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1. A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
2. A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
3. A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
4. 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?
5. 20% of 40 + ? % of 80 = 120
6. I. x^{2} + 11x + 30 = 0, II. y^{2} + 15y + 56 = 0 to solve both the equations to find the values of x and y?
7. A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
8. 25% of ? + 36% of 1225 = 816
9. 24 - [2.4 - {0.24 * 2 - (0.024 - ?)}] = 22.0584
10. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?
11. Find the one which does not belong to that group ?
12. After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
13. On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:
14. The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is:
15. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
16. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
17. A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
18. Find the number of factors of 300 excluding 1 and itself.
19. A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
20. The difference between simple interest and C.I. at the same rate for Rs.5000 for 2 years in Rs.72. The rate of interest is?
21. A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?
22. Find the one which does not belong to that group ?
23. Which of the following is the greatest?
24. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
25. (0.9 * 0.9 - 0.8 * 0.8)/1.7 = ?
26. 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. In how much time will the trains cross each other?
27. 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
28. If (4^{61} + 4^{62} + 4^{63} + 4^{64}) is divisible by ?, then ? =
29. In finding the HCF of two numbers, the last divisor was 41 and the successive quotients, starting from the first, where 2, 4 and 2. The numbers are?
30. [(√7 + √5) / ( (√7 - √5)] + [(√7 - √5) / (√7 + √5)] = ?
31. From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -.
32. A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
33. A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
34. 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?
35. If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
36. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.
37. Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
38. A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?
39. The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
40. The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?
41. Find the least number with which 16200 should be multiplied, to make it a perfect cube.
42. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
43. 105 * 99 * 299 = ?
44. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
45. The length of each side of an equilateral triangle having an area of 4√3 cm^{2} is?
46. A room is 4 meters 37 cm long and 3 meters 23cm broad. It is required to pave the floor with minimum square slabs. Find the number of slabs required for this purpose?
47. 58978 / 363.94 * 11.02 = ?
48. Find the one which does not belong to that group ?
49. Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
50. If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: