1 A college has to finance its new project by way of donations. It gets 75% of the money required by collecting Rs. 600 each from 60% of the population they expect to donate the money. What will be the per head contribution that will be required from the remaining people ?a.300b.250c.350d.None

2 Three friends returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took 1/3 of the mints, but returned four because she had a momentary pang of guilt. Fatima then took 1/4 of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl ?a.38b.31c.41d.None

3 In a number system the product of 44 and 11 is 1034. The number 3111 of this system, when converted to the decimal number system, becomes :a.406b.1086c.213d.691

4 Find the remainder when the number 7777777(101 digits) is divided by 440?a.377b.337c.227d.277

5 Find the number of distinct rectangles having integral sides that are possible such that their perimeter is an integer less than 100 cm.a.512b.600c.625d.546

6 The average speed of Howarh express inclusive of various halts at stations is 60kmph. However, if we do not take the time of halts into consideration the speed of Howrah express works out to be 72kmph. What is the average time per hour of journey?a.one-third of an hourb.one-fourth of an hourc.one-sixth of an hourd.one-fifth of an hour

7 Which of the following numbers, wherein some digits have been omitted, can possibly be the square of a three digit odd number?a.65XXX1b.9XX1c.10XXX4d.9XXXXXX5

8 Find the maximum possible value for the product xy, where x is given by the solution to the euation |x+3|=4 and y is given by y=7-|x-2|a.7b.-49c.6d.14

9 A year ago the cost of Maruti and Indica were in the ratio 3:4 . The ratio of the costs a year ago to the present costs for Maruti and Indica are 4:5 and 2:3 respectively. If the Sum of their present Costs is Rs3.9 lacs , Find the cost of Indica a year ago(in Rs Lacs).a.6b.4c.7d.3

10 Walking at three- fourths his usual pace a man reaches his workplace 20 mins late on a particular day. The next day, he walked at four-thirds his usual pace. How early would he be to the office when compared to the previous day?a.12 minb.45 minc.15 mind.35 min

11 Anil thought of a 4-digit number. He multiplied it by 12. He added 39 to it. He subtracted 36 dozones from that number and he multiplied the resultant number with 24. the number that he got was 25X2536. he cant see digit X because the calculator was malfunctioning. What is digit X from among the choices given?a.2b.4c.6d.8

12 Find the number of integral solution to |A| + |B| + |C| = 15.a.902b.864c.866d.904

13 Consider the non-decreasing sequence of positive integers 1,2, 2, 3,3,3,4,4,4,4,5,5,5,5,5. In which nth positive number appears n times. Find the reminder when the 2000th term is divisible by5.a.1b.2c.3d.4

14 A man had three daughters, who celebrated their birthday on the same day, but were born in 1977, 1978 & 1979 respectively. On one such birthday, if the product of their ages were divided by their respective ages in turn, the sum of quotients would have been 74. The age of the oldest daughter isa.6yearsb.7yearsc.8yearsd.none

15 The sides of a right angle triangle have lengths, which are integers in arithmetic progressions. In which of the following smallest side of a triangle does there exist such a triangle?a.2000b.2001c.2002d.2003

16 Answer the questions based on the following informations A,B,C,D are four item who are being weighed one after the other in the same order. Each time when a item is weighed the avg. weights till then is recalculated. It is found the average weights so calculated were in A.P with common difference of 2kg. . The minimum weight of D if the weights of A,B,C and D are natural numbers isa.13b.7c.9d.28

17 what is the average weight of A,B,C,D if the weight of A is 4kg?a.7b.10c.28d.None

18 There is an alloy (A) of silver and copper. A certain weight of this alloy is mixed with 15 kg of pure silver and melted. The new alloy (B) contains 90% of silver. If the alloy (A) is mixed with 10kg of a 90% silver alloy, the new alloy(C) is found to contain 84% silver. Find the percentage of silver in (A)a.80%b.90%c.70%d.64%

19 A big cube is cut into 64 equal cubes. If 6 liters of paint was used to paint the big cube , how many more liters will you need for smaller cubes to be painted on all sides.a.24b.23c.30d.18

20 How many factors of 1296 will have total number of factors exactly equal to 3?a.1b.2c.3d.4

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