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1. The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
2. In how many years will a sum of money doubles itself at 5% per annum on simple interest?
3. Find the roots of the quadratic equation: 2x^{2} + 3x - 9 = 0?
4. How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
5. A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
6. A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
7. A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
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8. The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
9. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
10. If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
11. 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:
12. The ratio of 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?
13. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm^{2}) is?
14. (84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓
15. What is the probability that a leap year has 53 Sundays and 52 Mondays?
16. 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
17. A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
18. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
19. If 12 men do a work in 80 days, in how many days will 16 men do it?
20. 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?
21. 106 * 106 - 94 * 94 = ?
22. A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
23. An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
24. A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?
25. A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
26. If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
27. A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
28. A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
29. 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:
30. In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
31. A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
32. A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder?
33. A single discount equivalent to the discount series of 20%, 10% and 5% is?
34. If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?
35. Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
36. In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
37. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
38. 5 * 5 ÷ 5 + 5 ÷ 5 = ?
39. A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
40. The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together 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. A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
43. 3/20 is what percent of 12/25?
44. The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
45. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
46. A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
47. The base of a right triangle is 8 and hypotenuse is 10. Its area is?
48. √3584 * 52.034 = ?
49. A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
50. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?