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1. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
2. P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
3. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
4. 184 * 216 - 81 + 119 / 0.7 = ?
5. If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
6. The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
7. A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
8. ³√216400 + √280 + √322 = ?
9. 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?
10. 109.13 * 34.14 - 108.12 * 33 = ?
11. The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
12. The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
13. An amount of Rs. 3000 becomes Rs. 3600 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
14. Find the area of circle whose radius is 7m?
15. A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
16. 85% of a number is added to 24, the result is the same number. Find the number?
17. The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
18. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
19. At what rate percent on simple interest will a sum of money double itself in 30 years?
20. 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?
21. How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
22. 36 * 48 ÷ 64 + 36 ÷ 12 = ?
23. The sum of the digits of a two-digit number is 12. The difference of the digits is 6. Find the number?
24. 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.
25. A property decreases in value every year at the rate of 6 1/4% of its value at the beginning of the year its value at the end of 3 years was Rs.21093. Find its value at the beginning of the first year?
26. Find the one which does not belong to that group ?
27. Find the one which does not belong to that group ?
28. The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is:
29. {20 - [7 - (3 -2)] + 1/3 (4.2)} / 1.4 = ?
30. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
31. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
32. Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
33. Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?
34. 58978 / 363.94 * 11.02 = ?
35. The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
36. A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
37. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
38. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
39. What number has a 5:1 ratio to the number 10?
40. If 70% of an equal to 40% of b, then ratio between a and b is?
41. The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
42. A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
43. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
44. A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
45. Find the one which does not belong to that group ?
46. 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?
47. 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?
48. 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?
49. A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
50. A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?