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1. A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
2. 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?
3. A can finish a work in 18 days B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
4. Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
5. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
6. A and B can do a work in 12 days and 36 days respectively. If they work on alternate days beginning with B, in how many days will the work be completed?
7. 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?
8. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
9. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is:
10. 64309 - 8703 + 798 - 437 = ?
11. The average of 1^{st} 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
12. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
13. Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
14. Which of the following groups of fractions is in descending order?
15. A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
16. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
17. Find the one which does not belong to that group ?
18. If x = √196 + √200, then x/2 + 2/x is?
19. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
20. 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
21. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
22. 7589 - ? = 3434
23. 3648.24 + 364.824 / ? - 36.4824 = 3794.1696
24. If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?
25. In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
26. 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?
27. Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
28. A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?
29. Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
30. I. a^{2} - 7a + 12 = 0, II. b^{2} - 3b + 2 = 0 to solve both the equations to find the values of a and b?
31. 16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
32. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
33. A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
34. Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
35. A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
36. 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?
37. The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
38. The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
39. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
40. Find the one which does not belong to that group ?
41. 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?
42. The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
43. Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
44.
Least perfect square number, exactly divisible by 21, 36 and 56 is?
45. Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
46. If 15% of 30% of 50% of a number is 90, then what is the number?
47. The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers?
48. A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
49. A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
50. Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?