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1. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
2. The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
3. Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
4. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
5. The average height of 50 pupils in a class is 150 cm. Five of them whose height is 146 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is __________ .
6. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
7. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
8. If x % of 80 = 20% of y, then x = ? and y = ?
9. Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?
10. The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
11. 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?
12. [3/7 of {21 * (33.33% of (27 + 3) ÷ 5) - 7} - 8] = ?
13. 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.
14. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
15. A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
16. Find the one which does not belong to that group ?
17. The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
18. A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
19. 25 2/5 + 8 4/5 + 4/5 = ?
20. Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
21. The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
22. The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
23. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
24. In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
25. A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
26. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
27. 25% of 30% of 45% is equal to?
28. P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
29. 45% of 750 - 25% of 480 = ?
30. Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
31. In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
32. If x = 3 - √7, then find the value of x + 1/x.
33. 80 is what percent of 64?
34. A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
35. A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
36. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
37. 26.98% of 6002 + 45.01% of 4199 = ?
38. The smallest ratio out of 1:1, 2:1, 1:3 and 3:1 is?
39. A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
40. The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
41. The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
42. 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?
43. Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
44. A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
45. What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
46. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?
47. the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
48. X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
49. A heap of coconuts is divided into groups of 2, 3 and 5 and each time one coconut is left over. The least number of Coconuts in the heap is?
50. The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?