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1. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
2. After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
3. What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
4. 8/15 / 1 1/3 * 3 ?/4 = 1.5
5. The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
6. If y^{3} = 0.008, y^{5} = ?
7. 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?
8. A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
9. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
10. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
11. Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
12. 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?
13. (98 / 7 / 2) / ? = 14
14. A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
15. A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
16. 25 * 25 / 25 + 15 * 40 = ?
17. The area of the floor of a room is 20 m^{2} that of a longer wall 15 m^{2} and of the shorter wall 12 m^{2}, find the edge of the new cube?
18. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
19. On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:
20. Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
21. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
22. If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
23. What is the least number, which is perfect square but contains 2700 as its factor?
24. I. a^{2} - 7a + 12 = 0, II. b^{2} - 3b + 2 = 0 to solve both the equations to find the values of a and b?
25. [50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
26. 20% of 40 + ? % of 80 = 120
27. The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
28. 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?
29. Find the one which does not belong to that group ?
30. At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
31. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
32. The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
33. Find the one which does not belong to that group ?
34. The average of first 10 natural numbers is?
35. 6 - [5/6 + {3 7/8 - 2 1/3 + 1 7/9}] = ?
36.
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
37. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
38. A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
39. In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be?
40. A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
41. 58978 / 363.94 * 11.02 = ?
42. In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
43. One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
44. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.
45. P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
46. 64 boys and 40 girls form a group for social work. During their membership drive, same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4 : 3?
47. 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.
48. 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
49. 3251 + 587 + 369 - ? = 3007
50. 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?