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1. A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
2. Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
3. The average of the two-digit numbers, which remain the same when the digits interchange their positions, is:
4. If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.
5. Two trains of equal lengths are running at speeds of 30 kmph and 60 kmph. The two trains crossed each other in 30 seconds when travelling in opposite direction. In what time will they cross each other when travelling in the same direction?
6. (64 + 9 + 9) / (2 * 20 + 1) = ?
7. The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
8. Find the roots of the quadratic equation: 2x^{2} + 3x - 9 = 0?
9. If 12 men do a work in 80 days, in how many days will 16 men do it?
10. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
11. How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
12. The greatest ratio out of 2:3, 5:4, 3:2 and 4:5 is?
13. Simplify the following:
14. The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
15. If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
16. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
17. If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
18. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
19. By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?
20. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
21. Find the one which does not belong to that group ?
22. 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?
23. If 20% of a number, then 120% of that number will be?
24. In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are?
25. A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
26. A drink vendor has 80 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
27. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
28. Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days, six men left and six women joined, then in hoe many more days will the work be completed?
29. At what rate percent on simple interest will a sum of money double itself in 30 years?
30. The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
31. If six persons sit in a row, then the probability that three particular persons are always together is -.
32. The duplicate ratio of 3:4 is?
33. What should be the least number to be added to the 51234 number to make it divisible by 9?
34. A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
35. A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
36. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
37. 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?
38. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
39. 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?
40. If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
41. Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
42. The average of first five prime numbers greater than 20 is?
43. The least number of five digits that have 144 their HCF is?
44. The average of first ten prime numbers which are odd is?
45. Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
46. If 70% of an equal to 40% of b, then ratio between a and b is?
47. When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?
48. A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in annual profit of Rs. 40,500 are:
49. (5 - 7)^{2} * (6 - 9)^{2} / (2^{3})^{-2} = ?
50. The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?