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1. Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
2. 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?
3. Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
4. 60% of a number is added to 120, the result is the same number. Find the number?
5. In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?
6. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is:
7. 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?
8. If 70% of an equal to 40% of b, then ratio between a and b is?
9. A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
10. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
11. What is the sum of all even numbers from 1 to 701?
12. The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
13. The mean proportional between 4 and 9 is?
14. 32% of 425 - ?% of 250 = 36
15. 3/20 is what percent of 12/25?
16. I. a^{2} - 2a - 8 = 0, II. b^{2} = 9 to solve both the equations to find the values of a and b?
17. (9^{-7} / 27^{-3})^{4/5} = ?
18. Which one of the following is the least number of four digits divisible by 71?
19. Find the number of factors of 300 excluding 1 and itself.
20. If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
21. If the area of circle is 616 sq cm then its circumference?
22. 105.126 * 35.201 - 90.23 * 3 + 55.11 * 27.01 = ?
23. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
24. 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?
25. A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
26. A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
27. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
28. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
29. There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
30. A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
31. A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
32. The area of a base of a cone is 30 cm^{2}. If the height of the cone is 6cm, find its volume?
33. The sum of three consecutive integers is 102. Find the lowest of the three?
34. The product of two digits number is 2160 and their HCF is 12. The numbers are:
35. An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
36. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
37. Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
38. Find the least number by which (5^{9})(3^{6})(17) has to be multiplied to obtain a perfect square?
39. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
40. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
41. 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 -.
42. 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 __________ .
43. P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?
44. The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
45. 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?
46. Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
47. (50 - ?/29)% of 4200 = 3√196
48. Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?
49. A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
50. A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?