If y = 1/ a − z , then dz/ dy is

**A. ** (a − z)^{2}

**B. ** −( z − a)^{2}

**C. ** (z + a)^{2}

**D. ** − ( z + a)^{2}

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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If *pv*
= 81, then *dp/dv* at *v* = 9 is

**A. ** 1

**B. ** - 1

**C. ** 2

**D. ** -2

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is

**A. ** 3/4

**B. ** 10/23

**C. ** 1/2

**D. ** 10/21

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

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If A and B are two events such that A ⊂ B and P (B) ≠0, then which of the following is correct?

**A. ** P ( A / B) = P ( A) / P ( B)

**B. ** P ( A / B ) < P( A)

**C. ** P ( A / B ) ≥ P( A)

**D. ** P ( A / B ) > P(B)

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

No Explaination.

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It is given that the events A and B are such that P( A) = 1/4 , P ( A / B) = 1/2 and P ( B / A) = 2/3 . Then P(B) is

**A. ** 1/6

**B. ** 1/3

**C. ** 2/3

**D. ** 1/2

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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is

**A. ** √tan *x*
+ c

**B. ** 2√tan *x* + c

**C. ** ½ √tan *x* + c

**D. ** ¼ √tan *x* + c

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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is

**A. ** √[1-*x*^{2}]
+ sin^{−1} *x* + c

**B. ** sin^{−1 }*x* −√[1-*x*^{2}]
+ c

**C. ** log | *x*
+ √[1-*x*^{2}]
| − √[1-*x*^{2}]
+ c

**D. ** √[1-*x*^{2}]
+ log | *x* + √[1-*x*^{2}]
| +c

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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No Explaination.

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Let the function *f* be defined by *f* (*x*)= , then

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

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At x = 3/2 the function f ( x) = | 2x -3 | / 2x
-3 is

**A. ** continuous

**B. ** discontinuous

**C. ** differentiable

**D. ** non-zero

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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