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1 Tulasinath has one coin each of the following denominations : 1 np, 2 np , 3 np , 5 np , 10 np , 20 np , 50 np , one rupee and two rupees. How many different amounts can he make by taking one or more of these coins at a time ?a. 335b. 345c. 511d. None of these

2 A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what would be the average donation from the remaining people to be solicited ?a. Rs. 300b. Rs. 250c. Rs.400d. Rs.500

3 A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible?a.3b.4c.5d. 6

4 If x > 5 and y < -1 , then which of the following statements is true ?a. (x + 4y) > 1b. x > -4yc. -4x < 5yd. None of these

5 If Sn = 27 – 72 + 29 –69 + 31 –66 + 33 – 63 . . . up to n terms , then find p, given Sp = 0.a. 19b. 20c. 37d. 38

6 Twenty straight lines were drawn on a white paper. Among them, no two or more straight lines are parallel ; also no three or more than three straight lines are concurrent. What is the maximum number of intersections that these 20lines can form?a. 150b. 188c. 190d. cant be determined

7 If the sum of the first 10 terms and the sum of the first 100 terms of a given arithmetic progression are 100 and 10 respectively. Then the sum of the first 100 term isa.90b.-90c.110d. -110

8 What values of x satisfy x2/3 + x1/3 – 2 ? 0?a. -8 ? x ? 1b. -1 ? x ? 8c. 1 ? x ? 8d. None

9 A rectangular parking lot is 80 m by 50 m. How much less, in square meters, is its area than that of a square parking lot with the same perimeter?a. 5.3 %b. 6.3%c. 5.6%d. 6.6%

10 If n is a natural number , find the remainder when 999 . . . . . . 9, upto (2n+1) digits , is divided by 550.a. 549b. 449c. 499d. 399

11 a, b and c are three natural numbers. Given that HCF of a and b is 9 and that of b and c is 12. If the LCM of a and c is 216 , what is the LCM of a and b ?a. 108b. 144c. 432d. Cannot be determined

12 623 - 543 - 83 is divisible bya. 9 and 13b. 17 and 23c. 13 and 23d. 9 and 31

13 One circle has a radius of 5 and its center at (0,5). A second circle has a radius of 12 and its center (12,0) . what is the length of a radius of a third circle which passes through the center of the second circle and both points of intersection of the first 2 circles ?a. 13b. 16c. 13/2d. 7

14 The shortest median of a right-angled triangle ABC is 25 units. If the area of the triangle ABC is 336 sq.units , what is the length of the longest median?a. ?772b. ?821c. ?2353d. ?2929

15 M is the number of sets containing odd number of consecutive positive integers whose sum is 2002. n is the number of sets containing even number of consecutive positive integers whose sum is 2002. thena. m > n> 3b. m = n = 3c. m = n = 4d. None of these

16 A man is traveling from A to B. He covered one-third of the distance at 15kmph and the remaining distance at 20kmph. At what uniform speed should he travel such that he would now be able to go from A to B and return back to A in the same time that he previously took to travel from A to B ?a. 36kmphb. 48kmphc. 60kmphd. 45kmph

17 A three digit number is formed using the number 1 to 5 (repetition is allowed). What is the sum of digits of all such numbers formed?a. 69375b. 41625c. 1125d. 540

18 Two distinct numbers are randomly chosen from the set A = { -5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 ,3 , 4, 5} what is the probability that the sum of these two numbers is lesser than their product ?a. 35/55b. 21/55c. 16/55d. None of these

19 In a trapezium , a line parallel side is drawn that passes through the point of intersection of the diagonals , if it meets the other two sides in X and Y , thena.Length of XY is the arithmetic mean of the lengths of the parallel sides.b.Length of XY is the geometric mean of the lengths of the parallel sides.c.Length of XY is the harmonic mean of the lengths of the parallel sides.d. None of these

20 Instead of working along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side isa. 1/2b. 2/3c. 1/4d. 3/4

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