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1. The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
2. If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
3. The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
4. The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
5. Find the 37.5% of 976 =
6. A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance is?
7. The L.C.M of 2^{3} * 3^{2} * 5 and 3^{3} * 5 ^{2} * 2^{3} is.
8. Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
9. If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
10. .
11. ³√216400 + √280 + √322 = ?
12. 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?
13. The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
14. The sum of two numbers is 25 and their difference is 13. Find their product.
15. Which one of the following is the least number of four digits divisible by 71?
16. (5 - 7)^{2} * (6 - 9)^{2} / (2^{3})^{-2} = ?
17. A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
18. Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
19. A person takes 20 minutes more to cover a certain distance by decreasing his speed by 20%. What is the time taken to cover the distance at his original speed?
20. If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
21. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
22. Solve for m if 3(√3)^{m+4} = (√3)^{2m+7}
23. A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
24. 184 * 216 - 81 + 119 / 0.7 = ?
25. 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).
26. If one third of 3/4 of a number is 21. Then find the number?
27. 2 + [2 + {2 + (2 + (2 + 2^{3})}] = ?
28. Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
29. 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?
30. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
31. Find the one which does not belong to that group ?
32. If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is?
33. What is the perimeter of a square field whose diagonal is 8√2?
34. A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
35. 26.98% of 6002 + 45.01% of 4199 = ?
36. If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?
37. The average of 1^{st} 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
38. A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
39. 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?
40. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
41. 45% of 750 - 25% of 480 = ?
42. A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
43. Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P?
44. A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is?
45. If the roots of the equation 2x^{2} - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
46. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
47. Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
48. A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
49. If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:
50. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.