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1 In how many five digits odd numbers are zeros used?a.271b.12195c.2439d.4500

2 How many positive integers does V satisfy both the following condition? (I) V<=300 and (ii) 6 is a factor of V2+3V+2a.100b. 200c.175d.150

3 The first term of a certain decreasing GP is 1 and the sum of infinite number of the terms of GP is V. what would be the sum of infinite terms of the GP, which is formed by the squares of the terms of the initial progression?a.V2b.1/(1-V2)c.V2/(1-2V)d.V2/(2V-1)

4 How many pairs of two distinct natural numbers are there whose LCM is 24?a. 11b.10c. 9d. 8

5 If the sum of all the positive even integers less than 2000 is V, what is the sum of all positive odd integers less than 2000?a.V+1000b.V-1000c.V+999d.V+1

6 During an election 70% of the people who polled said that they would vote for Mr. X Of those who said that, only 60% actually voted for X. Out of those who did not say they would vote for Mr. X, 70% actually voted for X. What percent of those who polled did vote for X?a.66%b.42%c.74%d.cant be determined

7 The sum of the internal angles of an n-sided convex polygon An + B, where A and B are constants. What is the value A/ B?a.-2b.-1/2c. 2d. 1/2

8 If p, q, r and s are positive unequal integers, such that p + q+ r+ s= 15, what is the maximum value of (p-q)/(r +s)?a.3b.12/7c.13/2d.2

9 A cow can gaze a field in one day whereas a sheep can gaze the same field in two days. If the cow and the sheep together graze the field, in how much time will the field be cleared?a.Half a dayb.1/3rd of a dayc.2/3rd of a dayd.3/4th of a day

10 a, b, c and d are real numbers and a+ b > c + d and a- b > c- d . Then which of the following statement is definitely true?a. b < db.b > dc. a > cd. a < c

11 If the diameter of the spherical speed of a lichee is twice the thickness of the pulp, which is formed uniformly around the seed, what percent of the total volume of the lichee is the pulp?a. 12.5b. 33.3c. 87.5d. 66.66

12 A and B start together from the same point on a circular course and walk in the same direction till they meet again at the starting point. If A completes a circle in 224 seconds and B in 364 second, how many times does A meet B (including the last meeting) after they start?a.10b.8c.6d.5

13 Find the sum of the series 1.2+2.3+3.4+4.5+. . . . up to 12 termsa.952b.1092c.1148d.728

14 If (2k+15), (3k-14) and (4k-3) are the lengths of the sides of a triangle, which of the following is the minimum value of k?a.K>= 4b.k<=4.7c.K>=6.4d.k>6.4

15 A and B have 22 items in all. They sell their items at different prices, but each receives the same amount. Had a sold at B's price and B at A's price, their respective incomes would have been Rs150 and Rs216. How many items did A have?a.12b.10c.8d.6

16 What is the least value of (x-1)(x-3)(x-4)(x-6)+10, for real vale of x?a.1b.10c.9d.0

17 A cylinder of maximum volume is inserted in a right circular cone of vertical angle equal to 90 degree. If the height of the cone is 10cm and the radius of the cylinder is 6.66 cm, find the volume of the cone.a.100p/3 ccb.500p/3 ccc.1000p/3 ccd.cannot be determined

18 If x, y and z are integers and x+y+z=3, then what is the minimum value of 1/x+1y+1/z?a.-3b.-1.08c. 3d.0

19 Two parsons start simultaneously from the same place and walk in opposite directions with speeds of 5kmph and 7kmph. After walking for 10hours, they turn back and walk towards the starting point with their speeds reversed for another 5 hours. What is the distance separating them now?a.0kmb.50kmc.60kmd.100km

20 How many numbers less than or equal to 500 are there which are the products of more than three distinct prime numbers?a.8b.6c.4d.None

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