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1 How many 6-digit numbers exist which have exactly 2 zeros and at least 2 ones?a.Rs.4,860b.Rs.4,170c.Rs.3,530d.Rs.3,840

2 A certain physicist walks up an escalator that is going up at the rate of one step per second. Twenty steps bring him to the top. When, he goes up at two steps per second, he reaches the top on climbing 32 steps. How many steps are there in the escalatora.80b.96c.72d.64

3 A man has nine friends, four boys and five girls. In how many ways can he invite them, if there have to be exactly three girls in the invites ?a.320b.160c.80d.200

4 A solid wooden toy is in the shape of aright-circular cone mounted on base of a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm. find the volume of the wooden toy.a. 104 cm3b. 162 cm3c. 427 cm3d. 266 cm3

5 ection for question 15 & 16 Two lights start blinking together . Light A blinks afterevery 4 seconds for the first 3 minutes. For the next 6 minutes it blinks after every 6 seconds and for rest of the time it blinks after every 8 seconds. Light B blinks after every 3 seconds for the first 3 minutes , for the next 6 minutes it blinks after every 6 seconds and for the rest of the time it blinks after every 12 seconds. 15.How many times will they blink together in the first 13 minutes?a. 84b. 86c. 85d. 90

6 In first 5 minutes they will blink together for :a. 35b. 34c. 36d. 37

7 A certain manufacturer has three machines producing the same item. If Machine X produces 1/4 as many items as Machine Y produces in the same time, the Machine Y produces twice as many items as Machine Z in the same time, then during a fixed period Machine Z produces what fraction of the total number of items produced?a.1/14b.2/7c.1/3d.1/2

8 A chess board is a system of 9 vertical and 9 horizontal lines that gives us 64 houses on the board : 32 white and 32 black . How many white houses are there on aches boards that are touched by exactly 5 other houses?a.28b.24c.14d.12

9 Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2. The third number isa.10b.14c.16d.12

10 There are two vessels of milk of different prices with the volumes of 220L and 180L . Equal amounts of milk were poured off simultaneously from the two vessels and the milk poured off from the first vessel was poured into the second vessel and the milk poured off from the second vessel was poured into the first vessel. Then the price of milk in both vessels become the same. How much milk was poured from one vessel into the other?a. 120Lb. 60Lc. 90Ld. 99L

11 if - 2 = x = 7 and - 4 = y = 9, then which of the following is true?a. 20 = (x2 + y2) = 130b. 4 = (4x-3y) = 40c. - 81 = (x2 - y2) = 49d. -4/5

12 ection for question number 22 & 23 A = { 1, 2 , 3 , 5 , 6, 10 , 15, 30 } For a, b ? A , the operators Prima and Fima are defined as Prima (a, b) = LCM (a, b) Fima (a, b) = GCD (a, b) 22. Prima (Prima (5,6), Fima (6,15))=?a. 1b. 15c. 6d. 30

13 If Prima(a, b) is maximum and Fima (a , b) is minimum for some pair (a , b ), then which of the following statements is true ?a. Either a = 30 or b = 30b. Either a =1 or b = 1c. Prima (a , b) * Fima ( a, b)= 30d. a = b

14 if a, b, c are all positive real numbers then what is the minimum value of {(b + c)2 /3bc } + {(c + a)2 / 3ac } + { (a + b)2 /3ab }= ?a. 1b. 3c. 4d. 6

15 How many ordered pairs (a, b) of positive integers exist such that |3a - 2b | = 1 ?a. 1b. 2c. 3d. infinite

16 142561425614256. . . (n times ) is definitely divisible bya. 11 onlyb. 9 onlyc. both 11 & 9d. None

17 A quadrilateral is inscribed in a circle. If an angle is inscribed in each of the segments outside the quadrilateral, then what is the sum of the four angles? (in degrees)a. 270b. 360c. 540d. 720

18 28 and 29 N = 1234567891011121314. . . .9989991000 28. Find the remainder, when the first thousand digits of N (form the left) is divided by 16 .a. 7b. 11c. 13d. 15

19 Find the remainder when N is divided by 9.a. 8b. 7c. 1d. 0

20 Which of the following statements is not correct about 19n+1?a.It is never divisible by 19b.when n is odd it is divisible by 21c.when n is even it is not divisible by 21d.none

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