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1. If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
2. In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years?
3. In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?
4. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
5. 3648.24 + 364.824 / ? - 36.4824 = 3794.1696
6. [3/7 of {21 * (33.33% of (27 + 3) ÷ 5) - 7} - 8] = ?
7. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
8. Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
9. 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?
10. Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
11. 1/3 of 2/6 of 1/7 of 2/28 of 2140 = ?
12. The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
13. (3^{a+1} 9^{a+2} 27^{a}) / (3^{a-1} 9^{a} 27^{a+1}) = ?
14. The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
15. One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
16. If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
17. What is the sum of all the composite numbers up to 20?
18. The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is -.
19. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
20. Find the one which does not belong to that group ?
21. By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
22. Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
23. A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the invest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest?
24. A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
25. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
26. How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
27. A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
28. Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?
29. Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
30. 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?
31. Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
32. Varma can read a book in k minutes. What part of the book can he read in 8 minutes?(k>8)
33. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
34. The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?
35. Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
36. There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
37. Find the roots of quadratic equation: 2x^{2} + 5x + 2 = 0?
38. A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
39. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
40. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
41. The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
42. Find the one which does not belong to that group ?
43. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
44. The number which exceeds 16% of it by 42 is?
45. The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
46. (84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓
47. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
48. The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
49. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
50. Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?