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1. Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
2. At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
3. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
4. Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
5. Find the H.C.F of 12, 16, 18 and 24?
6. Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
7. A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
8. If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
9. A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
10. If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
11. What is the least number to be subtracted from 696 to make it a perfect square?
12. Find the least number by which (5^{9})(3^{6})(17) has to be multiplied to obtain a perfect square?
13. A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was:
14. I. x^{2} + 5x + 6 = 0, II. y^{2} + 9y +14 = 0 to solve both the equations to find the values of x and y?
15. The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
16. The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
17. The difference between a number and its two-fifth is 510. What is 10% of that number?
18. The number which exceeds 16% of it by 42 is?
19. In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
20. 21345 * 45 = 4270 * ?
21. A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
22. A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
23. Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
24. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
25. Find the one which does not belong to that group ?
26. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
27. If six persons sit in a row, then the probability that three particular persons are always together is -.
28. What percent of 125 is 16?
29. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
30. A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
31. A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
32. A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
33. The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
34. The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
35.
LCM of 18 and 27 is:
36. What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?
37. The average of first 10 even numbers is?
38. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
39. The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages?
40. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
41. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
42. A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
43. What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
44. A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
45. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:
46. How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?
47. (332% of 2113) / 42 = ?
48. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
49. Simplify : 1 - {1 + (a^{2} - 1)^{-1}}^{-1}
50. In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?