/3 full tank= 12/(4/5)*(1/3)= 5 miles

33) wind blows 160 miles in 330min.for 80 miles how much time required
Sol) 160 miles= 330 min
1 mile = 330/160
80 miles=(330*80)/160=165 min.

34) A person was fined for exceeding the speed limit by 10mph.another person was also fined for exceeding the same speed limit by twice the same if the second person was travelling at a speed of 35 mph. find the speed limit
Sol)
(x+10)=(x+35)/2
solving the eqn we get x=15

35) A sales person multiplied a number and get the answer is 3 instead of that number divided by 3. what is the answer he actually has to get.
Sol) Assume 1
1* 3 = 3
1*1/3=1/3
so he has to got 1/3
this is the exact answer

36) A person who decided to go weekend trip should not exceed 8 hours driving in a day average speed of forward journey is 40 mph due to traffic in Sundays the return journey average speed is 30 mph. How far he can select a picnic spot.

37) Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. Sum of the low temp and high temp is 100 c. then what is the low temp.
ans is 40 c.
Sol) let x be the highest temp. then,
x+x/2+x/6=100.
therefore, x=60 which is the highest temp
and 100-x=40 which is the lowest temp.

38) car is filled with four and half gallons of oil for full round trip. Fuel is taken 1/4 gallons more in going than coming. What is the fuel consumed in coming up.
Sol) let feul consumed in coming up is x. thus equation is: x+1.25x=4.5ans:2gallons

39) A work is done by the people in 24 min. One of them can do this work alone in 40 min. How much time required to do the same work for the second person
Sol) Two people work together in 24 mins.
So, their one day work is
(1/A)+(1+B)=(1/24)
One man can complete the work in 40mins
one man's one day work (1/B)= (1/40)
Now,
(1/A)=(1/24)-(1/40)
(1/A)=(1/60)
So, A can complete the work in 60 mins.

40) In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. What is the probability? That a randomly chosen employee is a male or female?
Sol) 40% employees are male if 60% of supervisors are male so for 100% is 26.4%so the probability is 0.264

41) In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin
Sol) the minimum number of wieghtings needed is just 5.as shown below
(1) 80->30-30
(2) 15-15
(3) 7-7
(4) 3-3
(5) 1-1

42) 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples?
2x+3y+4z=15
3x+2y+z=10 adding
5x+5y+5z=25
x+y+z=5 that is for 1 orange, 1 bannana and 1 apple requires 5Rs.
so for 3 orange, 3 bannana and 3 apple requires 15Rs.
i.e. 3x+3y+3z=15

43) In 8*8 chess board what is the total number of squares refers
Sol) odele discovered that there are 204 squares on the board We found that you would add the different squares - 1 + 4 + 9 + 16+ 25 + 36 + 49 + 64.
Also in 3*3 tic tac toe board what is the total no of squares
Ans 14 ie 9+4(bigger ones)+1 (biggest one)
If you ger 100*100 board just use the formula
the formula for the sum of the first n perfect squares is
n x (n + 1) x (2n + 1)
______________________
6
if in this formula if you put n=8 you get your answer 204

44) One fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. If both do combinely in how much time they will finish.
Sol) Faster one can do 1/2 of work in one hourslower one can do 1/3 of work in one hourboth they do (1/2+1/3=5/6) th work in one hour.so work will b finished in 6/5=1.2 hour i e 1 hour 12 min.

45) If Rs20/- is available to pay for typing a research report & typist A produces 42 pages and typist B produces 28 pages. How much should typist A receive?
Here is the answer Find of 42 % of 20 rs with respect to 70 (i.e 28 + 42) ==> (42 * 20 )/70 ==> 12 Rs

46) An officer kept files on his table at various times in the order 1,2,3,4,5,6. Typist can take file from top whenever she has time and type it.What order she cann_t type.?

47) In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?
the answer is 138 matches
Sol) since one player gets a bye in each round,he will reach the finals of the tournament without playing a match. http://www.ChetanaS.org
therefore 137 matches should be played to detemine the second finalist from the remaining 138 players(excluding the 1st player)
therefore to determine the winner 138 matches shd be played.

48) One rectangular plate with length 8inches, breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?
Sol) Vol. of rect. plate= 8*11*2=176
area of rod=(22/7)*(8/2)*(8/2)=(352/7)
vol. of rod=area*length=vol. of plate
so length of rod= vol of plate/area=176/(352/7)=3.5

49) One tank will fill in 6 minutes at the rate of 3cu ft /min, length of tank is 4 ft and the width is 1/2 of length, what is the depth of the tank?
3 ft 7.5 inches

50) A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is sent by a horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns back, by doing so, he saves twenty minutes. How early did the plane arrive?
ans:10min:::assume he started at 1:00,so at 1:30 he met cart. He returned home at 2:00.so it took him 1 hour for the total jorney.by doing this he saved 20 min.so the actual time if the plane is not late is 1 hour and 20 min.so the actual time of plane is at 1:40.The cart travelled a time of 10 min before it met him.so the plane is 10 min early.

51) Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?

52) 2 trees are there. One grows at 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years.
Sol) THE BIG TREE GROWS 8FT IN 4 YEARS=>THE BIG TREE GROWS 4FT IN 2 YEARS.WHEN WE DIVIDE 4FT/5=.8*3=>2.4
ans: 1.5 mt 4 (x+(3/5)x)=88x/5=2x=5/4 after 2 years x=(3/5)*(5/4)*2 =1.5

53) There is a six digit code. Its first two digits, multiplied by 3 gives all ones. And the next two digits multiplied by 6 give all twos. Remaining two digits multiplied by 9 gives all threes. Then what is the code?
sol) Assume the digit xx xx xx (six digits)
First Two digit xx * 3=111
xx=111/3=37
( first two digits of 1 is not divisible by 3 so we can use 111)
Second Two digit xx*6=222
xx=222/6=37
( first two digits of 2 is not divisible by 6 so we can use 222)
Thrid Two digit xx*9=333
xx=333/9=37
( first two digits of 3 is not divisible by 9 so we can use 333)

54) There are 4 balls and 4 boxes of colours yellow, pink, red and green. Red ball is in a box whose colour is same as that of the ball in a yellow box. Red box has green ball. In which box you find the yellow ball?
ans is green...
Sol) Yellow box can have either of pink/yellow balls.
if we put a yellow ball in "yellow" box then it wud imply that "yellow" is also the colour of the box which has the red ball(becoz acordin 2 d question,d box of the red ball n the ball in the yellow box have same colour)
thus this possibility is ruled out...
therefore the ball in yellow box must be pink,hence the colour of box containin red ball is also pink....
=>the box colour left out is "green",,,which is alloted to the only box left,,,the one which has yellow ball..

55) A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls, and 1 red ball. How many minimum balls one should pick out so that to make sure the he gets at least 2 balls of same color.
Ans:he should pick 6 ball totally.
Sol) Suppose he picks 5 balls of all different colours then when he picks up the sixth one, it must match any on of the previously drawn ball colour.
thus he must pick 6 balls

56) What is the number of zeros at the end of the product of the numbers from 1 to 100
Sol) For every 5 in unit palce one zero is added Ch eta naS
so between 1 to 100 there are 10 nos like 5,15,25,..,95 which has 5 in unit place.
Similarly for every no divisible by 10 one zero is added in the answer so between 1 to 100 11 zeros are added
for 25,50,75 3 extra zeros are added
so total no of zeros are 10+11+3=24

57) 10 Digit number has its first digit equals to the numbers of 1's, second digit equals to the numbers of 2's, 3rd digit equals to the numbers of 3's .4th equals number of 4's..till 9th digit equals to the numbers of 9's and 10th digit equals to the number of 0's. what is the number?.(6marks)
ans:2100010006
2---shows that two 1's in the ans
1---shows that one 2 in ans
0---shows no 3 in the ans
0---shows no 4 in the ans
0---shows no 5 in the ans
1---shows one 6 in the ans
0---shows no 7 in the ans
0---shows no 8 in the ans
0---shows no 9 in the ans
6---shows six 0's in the ans

58) There are two numbers in the ratio 8:9. if the smaller of the two numbers is increased by 12 and the larger number is reduced by 19 thee the ratio of the two numbers is 5:9. Find the larger number?
sol) 8x:9x initialy
8x+ 12 : 9x - 19 = 5x:9x
8x+12 = 5x
-> x = 4
9x = 36 not sure about the answer ..

