**Question 1:**

The sum of three consecutive terms in a geometric progression is 14. If 1 is added to the first and the second terms and 1 is subtracted from the third, the resulting new terms are in arithmetic progression. Then the lowest of the original term is

(A) 1

(B) 2

(C) 4

(D) 8

**Question 2:**

In the polynomial ( x – 1)( x – 2)( x – 3)...........( x – 100) the coefficient of x99 is

(A) 5050

(B) – 5050

(C) 100

(D) 99

**Question 3:**

India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points, is:

(A) 0.8750

(B) 0.0875

(C) 0.0625

(D) 0.0250

**Question 4:**

An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shufﬂed pack of eleven cards numbered 2, 3, 4,.......,12 is picked and the number on the card is noted. The probability that the noted number is either 7 or 8, is

(A) 0.24

(B) 0.244

(C) 0.024

(D) None of these

**Question 5:**

There exists a function f(x) satisfying f(0) = f(1), f’(0)= - 1 , f(x)>0 for all x ,and

(A) f’’(x)>0 for all x

(B) - 1 < f’’(x)<0 for all x

(C) - 2 < f’’(x)≤-1 for all x

(D) f’’(x) <-2 for all x

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