Time Left: 00:50:00
1. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
2. A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
3. The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
4. A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
5. Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
6. A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
7. If 15% of 30% of 50% of a number is 90, then what is the number?
8. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
9. 3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work?
10. I. x^{2} + 9x + 20 = 0, II. y^{2} + 5y + 6 = 0 to solve both the equations to find the values of x and y?
11. 108 * 107 * 96 = ? (to the nearest hundred)
12. The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
13. The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is:
14. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
15. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
16. 25% of ? + 36% of 1225 = 816
17. [50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
18. How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
19. 7394 - 1236 - 4652 = ?
20. Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
21. A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
22. The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
23. What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
24. A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
25. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:
26. How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
27. In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
28. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
29. I. 9a^{2} + 18a + 5 = 0, II. 2b^{2} + 13b + 20 = 0 to solve both the equations to find the values of a and b?
30. If the roots of a quadratic equation are 20 and -7, then find the equation?
31. 85% of a number is added to 24, the result is the same number. Find the number?
32. Sum of the digits number is 8 and their product is 12. Find the difference between the digits?
33. The area of a base of a cone is 30 cm^{2}. If the height of the cone is 6cm, find its volume?
34. 20% of 40 + ? % of 80 = 120
35. Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
36. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
37. Find the one which does not belong to that group ?
38. Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
39. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
40. How many three letter words are formed using the letters of the word TIME?
41. The difference between a number and its two-fifth is 510. What is 10% of that number?
42. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
43. The edges of a cuboid are respectively 3cm, 4cm and 12 cm. Find the length of the diagonal of cuboid.
44. A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
45. 64309 - 8703 + 798 - 437 = ?
46. A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
47. The radius of a semi circle is 6.3 cm then its perimeter is?
48. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
49. By how much is 3/5th of 875 greater than 2/3 of 333?
50. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.