59) There are three different boxes A, B and C. Difference between weights of A and B is 3 kgs. And between B and C is 5 kgs. Then what is the maximum sum of the differences of all possible combinations when two boxes are taken each time
A-B = 3
B-c = 5
a-c = 8
so sum of diff = 8+3+5 = 16 kgs

60) A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall short of the qualifying mark, what is the qualifying mark?
ans is 11
coz each had atleast 1 shot done so 10 + 1 = 11
n 9 + 2 = 11
so d ans is 11

61) A, B, C, and D tells the following times by looking at their watches. A tells it is 3 to 12. B tells it is 3 past 12. C tells it is 12:2. D tells it is half a dozen too soon to 12. No two watches show the same time. The difference between the watches is 2,3,4,5 respectively. Whose watch shows maximum time?
sol) A shows 11:57, B shows 12:03, C shows 12:02, and D shows 11:06 therefore, max time is for B

62) Falling height is proportional to square of the time. One object falls 64cm in 2sec than in 6sec from how much height the object will fall.
Sol) The falling height is proportional to the squere of the time.
Now, the falling height is 64cm at 2sec
so, the proportional constant is=64/(2*2)=16;
so, at 6sec the object fall maximum (16*6*6)cm=576cm;
Now, the object may be situated at any where.
if it is>576 only that time the object falling 576cm within 6sec .Otherwise if it is situated<576 then it fall only that height at 6sec.

63) Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51 how many runs he made in the 51st innings
Ans) first 50 ings.- run= 50*50=2500
51st ings.- avg 51. so total run =51*51=2601.
so run scored in that ings=2601-2500=101 runs.

64) Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?
a) 3rd b) 6th c) 9th d) 7th
Ans is d) 7th day
Sol) In d 1st day Anand does 1/7th of total work
similarly,
Bithu does 1/8th work in d 2nd day
hence at d end of 3 days, work done = 1/7+1/8+1/6=73/168
remaining work = (168-73)/168 = 95/168
again after 6 days of work, remaining work is = (95-73)/168 = 22/168
and hence Anand completes the work on 7th day.(hope u understood.)

65) A man, a women and a child can do a piece of work in 6 days,man can do it in 14 days, women can do it 16 days, and in how many days child can do the same work?
The child does it in 24 days

66)
A: 1 1 0 1 1 0 1 1
B: 0 1 1 1 1 0 1 0
C: 0 1 1 0 1 1 0 1
Find ( (A-B) u C )==?
Hint : 109
A-B is {A} - {A n B}
A: 1 1 0 1 1 0 1 1
B: 0 1 1 1 1 0 1 0
by binary sub. a-b = 01100001 (1-0=1, 1-1=0,0-0=0, n for the 1st 3 digits 110-011=011)
now (a-b)uc= 01100001
or 01101101
gives 1101101... convert to decimal equals 109




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Sunday, 27 February 2011

CTS QUESTION

CTS 2004
* THERE WERE A TOTAL OF 40 QUESTIONS TO BE ANSWERED IN 60 MINUTES.EACH QUESTION CARRIED 1 MARK & 0.25 MARKS WERE DEDUCTED FOR EVERY WRONG ANSWER.(NEGATIVE MARKING)THERE WERE 5 SECTIONS IN ALL, EACH HAVING 8
QUESTIONS.


* 5 sections
* 8 questions each (40 q totally)
* 60 minutes
* 5 different sets of question papers
* 1 Mark each
* 0.25 negative marking


CTS_BLACK
vocabulary,strings,dominoes,functions,coding
(each section 8 ques)

CTS_BROWN
word series,numerical series,functions,figures,verbal
(each section 8 ques)

CTS_VIOLET
functions,strings,bricks,jigsaw puzzle,cryptic clues
(each section 8 ques)

CTS_RED
1. 8 functions
2. 4 cryptic clues ,4 anagrams
3. 4 tetris figures, 4 bricks
4. 8 strings
5. 4 jigsaw puzzles 4 number series

Instructions
1. All answers provided in these sets may not be correct. So Please check.
2. do read old papers. few ques of 2004 came from these old sets


INTERVIEW

* puzzles
* technical


BROWN 2004

There were different papers for different sessions.
The paper had 5 sections, 5 * 8 = 40 Q's. totally.


Section 1 : Functions.

Q: 1 - 8

Certain functions were given & based upon the
rules & the choices had to be made based on recursion.
This is time consuming, but u can do it.
Try to do it at the end. start from the last section.

L(x) is a function defined. functions can be defined as
L(x)=(a,b,ab) or (a,b,(a,b),(a,(b,b)),a,(b,b))....
two functions were given A(x) & B(x) like
if l(x)=(a,b,c) then A(x)=(a) & B(x)=(b,c)
i.e., A(x) contains the first element of the function only.
& B(x) contains the remaining, except the first element.
then the other two functions were defined as
C(x) = * if L(x) = ()
A(x) if L(x) = () & B(x) != ()
C(B(x)) otherwise
D(x) = * if L(x) = ()
** if B(x) = ()
A(x) if L(x) != () & B(x) != ()
D(D(x)) otherwise

now the Questions are,

1 : if L(x) = (a,b,(a,b)) then C(x) is ?
(a): a (b): b (c): c (d): none
2 : if L(x) = (a,b,(a,b)) then find D(x)
same options as above
3 : if L(x) = (a,b,(a,b),(b,(b))) find C(x)
4 : -----------~~~~~~~~---------- find D(x)
5 : if L(x) = (a,(a,b),(a,b,(a,(b))),b) then find c(x)
6 : -----------~~~~~~~~---------- find D(x)
7 : if L(x) = (a,b,(a,b)) then find C(D(x))
8 : -----------~~~~~~~~---------- find D(C(x))


Section 2 : Word series

Q's : 9 - 16

This is one of the easiest section. Try to do it at first.
if S is a string then p,q,r form the substrings of S.
for eg, if S=aaababc & p=aa q=ab r=bc
then on applying p->q on S is that ababaabc
only the first occurance of S has to be substituted.
if there is no substring of p,q,r on s then it should not be
substituted.

If S=aabbcc, R=ab, Q=bc. Now we define an operator R&#61672; Q when
operated on S, R is replaced by Q, provided Q is a subset of S,
otherwise R will be unchanged. Given a set S= ………., when R&#61672; Q, P&#61=
672; R, Q
&#61672; P operated successively on S, what will be new S? There will be 4 =

: if s=aaababc & p= aa q=ab r=bc then applying p->q, q->r & r->p will
give,
(a): aaababc (b): abaabbc (c): abcbaac (d): none of the
a,b,c
10: if s=aaababc & p= aa q=ab r=bc then applying q->r & r->p will
give,
11: if s=abababc & p= aa q=ab r=bc then applying p->q, q->r & r->p will
give,
12: if s=abababc & p= aa q=ab r=bc then applying q->r & r->p will
give,
13: if s=aabc & p=aa q=ab r=ac then applying p->q(2) q->r(2) r->p
will
give,
(2) means applying the same thing twice.
14: similiar type of prob.
15: if s=abbabc p=ab q=bb r=bc then to get s=abbabc which one should be
applied.
(a): p->q,q->r,r->p
16: if s=abbabc p=ab q=bb r=bc then to get s=bbbcbabc which one should
be
applied.
Let us consider a set of strings such as S=aabcab. We
now consider two
more sets P and Q which also contain strings. An operation
P->Q is defined in
such a manner that if P is a subset of S, then P is to be
replaced by Q. In
the following questions, you are given various sets of
strings on which you
have to perform certain operations as defined above. Choose
the correct
alternative as your answer.

(the below are some ques from old ques papers)

21. Let S=abcabc, P=bc, Q=bb and R=ba. Then P->Q, Q->R, R-
>P changes S to
(A) ............ (B) abcabc (C) ............
(D) none of A,B,C
22. Let S=aabbcc, P=ab, Q=bc and R=cc. Then P->Q, Q->R, R-
>P changes S to
(A) ababab (B) ............ (C) ............
(D) none of A,B,C
23. Let S=bcacbc, P=ac, Q=ca and R=ba. Then P->Q, Q->R, P-
>R changes S to
(A) ............ (B) ............ (C) bcbabc
(D) none of A,B,C
24. Let S=caabcb, P=aa, Q=ca and R=bcb. Then P->Q, P->R, R-
>Q changes S to
(A) ............ (B) ............ (C) ............
(D) none of A,B,C




Section 3 : numerical series

Q's : 17 - 24

This is little bit tough. proper guesses should be made.
find these probs in r.s.aggarval's verbal & non verbal reasoning.

