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1. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
2. X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
3. An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
4. Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is:
5. Find the number which multiplied by 15 is increased by 196.
6. A rectangular courtyard, the sides of which are in the ratio of 4:3, cost Rs.600 for paving at 50 p per m^{2}; find the length of the diagonal of the courtyard?
7. Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
8. A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
9. A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
10. Rs.590 is divided amongst A, B, C so that 5 times A's share, six times B's share and eight times C's share are all equal. Find C's share?
11. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
12. The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
13. Find the one which does not belong to that group ?
14. 12 3/4 * (1 2/17 / 8 1/6) / 5 4/3 = ?
15. A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
16. (12)^{3} * 6^{4} / 432 = ?
17. If a + b + c = 0 and abc ≠ 0, then [X^{a3 / abc}][X^{b3 / abc}][X^{c3 / abc}] equals
18. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
19. A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
20. A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
21. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum?
22. If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
23. 3/7 of 4/9 of 2/5 of 7560 = (?)^{2}
24. 40 is subtracted from 60% of a number, the result is 50. Find the number?
25. The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
26. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
27. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
28. If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
29. A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
30. A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
31. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
32. There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?
33. (800 / 64) * (1296 / 36) = ?
34. By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
35. A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is?
36. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
37. A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
38. The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?
39. Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
40. A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
41. A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
42. If 20% of a number, then 120% of that number will be?
43. If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
44. 2^{42} + 4^{20} + 16^{11} + 64^{7} equals
45. 666 / 6 / 3 = ?
46. 9 3/4 + 7 2/17 - 9 1/15 = ?
47. A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
48. Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
49. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
50. Find the smallest four-digit number which is a multiple of 112.