Two identical circles intersect so that their centres, and the points at which they intersect,
form a square of side 1 cm. The area in sq. cm of the portion that is common to the two
circles is:

Two identical circles intersect so that their centres, and the points at which they intersect,
form a square of side 1 cm. The area in sq. cm of the portion that is common to the two
circles is:

1 Mark(s)

(π/2) – 1

4

√2 – 1

√5

A sudoku grid contains digits in such a manner that every row, every column, and every 3x3 box accommodates the digits 1 to 9, without repetition. In the following Sudoku grid, find the values at the cells denoted by x and y and determine the value of 6x + 15y.

A sudoku grid contains digits in such a manner that every row, every column, and every 3x3 box accommodates the digits 1 to 9, without repetition. In the following Sudoku grid, find the values at the cells denoted by x and y and determine the value of 6x + 15y.

1 Mark(s)

87

75

66

99

In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated

In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated

1 Mark(s)

24P7 * 2 * 18!

36 * 24!

24P7 * 2 * 20!

18 * 24!

Anand packs 304 marbles into packets of 9 or 11 so that no marble is left. Anand wants to maximize the number of bags with 9 marbles. How many bags does he need if there should be atleast one bag with 11 marbles

Anand packs 304 marbles into packets of 9 or 11 so that no marble is left. Anand wants to maximize the number of bags with 9 marbles. How many bags does he need if there should be atleast one bag with 11 marbles

1 Mark(s)

33

32

31

30

Two vehicles A and B leaves from city Y to X. A overtakes B at 10:30 am and reaches city X at 12:00 pm. It waits for 2 hrs and return to city Y. On its way it meets B at 3:00 pm and reaches city Y at 5:00 pm. B reaches city X, waits for 1hr and returns to city Y. Afer how many hours will B reach city Y from the time A overtook him fro the first time?

Two vehicles A and B leaves from city Y to X. A overtakes B at 10:30 am and reaches city X at 12:00 pm. It waits for 2 hrs and return to city Y. On its way it meets B at 3:00 pm and reaches city Y at 5:00 pm. B reaches city X, waits for 1hr and returns to city Y. Afer how many hours will B reach city Y from the time A overtook him fro the first time?

1 Mark(s)

50 hrs

49.5 hrs

41.5 hrs

37.5 hrs

The sum of three from the four numbers A, B, C, D are 4024, 4087, 4524 and 4573. What is the largest of the numbers A, B, C, D?

The sum of three from the four numbers A, B, C, D are 4024, 4087, 4524 and 4573. What is the largest of the numbers A, B, C, D?

1 Mark(s)

1712

1650

1164

1211

A certain function f satisfies the equation f(x)+2*f(6-x)=x for all real numbers x. The value of f(1) is

A certain function f satisfies the equation f(x)+2*f(6-x)=x for all real numbers x. The value of f(1) is

1 Mark(s)

1

2

3

Cannot be determined

Find the number of rectangles?

Find the number of rectangles?

2 Mark(s)

27

30

When Usha was thrice as old as Nisha, her sister Asha was 25, When Nisha was half as old as Asha, then sister Usha was 34. their ages add to 100. How old is Usha?

When Usha was thrice as old as Nisha, her sister Asha was 25, When Nisha was half as old as Asha, then sister Usha was 34. their ages add to 100. How old is Usha?

1 Mark(s)

37

44

45

40

Professor absentminded has a very peculiar problem, in that he cannot remember numbers larger than 15. However, he tells his wife, I can remember any number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example (2,2,3) is 17. Professor remembers that he had (1,1,6) rupees in the purse, and he paid (2,0,6) rupees to the servant. How much money is left in the purse?
option

Professor absentminded has a very peculiar problem, in that he cannot remember numbers larger than 15. However, he tells his wife, I can remember any number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example (2,2,3) is 17. Professor remembers that he had (1,1,6) rupees in the purse, and he paid (2,0,6) rupees to the servant. How much money is left in the purse?
option

1 Mark(s)

59

61

49

56

Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125

Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125

1 Mark(s)

12

9

14

7

There is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save. Auggie was very curious to test this theory.
Auggie spent all of his money in 5 stores. In each store, he spent Rs.4 more than one-half of what he had when he went in. How many rupees did Auggie have when he entered the first store?

There is a lot of speculation that the economy of a country depends on how fast people spend their money in addition to how much they save. Auggie was very curious to test this theory.
Auggie spent all of his money in 5 stores. In each store, he spent Rs.4 more than one-half of what he had when he went in. How many rupees did Auggie have when he entered the first store?

1 Mark(s)

248

120

252

250

\(\ If \ a = {\sqrt {3} \ \over2}, then \ the \ value \ of \ \sqrt { 1+a} \ +\sqrt {1-a} \ is\)

\(\ If \ a = {\sqrt {3} \ \over2}, then \ the \ value \ of \ \sqrt { 1+a} \ +\sqrt {1-a} \ is\)

5 Mark(s)

A

B

C

D

Find the number of squares?

Find the number of squares?

2 Mark(s)

10

15

\(\sqrt {53824 } \ =?\)

\(\sqrt {53824 } \ =?\)

2 Mark(s)

232

202

Find the number of triangles?

Find the number of triangles?

2 Mark(s)

16

13

The square root of 64009 is :

The square root of 64009 is :

2 Mark(s)

253

246

The value of \( \sqrt {0.121} \) is

The value of \( \sqrt {0.121} \) is

2 Mark(s)

0.347

0.235

\(\sqrt {1.5625 } \ =?\)

\(\sqrt {1.5625 } \ =?\)

2 Mark(s)

1.25

1.65

Find the number of square?

Find the number of square?

2 Mark(s)

16

13

The output of the code below is

#include <stdio.h>
int *m()
{
int *p = 5;
return p;
}
void main()
{
int *k = m();
printf(“%d”, k);
}

The output of the code below is

#include <stdio.h>
int *m()
{
int *p = 5;
return p;
}
void main()
{
int *k = m();
printf(“%d”, k);
}

1 Mark(s)

5

Junk value

0

Error

What is the return-type of the function sqrt()

What is the return-type of the function sqrt()

1 Mark(s)

int

float

double

depends on the data type of the parameter

The value obtained in the function is given back to main by using ________ keyword?

The value obtained in the function is given back to main by using ________ keyword?

1 Mark(s)

return

static

new

volatile

How many times the program will print “SimpleWay2Code” ?
#include<stdio.h>

int main()
{
printf(“SimpleWay2Code”);
main();
return 0;
}

How many times the program will print “SimpleWay2Code” ?
#include<stdio.h>

int main()
{
printf(“SimpleWay2Code”);
main();
return 0;
}

1 Mark(s)

Infinite times

32767 times

65535 times

Till stack overflows

What is the output of this C code?

#include <stdio.h>
void main()
{
static int x = 3;
x++;
if (x <= 5)
{
printf(“hello”);
main();
}
}

What is the output of this C code?

#include <stdio.h>
void main()
{
static int x = 3;
x++;
if (x <= 5)
{
printf(“hello”);
main();
}
}

1 Mark(s)

Run time error

hello

Infinite hello

hello hello

What is the output of this code having void return-type function?

#include <stdio.h>
void foo()
{
return 1;
}
void main()
{
int x = 0;
x = foo();
printf(“%d”, x);
}

What is the output of this code having void return-type function?

#include <stdio.h>
void foo()
{
return 1;
}
void main()
{
int x = 0;
x = foo();
printf(“%d”, x);
}