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1. A tank 3 m long, 2 m wide and 1.5 m deep is dug in a field 20 m long and 14 m wide. If the earth dug out is evenly spread out over the field, the level of the field will raise by nearly?
2. Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
3. The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
4. If a + b + c = 0 and abc ≠ 0, then [X^{a3 / abc}][X^{b3 / abc}][X^{c3 / abc}] equals
5. 3251 + 587 + 369 - ? = 3007
6. (84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓
7. Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
8. If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third?
9. The average of first 10 prime numbers is?
10. How much 60% of 50 is greater than 40% of 30?
11. 1/3 of 2/6 of 1/7 of 2/28 of 2140 = ?
12. 24 - [2.4 - {0.24 * 2 - (0.024 - ?)}] = 22.0584
13. I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
14.
Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?
15. Some pens are divided among A, B, C and D. A gets twice the number of pens that B gets. C gets the same number of pens as D gets. If A gets 25 pens more than D and the ratio of the number of pens that B and C get is 2 : 3, then find the number of pens that D gets ?
16. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:
17. The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:
18. Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
19. The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
20. A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
21. 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
22. Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
23. If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
24. Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them?
25. Which one of the following is the least number of four digits divisible by 71?
26. What should be the least number to be added to the 51234 number to make it divisible by 9?
27. Which one of the following represents the sum of the first n even numbers?
28. Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
29. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:
30. Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
31. A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
32. The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?
33. 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?
34. The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
35. Ratio of the ages of Mahesh and Nilesh is 5:x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
36. A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
37. (180/37 of 14.8) / (17/60.1 of 180.30) = ?
38. A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
39. A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
40. Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
41. A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
42. (56^{2} - 24^{2}) * 1/32 + ?% of 1200 = 146
43.
44. Which of the following has most number of divisors?
45. In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
46. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
47. The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
48. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
49. A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?
50. Find the one which does not belong to that group ?