17: 2,20,80,100, ??
(a): 121, (b): 116 (c): (d):none
18: 10,16,2146,2218, ??

like these other series were given.

section 3 : series (from other booklet)
transformations

17: 1 1 0 2 2 1 1 ---> 0 0 1 0 0 2 2
1 0 1 1 0 0 1 ---> 2 1 2 2 1 1 2
then
2 2 1 1 0 1 1 ---> ????
ans may be 0 0 2 2 1 2 2

18: 1 1 0 0 2 2 ---> 2 2 0 0 1 1
1 0 1 1 2 1 ---> 1 2 1 1 0 1



Section 4 : figures

19:
^ ^ ^
| -> <- | -> |
^ : ^ :: ^ : ?
| -> <- | <- |

ans is :

^
| <-
^
| ->

all probems are very easy.(see cts_old\cts13 file)
some are mirror images, some r rotated clockwise/anti


Section 5 : Verbal
if u have a very good vocab. then this section is managable.
two words together forming a compound words were given.
the q's contained the second part of the compound word.
the first word of the compuond word had to be guessed.
then its meaning had to be matched with the choices.

if the word is "body"
then its meaning of its first part is..
its really tough to guess..
the words were however very simple
some words which i can remember are, head, god,
(see old papers)
like
block head
main stream
star dust
Eg: OLD PAPERS
(1) -(head)- (a) purpose (b) man (c)obstacle
(d)(ans:c for blockhead)
>(2) (dust)- (a) container(b)celestial body
(c)groom(d)(ans: c for star dust)
>(3) (stream )-(a) mountain (b) straight (c) (d)
(ans:a)
>(4) (crash)- (a) course (b) stock3 anagram
>first find the anagram of the given word & then
>choose the meaning of the anagram from the options.
>1. latter ->rattle 2..spread 3.risque
4.dangled(ansjogged)…





Quest of red set.

i)
Series Transformation
1) If 102101->210212 then 112112->?
a)
b)
c)
d)

2) if 102101-> 200111 then 112112->?
Again there r 4 choices.

3) If 102101->101201 then 112112->?
Again there r 4 choices.

Tips:The 1st one all change 0->1, 1->2, 2->1
The 2nd on alternate do not change
The 3rd it is just reverse of the original string
_______________________________________________________
ii)

Target=127: Brick=24,17,13: Operation available= +,/,*,-
Again there r 4 choices.For ex choice b)20,6,7


Tips:Answer is b one bcos 20*6+7=127.Hence it is the answer
Q:1)U HAVE TO MAKE A TARGET =102; THE ANSWER FROM THE OPTION IS (6,17,2,1)
2)TARGET=41;FIVE NO.S WERE GIVEN;25 22 16 5 1 U CAN USE THE NO.S ONLY ONCE&CAN PERFORM OPERATION +,MULTIPLY,-,/,()ONCE;
OPTIONS WERE;
A)25 22 16 5 B)25 22 16 1 C)25 22 5 1 D)25 16 5 1)
4 SUCH QUESTINS ARE THERE.

2)87
3)146
4)127
THERE ARE SOME FIGURATIVE QUESTION;SEE FROM COMPETITION MASTER,I CANT REMEBER THE FIGURE.4 QUESTIONS ARE THERE
__________________________________________________
iii)

Cryptic Sentence. Form word
A sentence is there .a cryptical clue is hidden in the sentence. Find out answer from the opticn.
1)a friend in rome
a)aerodrome b)palindine c)palindrome d)condome
ans:palindrome

2)Rowed them across
a)crosswiz b)acropolis c)acroword d)crossword
Ans:crossword/crossover

3)cuticle cutting the filly glass
a)cubicle b)uphilly c)cutglass d)cutlass
Ans:cutlass

4)hat jumps upward in a water closet
a)watch b)witch
ans:watch/whatever


Tips:The 1st oneJumble out the word SHORE to get the word HORSE and then get the adjective
of the word HORSE as TROJAN
The 2nd one lips->slip->freudian/french

_______________________________________________________________
iv)

Anagram noun form the correesponding adjectives

There re options.
Q:some nouns are jumbled on ,you have to rearrange, look for a suitable adjective:
Make a phrase then.
1)shore
a)aegean b)Indian c)trojan d)Spartan
ans:trojan

2)sire
a)dutch b)rome c)herculean d)mercurial
ans:mercurial

3)ourcage
a)english b)rome c)dutch d)Spartan
ans:Spartan

4)lips
Again there r 4 choices.
Ans:freudian/french


_______________________________________________________________
v)

Jigsaw puzzle as given in the book by Edgar Thorpe, of TMH Publications

_____________________________________________________________________

vi)

FUNCTIONS same as CTS_BLACK\fun

____________________________________________________________________

vii)

x , y -> strings of G st there is at least one G in x and y

xoxy valid
xoy->xoxy invalid
Find valid & invalid strings

____________________________________________________________________
viii)there were a couple of ( seven to be
precise)figures ( tetris type if u remember that game)
given in the main theme. The 10 questions that
followed showed patterns which were formed due to
combination of the 7basic figs. NOTE: the intersecting
part of the combined fig. always gets subtracted from
the total combination

Hello Shivesh
CTS paper was of diff pattern this time and there were
ateast 5 different sets of question papers given to
students. Of the type i recvd, as i told there wer
10x4 questions for 60 mins.
section:

4) last section( thats bcoz i remeber it well)
had meaningful words whose anagrams are nouns and
we hav to choose the best adjective from the list to
describe this noun:
ex: shore ( word given)
choices: a) roman b) spanish c) trojan d)....

ans: c) trojan
shore is anagram(jumbled form of) 'horse' and
trojan-horse is the best match

3) there were a couple of ( seven to be
precise)figures ( tetris type if u remember that game)
given in the main theme. The 10 questions that
followed showed patterns which were formed due to
combination of the 7basic figs. NOTE: the intersecting
part of the combined fig. always gets subtracted from
the total combination

2) This section had the funda of xOy where x and y
represented strings of Gs . The test was to find the
valid or invalid patterns with ref. to the rules

1) L=list of objects
ex:L={a,b,c,d} where a,b,c,d are objects
P(L) was a function( dont remembr xatly)
M(L) was another function defined etc
in the following questions P(x) etc were given to be
found out.
Note : this may take considerable amnt of time. so
take intelligent guesses

CTS 2004 (PSG and CIT) Yellow color
1. A starts from a place at 11.00 A.M. and travels at a speed of 4 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on. At what time will B catch up with A?
a) 9.24 b) 9.32 c) 9.48 d) none

2. The average temperature of Monday to Wednesday was 37C and of Tuesday to Thursday was 34C. If the temperature on Thursday was 4/5 th of that of Monday, the temperature on Thursday was
A) 36.5C b) 36C c) 35.5C d) 34C

3. Swetha and Chaitanya went to a bookshop. Swetha purchased 5 pens, 3 note books and 9 pencils and used up all her money. Chaitanya purchased 6 pens, 6 note books and 18 pencils and paid 50% more than what Swetha paid. What % of Swethas money was spent on pens?
a) 12.5 b} 62.5 c) 75 d) cant be determined.

Directions for Questions 4,5,6. Alex, Bond, Calvin and Dorna collected coins of different countries.
a. They collected 100 altogether b. None collected less than 10
c. Each collected an even no. d. Each collected a different no.

