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1. A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
2. Simplify: y^{p(q - r)} . y^{q(r - p)} . y^{r(p - q)}
3. A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
4. [50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
5. (27^{2}/4^{-3})^{-5/6} = ?
6. A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in.
7. By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
8. In an exam, Amar scored 64 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
9. A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
10. (6 - 2 * 3 + 6) / (2 + 6 * 3 - 4) = ?
11. A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
12. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
13. Find the highest common factor of 36 and 84.
14. If 30% of a number exceeds 20% of it by 18, then find the number?
15. 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:
16. 6 of 5/8 / 5/8 - 1/8 = ?
17. Find the one which does not belong to that group ?
18. [8 + {(21 * √9/441 - 1 /5 of 60% - 1/5) * 625 + 7} ÷ 4] = ?
19. The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
20. The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
21. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
22. 6 2/3 * 9 3/5 * 2 1/3 + 1 1/3 = ?
23. The mean proportional between 4 and 9 is?
24. A man purchased 15 pens, 12 books, 10 pencils and 5 erasers. The cost of each pen is Rs.36, each book is Rs.45, each pencil is Rs.8, and the cost of each eraser is Rs.40 less than the combined costs of pen and pencil. Find the total amount spent?
25. What is the sum of all the prime numbers from 20 to 40?
26. How many numbers up to 100 and 300 are divisible by 11?
27. 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?
28. Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?
29. 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?
30. A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
31. 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:
32. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
33. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
34. Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working together to complete the work?
35. A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
36. Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?
37. In an exam, a candidate secured 504 marks our of the maximum mark of M. If the maximum mark M is converted into 800 marks, he would have secured 384 marks. What is the value of M?
38. If p, q and r are positive integers and satisfy x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
39. How many seconds will a 500 m 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?
40. There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
41. Find the one which does not belong to that group ?
42. Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
43. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
44. 96% of the population of a village is 23040. The total population of the village is?
45. What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?
46. Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
47. 25 * 25 / 25 + 15 * 40 = ?
48. Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
49. What is the difference between the local values of 3 in the number 53403?
50. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?