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1. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
2. 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 -.
3. The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
4. A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
5. The greatest ratio out of 2:3, 5:4, 3:2 and 4:5 is?
6. A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
7. 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
8. Find the least number with which 16200 should be multiplied, to make it a perfect cube.
9. A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
10. The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
11. [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ?
12. 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?
13. A coin is tossed live times. What is the probability that there is at the least one tail?
14. Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
15. 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?
16. A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
17. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
18. The ratio of the incomes of Chetan and Dinesh is 3:4. The ratio of their expenditures is 5:7. If each of them saves Rs.200, find the incomes of both?
19. Find the one which does not belong to that group ?
20. I. x^{2} - x - 42 = 0, II. y^{2} - 17y + 72 = 0 to solve both the equations to find the values of x and y?
21. The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
22. Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
23. The average of first 10 prime numbers is?
24. Find the number of factors of 300 excluding 1 and itself.
25. 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?
26. The number which exceeds 16% of it by 42 is?
27. (112 * 5^{4}) = ?
28. How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
29. On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder?
30. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
31. There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
32. (815 / ?) / 100 * 28 * 3 - (815 * 14 * 6)/100 = 1680
33. Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.
34. The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
35. A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
36. If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
37. 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:
38. A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder?
39. The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
40. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
41. The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
42. 79.98 / 12.51 * 2.49 = ?
43. [(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = ?
44. If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
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. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
47. If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is:
48. A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
49. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
50. If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?