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1. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is:
2. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
3. A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
4. 2 1/3 + 4 1/6 - 2 2/3 - 1 1/2 = 2 ?/3
5. Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.
6. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
7. 4500 * ? = 3375
8. What is the sum of all the prime numbers from 20 to 40?
9. A man buys milk at a certain rate per liter and after adding water to it sells the mixture at the same rate. Find in what ration he much mix water to milk so as to gain 20% on his outlay?
10. A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
11. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
12. Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
13. Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
14. A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
15. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
16. Find the one which does not belong to that group ?
17. The sum of three consecutive even numbers is 42. Find the middle number of the three?
18. Rs.525 among A, B and C such that B may get 2/3 of A and C together get. Find the share of C?
19. The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
20. Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
21. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
22. I. x^{2} + 9x + 20 = 0, II. y^{2} + 5y + 6 = 0 to solve both the equations to find the values of x and y?
23. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
24. The difference between a number and its three-fifth is 50. What is the number?
25. Find the one which does not belong to that group ?
26. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
27. How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
28. [10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = ?
29. The base of a right triangle is 8 and hypotenuse is 10. Its area is?
30. (27^{2}/4^{-3})^{-5/6} = ?
31. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
32. What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
33. Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is:
34. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
35. The least square number which divides 8, 12 and 18 is?
36. A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
37. Find the number of factors of 300 excluding 1 and itself.
38. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
39. A batsman in his 17^{th} innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17^{th}innings?
40. 30.9 * 3000 - 10.1 * 1100 + 8298 - 4302 = ?
41. In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?
42. 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?
43. The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).
44. The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
45. The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
46. 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
47. 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?
48. What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
49. If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
50. The surface of a cube is 24sq cm. Find its volume?