4. Based on the above, we can say that the no. of coins collected by the boy who collected the most could not have exceeded
a) 54 b) 64 c) 58 d) 60

5. If Alex collected 54 coins, we can say (on the basis of information obtained so far) that difference in nos. collected by the boy who collected the most and the boy who collected the 2nd most should be at least
a) 30 b) 34 c) 26 d) 12

6. Alex collected 54 coins. If Calvin collected 2 more than double the no. collected by Dorna, the no. collected by Calvin was
a) 10% b) 30% c) 22% d) 26 %

7. How many nos. are there between 100 and 200 both inclusive and divisible by 2 or 3?
a) 67 b) 68 c) 84 d) 100

8. Find the greatest no. that will divide 964,1238 and 1400 leaving remainder of 41,31 and 51 resp.
a) 58 b) 64 c) 69 d) 71

9. If all 6’s get inverted and become 9’s , by how much will the sum of all nos. between 1 and 100 both inclusive change?
a) 300 b) 330 c) 333 d) none of these

10. If all the picture cards are removed from a pack of cards, the sum of the values of the remaining is
a) 55 b) 220 c) 54 d) 216
11. What is the min. no. of weighing operations required to measure 31 kg of rice if only one stone of 1 kg is available?
a) 31 b) 6 c) 5 d) 16

12. The ratio of the no. of white balls in a bag to that of black balls is 1:2. If 9 grey balls are added the ratio of nos. of white, black and grey become 2:4:3. How many black balls were in the bag?
a) 6 b) 9 c) 12 d) 8

13. There are 2 toy cars facing each other at a distance of 500 cm from each other. Each car moves forward by 100 cm at a speed of 50 cm/s and then moves backward by 50 cm at a speed of 25 cm/s. How long will it take for the cars to collide?
a) 12s b) 14s c) 16s d) 13s

14. It takes 8, 12 and 16 days for A,B and C resp. to complete a task. How many days will it take if A works on the job for 2 days then B works on it until 25% of the job is left for C to do, and C completes the work?
a) 10 days b) 14 days c) 13 days d) 12 days

15. A and B run in opposite directions from a pt. P on a circle with different but constant speeds. A runs in clockwise direction. They meet for the first time at a distance of 900 m in clockwise direction from P and for the second time at a distance of 800 m in anticlockwise direction from P. If B is yet to complete one round, the circumference of the circle is
a) 1700m b) 1250m c) 1300m d) 1200m

16. Bird A starts flying from P to Q at 9.00 A.M. and bird B starts flying from Q to P at 10.00 A.M. B is 50% faster than A. What is the time at which they meet if P and Q are 300kms apart and A’s speed is 50kmph.
a) 12 noon b) 12.30pm c) 11.30am d) 11.00am

17. There are 6 cities, of which each is connected to every other city. How many different routes can one trace from A to B, such that no city is touched more than once in any one route/
a) 48 b) 60 c) 65 d) 72

18. In a group of 80 coins, exactly one is counterfeit and weighs less than the others. U are provided a scale to weigh to coins. The min. no. of weightings req. to determine the counterfeit coin is
a) 4 b) 1 c) 5 d) none of these

Directions for questions 19 to 23

Mark a if the ans. Can be obtained using 1 and 2 independently
Mark b if the ans. Can be obtained by using only one of the two statements.
Mark c if the ans. Can be obtained by using both statements 1 and 2 but not either of them alone.
Mark d if the ans. Cannot be obtained by using 1 and 2

19. What is the selling price of product X
1. Profit as a % sales is 10%, cost price is Rs.27
2. Profit as % sales is 20%, cost price is Rs.20

20. Find the perimeter of the rear wheel of a cart?
1. When the cart moves 5m, the rear wheel moves R rotations less than the front wheel.
2. The radius of the rear wheel is 3 times that of front wheel.

21.Is a-b+c>a+b-c. a,b,c are integers.
1. b is negative
2. c is positive

22.What is the distance from mumbai to Nagpur?
1. Driving at 90kmph I reach nagpur I hr earlier than if I were to drive at 80kmph.
2. Driving at 100kmph I covered 40% of the distance in 7 hrs.

23.What is the age of father and the son?
1. The ratio of their ages is 5:3 now and will be 3:2 in 10 years.
2. The sum of their ages now is 80, and 5 years ago the ratio was 9:5.

24. A cube of 12cm sides is painted red on each side. It is cut into cubes of 3cm
side each. How many of the smaller cubes do not have any side painted red?
a) 8 b) 12 c) 16 d) 0


Directions for questions 25 to 28. Kamal Babu came home just after judging a beauty contest where there were four semi-finalists: Ms.Uttar Pradesh, Ms.Maharashtra, Ms.Andhra Pradesh and Ms.West Bengal. His wife was very keen on knowing who the winner was and kamal Babu replied immediately that it was the one wearing the yellow saree. When his wife asked for more details, he gave the following information:

The four girls were wearing saris of different colors (yellow, red, green, white) and the runner-up was wearing green.
The four girls were sitting in a row, and Ms.West Bengal was not sitting at either end.
There was only one runner-up and she was sitting next to Ms.Maharashtra.
The girls wearing yellow and white saris occupied the seats at either end.
Ms.West Bengal was neither the winner nor the runner-up.
Ms.Maharashtra was wearing white.
The winner and the runner-up were not sitting next to each other.
The girl wearing the green sari was not Ms.Andhra Pradesh.

Answer the following questions based on the above informtions.

25. Who was wearing the red sari?
a) Ms.Andhra Pradesh b) Ms.West Bengal
c) Ms.Uttar Pradesh d) Cannot be determined

26. Between which two was Ms.West Bengal sitting?
a) Ms.Andhra and Ms.Uttar
b) Ms.Andhra and Ms.Maharashtra
c) Ms.Uttar and Ms.Maharashtra
d) Cannot be determined

27. What was the color of the sari that Ms.Uttar Pradesh was wearing?
a) White b) Green c) Red d) Yellow

28. What was the color if the sari that Ms.Andhra was wearing?
a) White b) Yellow c) Red d) Indeterminate

Directions for questions 29-31. Shweta, Tina, Uma and Vidya were playing a game. The rule of the game is that the loser doubles the amount of money that each of the other has. They play four games. A different girl loses each game-in reverse alphabetical order. At the end of the fourth game, each girl has Rs.32/-.

29. Who started with the lowest amount of money?
a) Shweta b) Tina c) Uma d) Vidya

30. Who started with the highest amount of money?
a) Shweta b) Tina c) Uma d) Vidya

31. How much did Uma have at the end of the second game?
a) Rs.32 b) Rs.72 c) Rs.8 d) Rs.36

Directions for questions 32-33. Abel, Lucky, Bingo are three T.V. channels. A survey shows that 30%, 20%, and 85% of the people watch Abel, Lucky, and Bingo respectively. 20% of the people watch exactly two of the three channels and 5% watch none.

32. What % of the people watch all three channels?
a) 0 b) 5 c) 10 d) 20

33. If another survey indicates that 20% of the people watch Abel and Bingo, and
16% watch Lucky and Bingo, then what % of the people watch only Lucky?
a) 0 b) 5 c) 10 d) 20

Diections for questions 34-39. A museum curator must group 9 paintings-F,G,H,I,J,K,L,M,N,O in 12 spaces numbered consecutively from 1-12. The paintings must be in three groups, each group representing a different a different century. The groups must be separated from each other by at least one unused wall space. Three of the paintings are from the 18th century, two from the 19th century, and four from the 20th century.


Unused wall spaces cannot occur within groups.
G and J are paintings from different centuries.
J, K and L are all paintings from the same century.
Space no. 5 is always empty.
F and M are 18th century paintings.
N is a 19th century painting.

34. If space 4 is to remain empty which of the following is true?
a) Space no. 10 must be empty.
b) The groups of paintings must be hung in chronological order by century.
c) An 18th century painting must be hung in space 3.
d) A 19th century painting must be hung in space 1.

35. If the paintings are hung in reverse chronological order by century, the unused
wall spaces could be
a) 1, 5 and 10 b) 1, 6 and 10
c) 4, 7 and 8 d) 5, 8 and 12

36. Which of the following is a space that cannot be occupied by a 19th century
painting?
a) Space 1 b) Space 6 c) Space 8 d) Space 11

37. If J hangs in Space 11, which of the following is a possible arrangement for
spaces 8 and 9?
a) F in 8 and M in 9 b) K in 8 and G in 9
c) N in 8 and G in 9 d) 8 is unused and H in 9

38. If the 20th century paintings are hung in spaces 1-4 which of the following cannot
true?
a) Space 8 is unused b) Space 9 is unused
c) F is hung in space 6 d) N is hung in space 9

39. If the first paintings in numerical order of spaces are F, O, M, N, G which of the
following must be true?
a) Either space 1 or space 4 is unused
b) Either space 7 or space 12 is unused
c) H hangs in space 11
d) Two unused spaces separate the 18th and 19th century paintings

40. You have reached Utopia where you find two kinds of precious stones, rubies
and emeralds. The worth of a ruby and that of an emerald is Rs.4 lakhs and Rs.5
lakhs respectively while their weights are 0.3 kg and 0.4 kg respectively. You
have a bag that can carry maximum of 12 kgs. How many rubies and emeralds
would you carry such that their total value is maximized?
a) 20 rubies and 15 emeralds b) 8 rubies and 24 emeralds
c) 0 rubies and 30 emeralds d) None of the above

41. There are 10 coins. 6 coins showing head. And 4 showing tail. Each coin was randomly flipped (not tossed) seven times successively.after flipping the coins are 5 heads 4 tails one is hided the hided coin will have what.

