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1 Fifteen coupons are numbered 1 ,2 ,3 …..15 respcetively . Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9 isa. (9/16)6b.(8/15)7c.(3/5)5d. None

2 If x , y , z are in GP and x+3 , y+3 , z+3 are in HP , thena. y=2b. y=3c. y=1d. y=0

3 The largest number of acute angles that a convex hexagon can have , isa.3b. 2c. 4d. 5

4 I flip a one rupee and a two rupee coin “ At least one of the coins came up head” , I announce. What is the probability that both coins came up head ?a. 1b. 1/2c. 1/3d. None

5 The value of 1.2 +2.3 +3.4 + . . . +99.100 equalsa. 333000b. 333300c. 30330d. 33300

6 If p > 5 , q < -2 , which of the following is necessarily true ?a. pq > -10b. –p < 2qc. pq < -10d. –p > 2q

7 Five-digit numbers are formed using only 0 , 1 , 2 , 3 , 4 exactly once. What is the difference between the maximum and minimum number that can be formed ?a. 19800b. 41976c. 32976d. None

8 A, B, C and D are to be seated in a row. But C and D cannot be together. Also B cannot be at the third place. Which of the following must be false?a. A is at the first placeb. A is at the second placec. A is at the third placed. A is at the fourth place

9 IF A is not at the third place, then which of the following options does C have?a.The First place onlyb.The third place onlyc.The First and Third place onlyd.Any of the places

10 If A and B are together, then which of the following must be necessarily true?a. C is not at the first placeb. A is at the third placec. D is at the first placed. C is at the first place

11 If n is a perfect square, then the next perfect square greater than n isa. n2 + 1b. n2 – nc. 2n +1d. n + 2?n + 1

12 ger chase a deer which is 30 of its own leaps ahead of the tiger. When the tiger takes 3 leaps the deer takes 4. In one leap the tiger goes 23/4 meters and the deer goes 13/4 meters. In how many leaps will the tiger overtake the deer?a. 36 leapsb. 126 leapsc. 70 leapsd. None

13 If a, b and c are integers with 0 < a < b < c and 1/a + 1/b + 1/c = 1 , the value of c isa. 6b. 8c. 4d. 2

14 A stairway 10ft. high is such that each step accounts for a half ft. upward and one ft. forward motion. What distance does an ant travel if it starts from ground level to reach the top of the stairway ?a. 33ftb. 5 ftc. 10ftd. 29ft

15 Three wheels can complete 60, 36 and 24 revolutions per minute. There is a red spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again?a. 5/2sb. 5/3sc. 6sd. 7.5s

16 A certain number, when divided by 899, leaves a remainder 53. Find the remainder when the same number is divided by 29.a. 5b. 4c. 1d. cannot be determined

17 Find the time between 4 p.m and 5 p.m when both the hands of the clock coincide.a. 16 4/11 minute past 3 o’ clockb. 21 9/11 minute past 4 o’ clockc. 20 minute past 4 o’ clockd. 22 9/11 minute past 4 o’ clock

18 G = ax + by + cz 0 ? a ? 1 , 1 ? b ? 2 , 2 ? c ? 3 , 0 ? x , y , z ? 1 If a + b + c = 3 , the maximum value of G is:a.can’t be determinedb. 3c. 2d. 3

19 If x + y + z = 1 , the maximum value of G is :a. can’t be determinedb. 3c. 2d. 1.75

20 In a number system the product of 44 and 11 is 3414. the number 3111 of this system, when converted to the decimal number system , becomesa.406b.1086c. 213d.691

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