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1. If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
2. Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is -.
3. A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
4. (0.9 * 0.9 - 0.8 * 0.8)/1.7 = ?
5.
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
6. A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
7. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
8. In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
9. A single discount equivalent to the discount series of 20%, 10% and 5% is?
10. Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
11. 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?
12. A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required.
13. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
14. The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
15. The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
16. 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?
17. In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
18. A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
19. Find the average of the first 20 natural numbers?
20. The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is?
21. A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
22. Find the one which does not belong to that group ?
23. Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
24. Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
25. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
26. A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
27. If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
28. (743.30)^{2} = ?
29. Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
30. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
31. 7589 - ? = 3434
32. 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?
33. The perimeter of a semi circle is 144 cm then the radius is?
34. There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
35. Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
36. If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
37. Positive integers indicated by x and y satisfy 3 1/x * y 2/5 = 13 3/4, the fractions being in their lowest terms, then x = ? and y = ?
38. A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
39. When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?
40. If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
41. The average of first 10 prime numbers is?
42. Find the one which does not belong to that group ?
43. A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
44. LCM of 87 and 145 is:
45. A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
46. The curved surface of a sphere is 64 π cm^{2}. Find its radius?
47. A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
48. Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
49. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
50. Find the one which does not belong to that group ?