42.People near the sea shore are leading a healthy life as they eat fish.but people at other part of the city are also healthy. Inference.

43. It is found from research that if u r a drunken then u have a less chance for chronic heart diseases. Inference.

44. A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus for every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey , The number of buses that the car encounter is ?

45. Varun buys 8 books,10 pens and 2 pencils and Babu buys 6 books, 5pens and 5 pencils. Babu pays 50% more than Varun. What is the amount Varun spends in buying pencils.

46. Find the number of integers divisible by either 3 and 12 from 1 to 999.

47. choclate – 1 Rs.
Apple – twice the choclate
biscuit - ¼ th of apple
consumption- biscuit = 2* choclate
apple > biscuit + choclate
what can be the amount spent?

ANS: a) 34 b) 16 c) 25 d) none



48-50
A,B and C start from the same point. A starts walking and B and C go in a bike. after sometime B drops C and picks up A likewise it is repeated. Walking speed for A and C is 5kmph. Speed of B’s bike
is 20kmph. They reach at the same time which is 100 km away.

48. What is the total time taken?

49. What is the distance walked by A

50. 2nd meeting point

51. The diameter of the circle is 4cm. The area of the shaded portion is 1/3rd area of the square. Find the side of the square








52. In 400m race a gives b a start of 7 sec &amp; beats by 24m.in another race a beats by 10 sec. the speeds are

a)8,7 b)7,6 c) 12,10 d) 10,8


53. A is thrice as good as a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the same work in :
a) 12 days b)15 c)20 d)30
ans available in Agarwal: pp 261 (13)

54.What is the number of squares under the figure? ans: 16


55. Three groups of students 60, 84 and 108. They should be placed in a room for a test. In each room, only one group of students should be placed. All the rooms should have equal no of candidates. What is the minimum no of rooms required? Ans:21


DO THE QUANS FIRST, THEN THE ANALYTICAL AND FOR THE LAST TEN MINUTES DO THE PASSAGES.

This is only a sample paper. We are not providing you with all the questions - just some questions to give you a general idea of the test pattern.

SECTION I - 8 questions based on series.


1. These questions involve interchange of letters in a word at particular locations and also interchanging letters adjacent to those particular locations.Certain other conditions may also be given
For eg.
Let the word be ABBAABA
If we apply 25 on this, it means we have to interchange the letters at positions 2 and 5, also we have to change the letters adjacent to positions 2 and 5 i.e.from A to B and B to A.
A B B A A B after Step 1 i.e interchange of 2 and 5 becomes AABABB
Now change adjacent elements of 2 and 5...finally answer becomes
Ans: B A A B B A

Questions 1-5 are based on the pattern with changed numbers as described above
Questions 6-8 are of the following type
To get AAABBD from BBBAAA what number should be applied:-
a) 25
b) 34
c) 25 & 34
d) none

SECTION II

1. Given the following functions
(1) f(n a b c ) = ac if n=1
(2) f(n a b c) = f( n-1 a c b) + f( 1 a b c) + f( n-1 b a c ) if n > 1

Then what is the value f( 2 a b c ) = ?

Ans: f( 2 a c b ) = ab + ac + bc.

2. Similar question on functions.

3. [ Based on the function in the first question] For the function f( 4 a b c ) the number of terms is...?
Hint f( 4 a b c ) = f( 3 a c b ) + f( 1 a b c ) + f( 3 b a c ) etc.


4. What is the value of the function f( 5 a b c ) = ?

SECTION III

Permutations and Combinations.
8 Questions.

1. r = number of flags;n = number of poles;
Any number of flags can be accommodated on any single pole.

1)r=5,n=5 The no. of ways the flags can be arranged ?

Questions 2-5 are based on the above pattern

6. r = 5 n = 3 . If first pole has 2 flags, third pole has 1 flag
How many ways can the remaining be arranged?

Questions 7.& 8. are similar to Question 6.

SECTION IV
Question consisting of figures - Pattern-matching type.
Refer R.S Agarwal's book on Analytical Reasoning & TMHs Quantitative ability book by Edgar Thorpe.



SECTION V
In this section first part of compound word is given. Select meaning of the second part from the choice given:
1. Swan
2. Swans
3. Fool
4. Fools
5. Stare
6. Lady
For all above 4 choices are given.....

Eg. Swan ---> Swansong (compound word)
a) category b) music c) television d) none
Ans: Swansong is compound word. But song is not given as an option. so (b) music is the answer.


CTS 2004 – Anna University. June 2, 2004


1)



Diameter of circle is d, Find length of string.(outer string that covers the circle)

Ans: d (pi + 3)

2) Diamond\’s value is proportional to its weight2 .When the diamond broke wts of pieces in ratio 1:2:3;4:5.

Total loss in value is 85,000.What is the value of the diamond twice the wt of the original diamond.

Ans : 450,000

3)Person X join a job at 20 yrs.First 3 years sal =10,000 p.a. Afterwards every year inc of 2,000 per year for 10 year. Then sal become const till retirement. at retirement avg sal is 25,000. ( thro’out career) what age he retires.?
Ans : 50 yrs

4)In an island there r tribals who speak lang of atmost 4 words.Lang consists of 4 alphabets.How many words can be formed in that language? Ans 340

5) It was found that the cause for the malaria was the swamp marsh and so r swamps were drained .Mosquito the real cause for malaria due to lack of breeding grounds (Swamps) also was wiped out. What does this illustrate?

(Ans : (Possible) when many conditions form a result eradication of one cause also eradicates the result)

6)An officer kept files on his table at various times in the order 1,2,3,4,5,6 .Typist can take file from top whenever she has time and type it.What order she cann’t type.?

(Ans : 4,5,6,2,3,1)

7)A and B r fighting .B fires 3 times as many missiles as A. Total hits: total misses = 1/7 .B’s misses 357.B’s hits – A’s hits = 66.A’s hits?

8)40 shots taken.50p for a hit.10p for a miss.(he have to give).Finally he has Rs.5.How many hits.? Ans 15

9)Find avg of a,b,c,d,e .Given data : avg of any 4 num =avg of any 3 num 2)(a+b)² = 36

Which of the abv are sufficient?

10)What is the difference in times btwn clk 1 & clk2.

1) both show same time 6 hrs back 2 ) 1 clk gains 1 min an hr,clk2 gains 2 min an hour.
Like abv….

11)A takes 9 strides to B’s 7 strides. A stride = 1meter.B stride =1.2m B gets the start of 24m.What dist should A travel to overtake B?

12) Tortoise gets 100 m head start. Hare is 10 times faster as tort. What is the dist traveled by hare to catch up tort.?

13)4 weights r weighed in pairs. Weights of pairs are determined as 103,105,106,106,107,109 What is the min wt?
Ans 51

14) Constant cost = 300
and 1.75 / copy. How many copies should he sell at 7.75 /copy to make a profit.

15)

Find the perimeter ? ANs 28

16) 20 members avg =10.5. 3 memb of 11.5,12.5,13.5 left and 3 memb of 10.5,12.5,14.5 joined along with a teacher of 21 yr.Now avg = ….Ans 11.

17)


Find the area of shaded. Radius of circle = 1cm…..Arcs r drawn with center at circumference.

18)



Find the area of the shaded portion?

19) Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes.(1 * 1 * 1).the big cube is painted in all its faces. Then how many of cubes are painted at least 2 sides. (Ans 56)

20) A Bacteria is doubling at every 4 min. After 40 min 1024 bact. Then 256 when>…..? Ans : 32 min

21) A bag contains 3 balls of 11 different colors each. Find the min no of chances to find at least 3 balls of same color?

Ans : 23

22) If x² < 4 then 100/x is….? Ans : 100/x > 50 & 100/x < -50.

23) If [x] is the int less than x and |x| is the abs val of x.Then max of [x]/|x| is Ans d)none

24) A work in 12 days b in 15 days. Find the no of days if they work on alternate days. Ans 13 ¼

25) A,B,C r positive int.Out of them 2 r odd. Then 5²a + ( b-5)3 (c-3)² = ? Ans : always odd.

26) A squarer side is 5cm.If a square of side 10cm is hinged @ the center of the prev square. when they r rotated common area to both squares (Ans : Does not change)

27) 3p² + pq + 5q² is even. If

a) If p is odd, q is odd
b) If p is even, q is odd
c) If p is odd ,p is even
d) Atleast one of p and q is odd.

