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1. Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 2 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
2. Two-fifth of one-third of three-seventh of a number is 15. What is 40% of that number?
3. 16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
4. 7 2/5 of 110 / ? = 844
5. Find the one which does not belong to that group ?
6. A coin is tossed live times. What is the probability that there is at the least one tail?
7. A batsman in his 17^{th} innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17^{th}innings?
8. In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
9. The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
10. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
11. A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
12. What number has a 5:1 ratio to the number 10?
13. The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
14. Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
15. A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
16. A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
17. The population of a city increases at the rate of 4% p.a. but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increase in the population after 2 years is?
18. If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
19. If x = √3 - √2, then find (x - 1/x)^{2}
20. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
21. The ratio of the area of a square to that of the square drawn on its diagonal is?
22. 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?
23. A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
24. A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
25. Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?
26. A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?
27. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
28. Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
29. Sum of the digits number is 8 and their product is 12. Find the difference between the digits?
30. If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
31. The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
32. There are two positive numbers in the ratio 5 : 8. If the larger number exceeds the smaller by 15, then find the smaller number?
33. Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
34. If x;Y = 5:2, then (8x + 9y):(8x + 2y) is :
35. The total marks obtained by a student in Mathematics and Physics is 60 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
36. 5/8 * 2^{(2/5 - 5/4)} / 1 ^{1/4 } = ?
37. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
38. 40 is subtracted from 60% of a number, the result is 50. Find the number?
39. The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
40. 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?
41. 2 + [2 + {2 + (2 + (2 + 2^{3})}] = ?
42. 2^{42} + 4^{20} + 16^{11} + 64^{7} equals
43. 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:
44. Find the one which does not belong to that group ?
45. (8x^{9} / 27y^{-6})^{-2/3} = ?
46. What is the probability that a leap year has 53 Sundays and 52 Mondays?
47. The average of five results is 46 and that of the first four is 45. The fifth result is?
48. The least square number which divides 8, 12 and 18 is?
49. The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?
50. Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is: