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1. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
2. Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
3. 6 of 5/8 / 5/8 - 1/8 = ?
4. A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
5. Find the one which does not belong to that group ?
6. A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
7. The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
8. I. x2 + 9x + 20 = 0, II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y?
9. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
10. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.
11. A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
12. A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
13. Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
14. The average of 10 numbers is 23. If each number is increased by 4, what will the new average be?
15. 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?
16. A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
17. In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
18. The product of two digits number is 2160 and their HCF is 12. The numbers are:
19. The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
20. What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
21. Find the one which does not belong to that group ?
22. Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?
23. A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
24. A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
25. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
26. 45/100 * 125 + 22.22 = ?
27. If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.
28. 4500 * ? = 3375
29. The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
30. (272/3 * 91/2 * 811/4)-1/4 = ?
31. The least number which when divided by 8, 12 and 16, leave in each remainder 3, is?
32. The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.
33. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
34. Find the least number by which (59)(36)(17) has to be multiplied to obtain a perfect square?
35. 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?
36. If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is:
37. Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
38. If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
39. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
40. What is the difference between the local value of 7 and 5 in the number 2574?
41. [10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = ?
42. The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?
43. The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
44. The value of (2.75)3 - (2.00)3 - (0.75)3 is
45. The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
46. The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?
47. At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
48. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum?
49. The greatest number of four digits that have 144 for their HCF is?
50. 24 - [2.4 - {0.24 * 2 - (0.024 - ?)}] = 22.0584