Choices are given. Ans : 4) None of these

28) A lady has to feed a dog for the one week from Monday to Sunday .She has food types M,N,O,P,Q,R,S .

MNOP ? protein enriched RS -? vitamin enriched. Vitamin enriched cannot be fed on consecutive days.

Conditions given : M should be fed before S.
M should be fed before Q.
R Should be fed before S.
Before N and Q there should be four types.
Based on this 3 ?s are asked.All r easy to answer…
29) A man bought at the cost of 5 plums a rupee and 2 oranges a rupee.He sells 10 plums and 6 oranges at the selling price of 4 plums a rupee and 3 oranges a rupee.What is his gain or loss? Ans loss of 50p.
30) Out of 32 books the cost of 10 books is Rs. 50 each and he got a profit of 4%. He sells 15 books at a profit of 3.8461% on the selling price of Rs 70. The remaining cost is 576. The remaining books are sold at Rs 74. What is his total profit.
31) Two solutions have milk & water in the ratio 7:5 and 6:11.Find the proportion in which these two solutions should
Be mixed so that the resulting solution has 1 part milk and 2 parts water?
a)35:3 b)21:36 c)not possible Ans :c

Further ?s are from reading comprehension.(verbal reasoning) All are easy to answer if u read carefully.



Interview


Depending on ur interest area(Operating systems,networks,DBMS,software engineering)
choose the questions given below and prepare for it.
these are some cts ques. asked in interview

[1] What are the current trends and areas of focus in
IT.
[2] What is a Micro-Kernel architecture.
[3] Describe the memory management policies in Unix.
How is paging implemented? How page faults are
handled?
[4] What is the CPU-scheduling policy in Unix? - Round
robin scheduling with multilevel queues.
[5] Describe the Sliding window protocol. What is it's
advantage over stop-and-wait?
[6] Diff between compilers and interpreters. Some
fundaes about how to link code in different files.

personal:

1. Tell us about yourself, your background.

2. What does your father do currently.

3. Your performance in schooling, B.E.

4. Your points.

5. Aren't you going for higher studies abroad? Why?
6. What qualities do you have that make you a person
suitable for going into the IT industry .

7. What do your friends opine about you.

8. When do you think you will complete and be able to
join.

9. How can you assure that you will join by that time.

10. Anything you want to know about us.

11. Significant achievements in life.

( may be paper publications etc. )

more questions:

->Why paging is used ?

->Which is the best page replacement algo and Why ?

->WHat is software life cycle ?

->How much time is spent usually in each phases and
why ?

->What is testing ?

->Which are the different types of testing ?

->Which are the different phases in Software life
cycle (asked again)

->Why is analysis and testing phases very important ?

->Why networks are layered ? What is the advantage of
that ?

->How many layers are there in OSI ? Why is it called
OSI model ?

->network topologies ?

->Which are the different network toplogies ?

->an example of bus type network.

->What is the Bandwidth of ethernet ?

->Explain the advantage and disadvantage of ethernet ?

->Which is the protocol used in ethernet. (CSMA/CD)
Why is it called so ?

->What is the advantage of Ring network ?

->Compare it with ethernet.

->What is inheritance, encapsulation etc.

->If there are too many page faults what is the
problem?

->To ensure one pgm. doesnt corrupt other pgm. in a
Multi-pgm. enviornment

what you should do?

->Which one you will use to implement critical
section? Binary Semaphore

-> Which one is not needed for Multi-pgm. enviornment?

options are: virtual memory,security,time sharing,none
of the above.

->Which one is not done by Data link layer ? bit
stuffing, LRC,CRC,parity check


-> Which one is not related to Data link layer?

-> Which one is not suitable for client-server
application? tcp/ip,message passing,rpc,none of the
above.

->Term stickily bit is related to a)kernel
b)undeletable file c) d)none

->semaphore variable is different from ordinary
variable by ?

-> Where semaphore is used?

-> what is Test and set lock?

-> what is critical section and metods for mutual exclusion?

-> what is internal fragmentation ,external fragmentation,compaction?

-> what is page fault?How the os finds a page fault has really occured?(protction bits: valid bit, invalid bit)

->producer-consumer problem ,reader- writer problem

ABOUT LINUX



->if u say ur favourite pass-time is chatting then u'll be asked
how a "CHAT" application works.

->if u say I "search" a lot in the web using google u'll be asked how a search engine works
(need not say in detail just say it briefly)

->how internet works(for eg; when u type www.yahoo.com what actually happens how the yahoo page is loaded?

-> Operator overloading ,virtual functions(write programs)

1.like what is data model types of data model
2.what is RDBMS.
3.what is normalization,functional
dependency,1NF,2NF,3NF,BCNF.
4. what is oops.
5.what is the difference between c++ and c;
6.properties of oops.
7.inhetence,sequence diagram.
8.XML,ASP,
9.what is an operating system.
10.what is multitasking.what is timesharing.
11.what is memeory management.
12.what is virtual paging.
13.about your salabus.
13.what is microprocessor,about 8085 etc.
14.intoduce your self.
15.about your hobbies.
16.if not related to computer branch then some very
small puzzel and
some techenical question
related with the branch.


1>normalization
2>data model
a.record base
b.logical base
c.object base
3>what is a parent key
4>time complexcity of different sorting algos
5>what is o.s
6>semaphore
7>describe view mechanism
8>joining(outer,lossless!)
9>functional dependency
10>ffd
11>ddl,dml,dcl
12>three tier structure
13>vertical ,horizontal projection
14>explain rdbms,ddbms
15>fixed fomat data model
16>name the technology used to connect a dbms to front end
17>how will u design a dbms

what is data dictionary,dba,about normalization etc.
why it is called relational.
-------

Technical:

what is o.s?
what is a deadlock?
what is a semaphore?
difference between semaphore & monitor?

what is sdlc(software development life cycle)?


what is a linklist,stack,queue?
write a program to reverse a linklist?

what is dba?
difference between primary,foreign,candidate&super key?
different type of databases?
what is normalsation?explain them?

four division in cobol?
significance of 01,77,88,66 level?

function of compiler?
difference between object file & exe file?


difference between c &c++?
difference between sql&c++?


1. You must do R.S.Aggarwal and Shakuntala Devi before writing the
Test. Mostly questions were on this pattern only.

2. You must try to solve the previous q papers of INFY.

3. Attempt only those questions which u thnk u r sure....i mean dead
sure..coz accuracy matters in this company.

4. Cut off is very low for Pune Centre. i thnk it wll b near round
15. So ur attempt shud b less.(only dead sure)

i remember some of the questions..

1. Shakuntala Devis question of 5(4+1 spare) tyres..20,000 kms..how
much distance wll they cover..
ans: 16,000

2. 1/7 th is subtracted from 1/4 th of number thn 13 is added ...like
this..wht is the number..(easy one)

3. Then some questions from coding decoding. like if A is interpretd
as .. and X is ._ then TAXI wll b interpreted as.... 4 questions like
this

4. Then simple reasoning questions from GRE's Analitical Portion.

5. You must practice GRE"S Analitical Section questions plus critical
reasoning questions..like A,B,C,D,E are brothers....and P and R are
wifes THN u have to point relations ...these questions are very easy
but u shud practice once...

others are also easy but practice is must ...

must read all the questions ...last page questions are easy..

English portion is not tough




i)
Series Transformation
1) If 102101->210212 then 112112->?
a)
b)
c)
d)

2) if 102101-> 200111 then 112112->?
Again there r 4 choices.

3) If 102101->101201 then 112112->?
Again there r 4 choices.

Tips:The 1st one all change 0->1, 1->2, 2->1
The 2nd on alternate do not change
The 3rd it is just reverse of the original string
_______________________________________________________
ii)

Target=127: Brick=24,17,13: Operation available= +,/,*,-
Again there r 4 choices.For ex choice b)20,6,7


Tips:Answer is b one bcos 20*6+7=127.Hence it is the answer
Q:1)U HAVE TO MAKE A TARGET =102; THE ANSWER FROM THE OPTION IS (6,17,2,1)
2)TARGET=41;FIVE NO.S WERE GIVEN;25 22 16 5 1 U CAN USE THE NO.S ONLY ONCE&CAN PERFORM OPERATION +,MULTIPLY,-,/,()ONCE;
OPTIONS WERE;
A)25 22 16 5 B)25 22 16 1 C)25 22 5 1 D)25 16 5 1)
4 SUCH QUESTINS ARE THERE.

