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1.

Let a, b, c, be in A.P. with a common difference d.Then $e^{1/c}, e^{b/ac},e^{1/a}$ are in :

A) GP. with common ratio $e^{d}$

B) GP. with common ratio $e^{1/d}$

C) GP. with common ratio $e^{d/(b^{2}-d^{2})}$

D) A.P

2.

The value of the integral $\int_{-1}^{3}(|x|+|x-1|)dx$ is

A) 4

B) 9

C) 2

D) 9/2

3.

The value of x in the interval [4,9] at which the function f(x) = √x satisfies the mean value theorem is

A) 13/4

B) 17/4

C) 21/4

D) 25/4

4.

Let f: R→ R, g : R→ R be two functions such that f(x) = 2x - 3, g(x) = x3 + 5. The function (fog)-1(x) is equal to

A) $\left(\frac{x+7}{2}\right)^{1/3}$

B) $\left(x-\frac{7}{2}\right)^{1/3}$

C) $\left(\frac{x-2}{7}\right)^{1/3}$

D) $\left(\frac{x-7}{2}\right)^{1/3}$

5.

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) $\frac{1}{6}$

B) $\frac{1}{3}$

C) $\frac{2}{3}$

D) $\frac{1}{2}$

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