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1. 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?
2. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
3. Four bells begin to toll together respectively at the intervals of 8, 10, 12 and 16 seconds. After how many seconds will they toll together again?
4. The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
5. pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
6. The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
7. If selling price is doubled, the profit triples. Find the profit percent:
8. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:
9. A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
10. How many three letter words are formed using the letters of the word TIME?
11. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
12. A sum of money lent out at S.I. amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is?
13. If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
14. ³√216400 + √280 + √322 = ?
15. Find the average of the first 20 natural numbers?
16. Find the mean proportional of the following pairs of numbers 6 and 24.
17. A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
18. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
19. Three consecutive odd integers are in increasing order such that the sum of the last two integers is 13 more than the first integer. Find the three integers?
20. The length of each side of an equilateral triangle having an area of 4√3 cm2 is?
21. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
22. One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
23. 3/20 is what percent of 12/25?
24. By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
25. A number exceeds by 25 from its 3/8 part. Then the number is?
26. In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
27. [(√7 + √5) / ( (√7 - √5)] + [(√7 - √5) / (√7 + √5)] = ?
28. By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
29. How many seconds will a 500 meter 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?
30. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
31. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
32. The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
33. (50 - ?/29)% of 4200 = 3√196
34. The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is?
35. A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?
36. Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?
37. Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
38. A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
39. [(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ?
40. 80 is what percent of 64?
41. 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?
42. Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?
43. There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
44. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
45. 35 + 15 * 1.5 = ?
46. If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
47. The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
48. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
49. 125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
50. 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?
