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1. 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.
2. A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
3. Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
4. Find the least number of five digits which is exactly divisible by 12, 15 and 18?
5. (112 * 5^{4}) = ?
6. A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
7. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
8. A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
9. 7589 - ? = 3434
10. Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
11. If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
12. 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?
13. The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
14. (0.9 * 0.9 - 0.8 * 0.8)/1.7 = ?
15. The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is -.
16. The difference between two integers is 5. Their product is 500. Find the numbers.
17. Twenty times a positive integer is less than its square by 96. What is the integer?
18. A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
19. 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are?
20. 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?
21. 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?
22. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
23. The edge of a cube is 2a cm. Find its surface?
24. The average of non-zero number and its square is 5 times the number. The number is:
25. By selling an umbrella for Rs. 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
26. A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?
27. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
28. 35 + 15 * 1.5 = ?
29. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:
30. Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
31. (56^{2} - 24^{2}) * 1/32 + ?% of 1200 = 146
32. A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
33. The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
34. If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
35. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
36. If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
37. Find the one which does not belong to that group ?
38. 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?
39. Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?
40. Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
41. A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
42. By how much is 3/5th of 875 greater than 2/3 of 333?
43. 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?
44. There are two positive numbers in the ratio 5 : 8. If the larger number exceeds the smaller by 15, then find the smaller number?
45. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?
46. A car covers a distance of 624 km in 6 ½ hours. Find its speed?
47. The average of 35 numbers is 25. If each number is multiplied by 5, find the new average?
48. 106 * 106 - 94 * 94 = ?
49. 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?
50. 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?