2)87
3)146
4)127
THERE ARE SOME FIGURATIVE QUESTION;SEE FROM COMPETITION MASTER,I CANT REMEBER THE FIGURE.4 QUESTIONS ARE THERE
__________________________________________________
iii)

Cryptic Sentence. Form word
A sentence is there .a cryptical clue is hidden in the sentence. Find out answer from the opticn.
1)a friend in rome
a)aerodrome b)palindine c)palindrome d)condome
ans:palindrome

2)Rowed them across
a)crosswiz b)acropolis c)acroword d)crossword
Ans:crossword/crossover

3)cuticle cutting the filly glass
a)cubicle b)uphilly c)cutglass d)cutlass
Ans:cutlass

4)hat jumps upward in a water closet
a)watch b)witch
ans:watch/whatever


Tips:The 1st oneJumble out the word SHORE to get the word HORSE and then get the adjective
of the word HORSE as TROJAN
The 2nd one lips->slip->freudian/french

_______________________________________________________________
iv)

Anagram noun form the correesponding adjectives

There re options.
Q:some nouns are jumbled on ,you have to rearrange, look for a suitable adjective:
Make a phrase then.
1)shore
a)aegean b)Indian c)trojan d)Spartan
ans:trojan

2)sire
a)dutch b)rome c)herculean d)mercurial
ans:mercurial

3)ourcage
a)english b)rome c)dutch d)Spartan
ans:Spartan

4)lips
Again there r 4 choices.
Ans:freudian/french


_______________________________________________________________
v)

Jigsaw puzzle as given in the book by Edgar Thorpe, of TMH Publications

_____________________________________________________________________

vi)

FUNCTIONS same as CTS_BLACK\fun

____________________________________________________________________

vii)

x , y -> strings of G st there is at least one G in x and y

xoxy valid
xoy->xoxy invalid
Find valid & invalid strings

____________________________________________________________________
viii)there were a couple of ( seven to be
precise)figures ( tetris type if u remember that game)
given in the main theme. The 10 questions that
followed showed patterns which were formed due to
combination of the 7basic figs. NOTE: the intersecting
part of the combined fig. always gets subtracted from
the total combination

Hello Shivesh
CTS paper was of diff pattern this time and there were
ateast 5 different sets of question papers given to
students. Of the type i recvd, as i told there wer
10x4 questions for 60 mins.
section:

4) last section( thats bcoz i remeber it well)
had meaningful words whose anagrams are nouns and
we hav to choose the best adjective from the list to
describe this noun:
ex: shore ( word given)
choices: a) roman b) spanish c) trojan d)....

ans: c) trojan
shore is anagram(jumbled form of) 'horse' and
trojan-horse is the best match

3) there were a couple of ( seven to be
precise)figures ( tetris type if u remember that game)
given in the main theme. The 10 questions that
followed showed patterns which were formed due to
combination of the 7basic figs. NOTE: the intersecting
part of the combined fig. always gets subtracted from
the total combination

2) This section had the funda of xOy where x and y
represented strings of Gs . The test was to find the
valid or invalid patterns with ref. to the rules

1) L=list of objects
ex:L={a,b,c,d} where a,b,c,d are objects
P(L) was a function( dont remembr xatly)
M(L) was another function defined etc
in the following questions P(x) etc were given to be
found out.
Note : this may take considerable amnt of time. so
take intelligent guesses


Section 1 : Functions.

Q: 1 - 8

Certain functions were given & based upon the
rules & the choices had to be made based on recursion.
This is time consuming, but u can do it.
Try to do it at the end. start from the last section.

L(x) is a function defined. functions can be defined as
L(x)=(a,b,ab) or (a,b,(a,b),(a,(b,b)),a,(b,b))....
two functions were given A(x) & B(x) like
if l(x)=(a,b,c) then A(x)=(a) & B(x)=(b,c)
i.e., A(x) contains the first element of the function only.
& B(x) contains the remaining, except the first element.
then the other two functions were defined as
C(x) = * if L(x) = ()
A(x) if L(x) = () & B(x) != ()
C(B(x)) otherwise
D(x) = * if L(x) = ()
** if B(x) = ()
A(x) if L(x) != () & B(x) != ()
D(D(x)) otherwise

now the Questions are,

1 : if L(x) = (a,b,(a,b)) then C(x) is ?
(a): a (b): b (c): c (d): none
2 : if L(x) = (a,b,(a,b)) then find D(x)
same options as above
3 : if L(x) = (a,b,(a,b),(b,(b))) find C(x)
4 : -----------~~~~~~~~---------- find D(x)
5 : if L(x) = (a,(a,b),(a,b,(a,(b))),b) then find c(x)
6 : -----------~~~~~~~~---------- find D(x)
7 : if L(x) = (a,b,(a,b)) then find C(D(x))
8 : -----------~~~~~~~~---------- find D(C(x))


Section 2 : Word series
Q's : 9 - 16

This is one of the easiest section. Try to do it at first.
if S is a string then p,q,r form the substrings of S.
for eg, if S=aaababc & p=aa q=ab r=bc
then on applying p->q on S is that ababaabc
only the first occurance of S has to be substituted.
if there is no substring of p,q,r on s then it should not be
substituted.

If S=aabbcc, R=ab, Q=bc. Now we define an operator R&#61672; Q when
operated on S, R is replaced by Q, provided Q is a subset of S,
otherwise R will be unchanged. Given a set S= ………., when R&#61672; Q, P&#61=
672; R, Q
&#61672; P operated successively on S, what will be new S? There will be 4 =

: if s=aaababc & p= aa q=ab r=bc then applying p->q, q->r & r->p will
give,
(a): aaababc (b): abaabbc (c): abcbaac (d): none of the
a,b,c
10: if s=aaababc & p= aa q=ab r=bc then applying q->r & r->p will
give,
11: if s=abababc & p= aa q=ab r=bc then applying p->q, q->r & r->p will
give,
12: if s=abababc & p= aa q=ab r=bc then applying q->r & r->p will
give,
13: if s=aabc & p=aa q=ab r=ac then applying p->q(2) q->r(2) r->p
will
give,
(2) means applying the same thing twice.
14: similiar type of prob.
15: if s=abbabc p=ab q=bb r=bc then to get s=abbabc which one should be
applied.
(a): p->q,q->r,r->p
16: if s=abbabc p=ab q=bb r=bc then to get s=bbbcbabc which one should
be
applied.
Let us consider a set of strings such as S=aabcab. We
now consider two
more sets P and Q which also contain strings. An operation
P->Q is defined in
such a manner that if P is a subset of S, then P is to be
replaced by Q. In
the following questions, you are given various sets of
strings on which you
have to perform certain operations as defined above. Choose
the correct
alternative as your answer.

(the below are some ques from old ques papers)

21. Let S=abcabc, P=bc, Q=bb and R=ba. Then P->Q, Q->R, R-
>P changes S to
(A) ............ (B) abcabc (C) ............
(D) none of A,B,C
22. Let S=aabbcc, P=ab, Q=bc and R=cc. Then P->Q, Q->R, R-
>P changes S to
(A) ababab (B) ............ (C) ............
(D) none of A,B,C
23. Let S=bcacbc, P=ac, Q=ca and R=ba. Then P->Q, Q->R, P-
>R changes S to
(A) ............ (B) ............ (C) bcbabc
(D) none of A,B,C
24. Let S=caabcb, P=aa, Q=ca and R=bcb. Then P->Q, P->R, R-
>Q changes S to
(A) ............ (B) ............ (C) ............
(D) none of A,B,C




Section 3 : numerical series
Q's : 17 - 24

This is little bit tough. proper guesses should be made.
find these probs in r.s.aggarval's verbal & non verbal reasoning.

