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1. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
2. The average of first 10 natural numbers is?
3. With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered?
4. 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:
5. How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers?
6. The radius of a semi circle is 6.3 cm then its perimeter is?
7. The compound ratio of 5:6, 3:2 and 4:5?
8. Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
9. 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?
10. Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is:
11. The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
12. A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
13. A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
14. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years?
15. A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
16. The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
17. A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
18. By how much is 3/5th of 875 greater than 2/3 of 333?
19. A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
20. [(62.25/2.5) + (12.5/0.5)] / [(0.75 * 9) + (3.5 * 3.5)] = ?
21. A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?
22. If three eighth of a number is 141. What will be the approximately value of 32.08% of this number?
23. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
24. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
25. 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?
26. Find the one which does not belong to that group ?
27. A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
28. A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
29. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
30. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
31. A man spends 10% of his income in house rent, 20% of the rest on his children’s education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is?
32. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
33. If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
34. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
35. The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is:
36. The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
37. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
38. 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?
39. If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C?
40. 96% of the population of a village is 23040. The total population of the village is?
41. The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is:
42. ³√?/9261 = 11/21
43. A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is?
44. If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
45. Find the roots of quadratic equation: x2 + x - 42 = 0?
46. The triplicate ratio of 1:2 is?
47. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
48. A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
49. The sum of three consecutive numbers is 87. The greatest among these three number is:
50. 24 - [2.4 - {0.24 * 2 - (0.024 - ?)}] = 22.0584
