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1. What is the difference between the local values of 3 in the number 53403?
2. There are two positive numbers in the ratio 5 : 8. If the larger number exceeds the smaller by 15, then find the smaller number?
3. (815 / ?) / 100 * 28 * 3 - (815 * 14 * 6)/100 = 1680
4. The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
5. 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?
6. 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:
7. A car covers a distance of 624 km in 6 ½ hours. Find its speed?
8. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
9. If four coins are tossed, the probability of getting two heads and two tails is -.
10. Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
11. A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m^{2}?
12. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
13. (27^{2}/4^{-3})^{-5/6} = ?
14. Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
15. What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
16. 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?
17. Find the one which does not belong to that group ?
18. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?
19. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
20. Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
21. Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
22. 6.4 * 1.25 = (?)^{3}
23. The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
24. If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.
25. The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
26. A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work in 40 days?
27. Amar, Bhavan and Chetan divide an amount of Rs. 5600 among themselves in the ratio 3 : 6 : 5. If an amount of Rs. 400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?
28. 2222.2 + 222.22 + 22.222 = ?
29. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.
30. The number which exceeds 16% of it by 42 is?
31. The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
32. A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
33. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
34. {20 - [7 - (3 -2)] + 1/3 (4.2)} / 1.4 = ?
35. The greatest number of four digits that have 144 for their HCF is?
36. The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
37. A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
38. Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
39. If six persons sit in a row, then the probability that three particular persons are always together is -.
40. Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
41. Find the one which does not belong to that group ?
42. The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
43. Ravi invested certain amount for two rates of simple interests at 6% p.a. and 7% p.a. What is the ratio of Ravi's investments if the interests from those investments are equal?
44. Find the one which does not belong to that group ?
45. If x;Y = 5:2, then (8x + 9y):(8x + 2y) is :
46. A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
47. The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
48. The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
49. Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
50. 3648.24 + 364.824 / ? - 36.4824 = 3794.1696