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1. The least number of four digits which is divisible by 4, 6, 8 and 10 is?
2. Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
3. 8 2/3 + 6 4/5 = ?
4. Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
5. 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:
6. The radius of a semi circle is 6.3 cm then its perimeter is?
7. The edge of a cube is 2a cm. Find its surface?
8. 4500 * ? = 3375
9. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
10. 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?
11. A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
12. Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
13. A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
14. Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
15. pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
16. Find the 37.5% of 976 =
17. [10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = ?
18. Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
19. In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
20. The sum of five consecutive odd numbers of set p is 435. What is the sum of five consecutive numbers of another set q. Whose largest number is 45 more than the largest number of set p?
21. A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
22. Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 18000, then find his savings.
23. If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
24. Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
25. A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
26. The sum of three consecutive even numbers is 42. Find the middle number of the three?
27. There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
28. 12 3/4 * (1 2/17 / 8 1/6) / 5 4/3 = ?
29. 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
30. X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
31. A single discount equivalent to the discount series of 20%, 10% and 5% is?
32. If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
33. 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
34. Find the one which does not belong to that group ?
35. A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
36. 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
37. The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
38. Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
39. The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
40. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
41. The sector of a circle has radius of 21 cm and central angle 135^{o}. Find its perimeter?
42. If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
43. The simple form of the ratio 2/3:2/5 is?
44. A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
45. David invested certain amount in three different schemes. A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?
46. ³√?/9261 = 11/21
47. Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
48. A trader marked the price of a car 20% above the cost price and allowed the purchaser 5% discount on the marked price there by gained Rs.8400. Find the cost price of the car?
49. The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
50. Find the quadratic equations whose roots are the reciprocals of the roots of 2x^{2} + 5x + 3 = 0?