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1. The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
2. In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
3. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
4. A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
5. Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
6. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
7. If A:B:C = 2:3:4, then A/B : B/C : C/A is equal to:
8. 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?
9. Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
10. [10 + {4 * ({2/3 + 1/4} * √144/121 + 23) ÷ 12 + 5} - 3] = ?
11. Find the highest common factor of 36 and 84.
12. A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
13. 25 2/5 + 8 4/5 + 4/5 = ?
14. The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
15. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
16. The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
17. (0.9 * 0.9 - 0.8 * 0.8)/1.7 = ?
18. 8988 / 8 / 4 = ?
19. How many meters of carpet 50cm, wide will be required to cover the floor of a room 30m * 20m?
20. 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?
21. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
22. Find the one which does not belong to that group ?
23. Find the one which does not belong to that group ?
24. A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
25. ³√4900 + 123 = ? / 33.004
26. A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
27. 3/20 is what percent of 12/25?
28. In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 16500 at 15% p.a.?
29. If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
30. The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
31. What should be the least number to be added to the 51234 number to make it divisible by 9?
32. 1860 + 4/7 of 21.21 - 41.4 = ?
33. The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
34. 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?
35. Twenty times a positive integer is less than its square by 96. What is the integer?
36. A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
37. A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
38. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
39. 21345 * 45 = 4270 * ?
40. (3^{a+1} 9^{a+2} 27^{a}) / (3^{a-1} 9^{a} 27^{a+1}) = ?
41. A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
42. Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
43. 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?
44. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
45. Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
46. A is faster than B. A and B each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to?
47. Three men start together to travel the same way around a circular track of 11 kilometers in circumference. Their speeds are 4, 5 and 8 kilometers per hour respectively. When will they meet at a starting point?
48.
LCM of 18 and 27 is:
49. Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
50. Find the least square number which is divisible by 10, 12, 15 and 18?