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1. A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
2. The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
3. A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
4. What is the sum of all the composite numbers up to 20?
5. The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:
6. The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
7. 184 * 216 - 81 + 119 / 0.7 = ?
8. 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?
9. Find the one which does not belong to that group ?
10. The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
11. A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
12. (12)^{3} * 6^{4} / 432 = ?
13. [8 + {(21 * √9/441 - 1 /5 of 60% - 1/5) * 625 + 7} ÷ 4] = ?
14. In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
15. Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
16. The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
17. Find the mean proportional of the following pairs of numbers 6 and 24.
18. A man engaged a servant on the condition that he would pay him Rs.710 and a uniform after a year service. He served only for 8 months and got Rs.460 and a uniform. Find the price of the uniform?
19. A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
20. 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?
21. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
22. ? % of 400 + 40% of 160 = 17% of 400
23. A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
24. What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
25. If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
26. Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
27. Find the ratio between whole surfaces of a sphere and a hemisphere?
28. Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48.
29. 7 2/5 of 110 / ? = 844
30. A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
31. If a: b = 3:4, b:c = 7:9, c:d = 5:7, find a:d?
32. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:
33. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
34. One root of the quadratic equation x^{2} - 12x + a = 0, is thrice the other. Find the value of a?
35. How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
36. Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?
37. A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
38.
Least perfect square number, exactly divisible by 21, 36 and 56 is?
39. I. a^{3} - 988 = 343, II. b^{2} - 72 = 49 to solve both the equations to find the values of a and b?
40. 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?
41. The least square number which divides 8, 12 and 18 is?
42. 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?
43. A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
44. If 70% of an equal to 40% of b, then ratio between a and b is?
45. How many numbers up to 200 are divisible by 2 and 3 both?
46. Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
47. If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
48. The simple form of the ratio 2/3:2/5 is?
49. Find the one which does not belong to that group ?
50. By mixing two brands of tea and selling the mixture at the rate of Rs. 177 per kg. a shopkeeper makes a profit of 18%. If to every 2 kg of one brand costing Rs. 200 per kg, 3 kg of the other brand is added, then how much per kg does the other brand cost?