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1. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is:
2. The average of first ten prime numbers which are odd is?
3. 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?
4. Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
5. If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
6. A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
7. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
8. The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
9. What is the difference between the local value of 7 and 5 in the number 2574?
10. How many numbers up to 500 are divisible by 23?
11. The proportion of copper and zinc in the brass is 13:7. How much zinc will there be in 100 kg of brass?
12. A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
13. A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
14. A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
15. A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
16. 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?
17. Find the one which does not belong to that group ?
18. Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.
19. Identify the greatest numbers: 4^{50}, 2^{100}, 16^{25}
20. If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
21. How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
22. 20% of 40 + ? % of 80 = 120
23. A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
24. The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is:
25. 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?
26. 64 boys and 40 girls form a group for social work. During their membership drive, same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4 : 3?
27. {20 - [7 - (3 -2)] + 1/3 (4.2)} / 1.4 = ?
28. Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
29. Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
30. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
31. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was?
32. A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder?
33. An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
34. If x % of 80 = 20% of y, then x = ? and y = ?
35. A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
36. A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
37. The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
38. Find the one which does not belong to that group ?
39. Ratio between two numbers is 3: 4 and their sum is 420. Find the smaller number?
40. 217 * 217 + 183 * 183 = ?
41. (4300731) - ? = 2535618
42. The average age 9 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
43. 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?
44. The inverse ratio of 3: 2: 1 is?
45. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2^{4} * 3^{5} * 5^{2} * 7^{2}. The third number is:
46. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
47. The average of first 10 prime numbers is?
48. A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
49. A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
50. A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?