x) is

1. xφ(y/x) = k

2. φ(y/x) = kx

3. yφ(y/x) = k

4. φ(y/x) = ky

View Answer

Correct Answer :

φ(y/x) = kx

Explanation :
No Explanation available for this question

If y = y(x) is the solution of the differential equation (2+sin x) / (y+1) (dy/dx) + cos x = 0 with y(0) =1 , then y(π/2) =

1. 1/3

2. 2/3

3. 1

4. 4/3

View Answer

Correct Answer :

1/3

Explanation :
No Explanation available for this question

If f : [2 , ∞) ----> B defined by f(x) = x2 -4x +5 is a bijection then B =

1. [0 , ∞)

2. [1 , ∞)

3. [4 , ∞)

4. [5 , ∞)

View Answer

Correct Answer :

[1 , ∞)

Explanation :
No Explanation available for this question

If f: IR -----> IR is defined by f(x) = [x/5] for x Є IR , where [y] denotes the greatest integer not exceeding y, then { f(x) : |x| < 71 }

1. { -14 , -13...........................,0,..................13,14 }

2. { -14 , -13...........................,0,..................14 , 15 }

3. {-15, -14 ...........................,0,..................14 , 15

4. {-15,-14,................0................,13 , 14}

View Answer

Correct Answer :

{-15,-14,................0................,13 , 14}

Explanation :
No Explanation available for this question

If a,b and n are natural numbers then a2n-1 + b2n-1 is divisible by:

1. a+b

2. a-b

3. a3 + b3

4. a2 + b2

View Answer

Correct Answer :

a+b

Explanation :
No Explanation available for this question

A bag contains n white and n black balls. Pairs of balls are drawn at random without replacement successively , until the bag is empty , if the number of ways in which each pair consists of one white and one black ball is 14,400

1. 6

2. 5

3. 4

4. 3

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

The number of five digit numbers divisible by 5 that can be formed using the numbers 0,1,2,3,4,5 without repetition is

1. 240

2. 216

3. 120

4. 96

View Answer

Correct Answer :

216

Explanation :
No Explanation available for this question

15P8 = A + 8 . 14P7 ==> A =

1. 14P6

2. 14P8

3. 15P7

4. 16P9

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

If (n-1)C3 + (n-1)C4 > nC3 , then the minimum value of n is

1. 5

2. 6

3. 7

4. 8

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

If the coefficient of rth and (r+1)th terms in the expansion of (3+7x)29 are equal, then r =

1. 14

2. 15

3. 18

4. 21

View Answer

Correct Answer :

Explanation :
No Explanation available for this question

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