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1. Twenty times a positive integer is less than its square by 96. What is the integer?
2. Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
3. A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
4. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
5. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
6. A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
7. 12(13/18) + 16(11/27) - 10(5/9) = ?
8. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at?
9. Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6?
10. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
11. The least number of five digits that have 144 their HCF is?
12. Which one of the following represents the sum of the first n even numbers?
13. If 3^{4m+1} = 3^{7m-5}, solve for m.
14. The triplicate ratio of 1:2 is?
15. 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?
16. An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is?
17. Find the C.I. on Rs. 15,625 for 9 months at 16% per annum compounded quarterly?
18. 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?
19. How much interest can a person get on Rs. 8200 at 17.5% p.a. simple interest for a period of two years and six months?
20. 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?
21. A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 2:3:4. If the total value of all the coins in the bag is Rs.400, find the number of coins of each kind?
22. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
23. The ratio of the area of a square to that of the square drawn on its diagonal is?
24. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
25. Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
26. Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
27. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
28. 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.
29. Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
30. 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?
31. The difference between a number and its three-fifth is 50. What is the number?
32. The salaries of A, B, C are in the ratio 2:3:5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
33. How many figures are required to number the pages the pages of a book containing 365 pages?
34. The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
35. Oranges are bought at 11 for a rupee and an equal number more at 9 a rupee. If these are sold at 10 for a rupee, find the loss or gain percent?
36. If selling price is doubled, the profit triples. Find the profit percent:
37. On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
38. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
39. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
40. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
41. The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
42. Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
43. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
44. The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
45. The sides of a cube are in the ratio 1:2 the ratio of their volume is?
46. One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
47. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
48. [8 + {(21 * โ9/441 - 1 /5 of 60% - 1/5) * 625 + 7} รท 4] = ?
49. If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
50. There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?