17: 2,20,80,100, ??
(a): 121, (b): 116 (c): (d):none
18: 10,16,2146,2218, ??

like these other series were given.

section 3 : series (from other booklet)
transformations

17: 1 1 0 2 2 1 1 ---> 0 0 1 0 0 2 2
1 0 1 1 0 0 1 ---> 2 1 2 2 1 1 2
then
2 2 1 1 0 1 1 ---> ????
ans may be 0 0 2 2 1 2 2

18: 1 1 0 0 2 2 ---> 2 2 0 0 1 1
1 0 1 1 2 1 ---> 1 2 1 1 0 1



Section 4 : figures

19:
^ ^ ^
| -> <- | -> |
^ : ^ :: ^ : ?
| -> <- | <- |

ans is :

^
| <-
^
| ->

all probems are very easy.(see cts_old\cts13 file)
some are mirror images, some r rotated clockwise/anti


Section 5 : Verbal
if u have a very good vocab. then this section is managable.
two words together forming a compound words were given.
the q's contained the second part of the compound word.
the first word of the compuond word had to be guessed.
then its meaning had to be matched with the choices.

if the word is "body"
then its meaning of its first part is..
its really tough to guess..
the words were however very simple
some words which i can remember are, head, god,
(see old papers)
like
block head
main stream
star dust
Eg: OLD PAPERS
(1) -(head)- (a) purpose (b) man (c)obstacle
(d)(ans:c for blockhead)
>(2) (dust)- (a) container(b)celestial body
(c)groom(d)(ans: c for star dust)
>(3) (stream )-(a) mountain (b) straight (c) (d)
(ans:a)
>(4) (crash)- (a) course (b) stock3 anagram
>first find the anagram of the given word & then
>choose the meaning of the anagram from the options.
>1. latter ->rattle 2..spread 3.risque
4.dangled(ansjogged)…

All the Best !!

CTS Questions 28th May 2004

There are 60 questions to be answered in 60 minutes

In a club there are certain no. of males and females. If 15 females are absent then no. of males will be twice that of females. If 45 males are absent then female strength will be 5 times that of males. Find no. of males actually present. Ans : Males 80,Females 175

Three men A, B, C plays Cards. If one loses the game he have to give Rs.3. If he wins the game he will gain Rs.6. If A has won 3 Games, B loses Rs.3, C wins Rs.12.What is the total no. of games played? Ans :

A can swim & cross 50m(the length of swimming pool) in 2 min. B can swim & cross 50m in 2min 15sec. Every time when they meet a bell gong is struck. For 2000m how many bell sounds might be produced? Ans : 37

When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me. The average age of my family during my marriage is same as today. What is the age of Father when he died? Ans : 60

There are 9 balls of equal size and same weight(they look similar) except 1. How may weighs required to find the dissimilar ball using a weighing balance? Ans : 3

Product of Prime no. between 1 to 20? Ans 9699690

Find out the total numbers between 1 to 999 that are neither divisible by 8 nor by 12? Ans :833

Find out the distinct numbers that can be formed by 2, 3, 7, 6(don’t now exactly) that should be divided by 4? Ans :8


Two trains at speed 60 km/hr comes in the opposite direction. At a particular time the distance between the two trains is 18km. A shuttle flies between the trains at the speed of 80 km/hr. At the time the two trains crashes what is the distance traveled by shuttle?
Ans:12 km

There are n urns and m balls. If we put 3 balls in each urn 3 balls will be excess. If we put 4 balls in each urn 1 urn will be excess. Find no. of Urns (or) Balls?
ANS:7 URNS & 24BALLS.

Find the area not occupied by circles:
Given length =y breadth =x (Answer: 3x2(1-pie/4))



A man gets x/y of Rs.10 and y/x of Rs.10. He returns Rs.20. The Answer choices are
a) He may not lose Ans He never losses
b) He may lose
c) He always loses
d) Cannot be Determined

Three men A,B,C can complete a work separately in some specified days(may be8,7,6).
If they do the work together by alternate days. Then how many days need to complete the work? Ans 7 1/8

14)Four Members A,B,C,D are playing a game .A person losing a game should double the amount of others .B,C,D are losing in order after three games .The amount after 3 games are A&B having 40,D is having 16&C 80.
Each questions carry one mark:
a) who started with small amount of money?
Ans)A=5
15)who started with greatest amount of money?
Ans)B
16)what amount did B have?
Ans)93
Hint: I solved and found the answers to be A->5,B->93
17)There are some houses in a street back to back .And they that house behind 10 was 23.
How many houses in the street?
Ans)32
18)There are 1997 doors in a auditorium and as many as people as the no of doors open enter the auditorium .A door was closed and as many as people as no of doors open leave the auditorium . the process was repeated till the no of doors is equal to1.find the total no of peoples enter the auditorium?Ans :1996

19)A batsman average was 15.at last innings he took 23 runs then his average became
16.how much run he should take to make his average 18?Ans 39

20)Find the number WXYZ divisible by 36?
i)let the digits be5,4,3,6 -not in that order
ii)sum of last two digits is 9
iii) sum of middle two digits is 7
->if one is sufficient then ans asA || if two is sufficient then ans as B||if all are necessary then ans as C|| if nothing is needed then ans as D

21)X and Y live in a North-South parallel street. X travels 10 km towards North to reach the east-west street . Y travels 6 km towards south to reach the east -west street . X travels now 4km towards east and y travels 8km towards west and they met each other. What is the distance between x and y? Ans : 20km

22)The houses are numbered 1,2,3,… and reach the end of the street and backtracks toward s the starting point. The house numbered 10 is opposite to 23. there are even no of houses. Find the total no of houses.Ans :32

23)A seller has a set of apples out of which he sells one half of it and half an apple to his first customer.then he sells half of the remaining apples and a half apple to his second customer.Then he sells half of the remaining apple and ½ apple to his third customer and so on.This repeats upto 7th customer and no more apples are remaining . Find the total no of apples he had. Ans :127 (2 pow n) -1

24) A hollow cube of size 5cm is taken , with the thickness of 1cm . it is made of smaller cubes of size 1cm . if the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?Ans 438

25)if a 36 cm thread is used to wrap a book , lengthwise twice and breadthwise once, what is the size of the book? Ans 7,4 & 8,2 Area 6

26)
the various degrees of the vertices are marked in the dig. Find y Ans =54

27)if 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square? Ans 3 pie r pow 2 [461.58]

28)A bus has 40 seats and the passengers agree to share the total bus fare among themselves equally. If the total fair is 80.67 , find the total no of the seats unoccupied.Ans :37

29) A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are repeated.Find the possible no of combinations divisible by 36? Ans :0

30) if u r traveling from Mumbai to banglore and return back .To find the speed of the car which of the following r needed.
a)the distance between them.
b)time taken
c)avg speed towards Mumbai and the avg speed towards banglore.
Choices:
1)a only. 2) Ans a and b 3) a,b,c 4)b only 5)Ans c only ( ans not in order)

31)

( Diagram drawn approximate not to scale.)
if all the blocks are squares and the complete fig is also a square and the area of the a is 1 cm2,b=81 cm2what is the area of i? Ans = 324

32) A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
a)47.5 min b)50 min c) 500 min d)…. Ans: 47.5 min ......35min

33) Three birds cross a point in a same st. line and of that 2 fly in opposite directions. If a triangle is formed with the position of the birds what kind of the triangle will be formed?
a) Ans If same speed isosceles b)right angle c)equilateral d)right angle and isosceles.

34)

when the angle a, b, c, d are given find x.

35) One question is given for explaining the working of cornea (in eyes) & the window
Ans: drawing analogy
36) m<n, & x<y which of the following is definitely false
a)m-n < x-y b)m+n < x+y
c)&d) Similar options using all 4 variables Ans : x-m<y-n

37)Four circles are drawn from the corners of a square of area 49 cm2 . Find the area of 4 circles outside the square
(they didn’t mention that circles have radius=1/2 side of a square)
Ans: intermediate

38)In a pond ecosystem,large fishes and small fishes will be there.If we want to remove small amount of pollutants,small fishes are to be employed.In a food-chain food passes through a number of mouths and en route the mouth of the superfeeder-the eagle.The size of the ecosystem is determined by its population.But this has been proved false.
What can you infer from above?
(4 choices)

39)In Bangalore,during income tax deduction for a single person,the percentage increased by 3% and for middle house-holders,it decreased by 3%.What can you infer?

40)In China,Mao-Tse -Tung was responsible for organizing its people and taking China into success path.It evolved into a great economic power by improved industrial and economical statistics.China prospered in those years,but_________________
Which of the following best completes the sentence?(4 choices)

41)A ridge formed over Pacific Ocean was because of the intersection of two volcanoes.But in history it was written that it was not due to those volcanoes.It proves a contradictory to form the view that history will be proved wrong in the future.
Inference?

42)In a poultry form because of cloning,a large breed of hens were produced.This increased the production but the maintenance was very difficult because of the large number.This does not mean that cloning is a disaster in the scientific world but it is a tool which in some ways is constructive but in other ways ,it is destructive.Inference?

(The remaining verbal questions are easy and they can be answered by seeing the question carefully)





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