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1. What is the perimeter of a square field whose diagonal is 8√2?
2. Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
3. If Rs.3250 be divided among Ram, Shyam and Mohan in the ratio of 1/2:1/3:1/4 then the share of each are?
4. The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?
5. A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
6. Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?
7. A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least number of trees required.
8. What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
9. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
10. In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
11. (0.456 * 0.456 - 0.228 * 0.228) / (0.456 + 0.228) = ?
12. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
13. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
14. The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
15. After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
16. 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?
17. Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
18. The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
19. At what rate percent of simple interest will a sum of money double itself in 12 years?
20. Two men Amar and Bhuvan have the ratio of their monthly incomes as 6 : 5. The ratio of their monthly expenditures is 3 : 2. If Bhuvan saves one-fourth of his income, find the ratio of their monthly savings?
21.
The sub-duplicate ratio of 1:4 is
22. The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
23. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
24. HCF of 3/16, 5/12, 7/8 is:
25. (27^{2}/4^{-3})^{-5/6} = ?
26. Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
27. 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:
28. The fourth proportional to 5, 8, 15 is:
29. Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
30. The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
31. 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?
32. 45/100 * 125 + 22.22 = ?
33. The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
34. A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
35. 26.98% of 6002 + 45.01% of 4199 = ?
36. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x^{2} + 8x + 4 = 0?
37. Find the least square number which is divisible by 10, 12, 15 and 18?
38. 105 * 99 * 299 = ?
39. The least number of five digits that have 144 their HCF is?
40. Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
41. A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
42. [3/7 of {21 * (33.33% of (27 + 3) ÷ 5) - 7} - 8] = ?
43. A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is:
44. Product of two co-prime numbers is 117. Their L.C.M should be:
45. 3.5 can be expressed in terms of percentage as?
46. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
47. A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
48. The product of two digits number is 2160 and their HCF is 12. The numbers are:
49. Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
50. Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?