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1. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
2. Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
3. Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
4. An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
5. The area of a triangle is with base 4m and height 5m?
6. A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
7. 7 + 5 - (3/2 * 1/4) of 2/7 + 7/2 * 1/6 equals -.
8. The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
9. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
10. 125^{2} * 2^{3} + 35000 = (?)^{2}
11. (12)^{3} * 6^{4} / 432 = ?
12. (0.456 * 0.456 - 0.228 * 0.228) / (0.456 + 0.228) = ?
13. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
14. A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
15. A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
16. What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
17. The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:
18. 21345 * 45 = 4270 * ?
19. A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
20. 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?
21. 80 is what percent of 64?
22. Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
23. If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
24. Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?
25. Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
26. The sum of three consecutive multiples of 3 is 72. What is the largest number?
27. If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true?
28. The sum of two numbers is 25 and their difference is 13. Find their product.
29. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is:
30. The area of the cardboard(in cm^{2}) needed to make a box of size 25 cm * 15 cm * 8 cm will be?
31. Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
32. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
33. A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
34. [50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
35. Mohan's salary was first increased by 20% and then decreased by 20%. If his present salary is Rs. 7200, then what was his original salary?
36. I. 9a^{2} + 18a + 5 = 0, II. 2b^{2} + 13b + 20 = 0 to solve both the equations to find the values of a and b?
37. Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
38. (4300731) - ? = 2535618
39. Find the one which does not belong to that group ?
40. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
41. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
42. A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
43. Which of the following is the greatest?
44. 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?
45. A thief steals at a car at 2.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
46. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
47. What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
48. If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
49. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
50. A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?