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1. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
2. How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
3. Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
4. Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
5. What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
6. The ratio of the cost price and the selling price is 4:5. The profit percent is:
7. 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?
8. If the roots of the equation 2x^{2} - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
9. If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
10. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
11. (6 - 2 * 3 + 6) / (2 + 6 * 3 - 4) = ?
12. Amar, Bhavan and Chetan divide an amount of Rs. 5600 among themselves in the ratio 3 : 6 : 5. If an amount of Rs. 400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?
13. A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
14. 125^{2} * 2^{3} + 35000 = (?)^{2}
15. In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?
16. The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
17. The ratio of the area of a square to that of the square drawn on its diagonal is?
18. If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
19. Rahim bought 65 books for Rs.1150 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ?
20. (18^{2} - 9^{2} * 3) / (675 * ?) = 4
21. A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
22. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
23. Two numbers are in the ratio 1:2. If 7 is added to both, their ratio changes to 3:5. The greatest number is:
24. Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
25. A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
26. Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
27. 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?
28. The altitude of an equilateral triangle of side 2√3 cm is?
29. (0.9 * 0.9 - 0.8 * 0.8)/1.7 = ?
30. Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:
31. The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
32. 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 :
33. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:
34. Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
35. A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
36. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
37. 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?
38. Simplify : 1 - {1 + (a^{2} - 1)^{-1}}^{-1}
39. A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
40. 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
41. A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is?
42. Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
43. The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
44. (4300731) - ? = 2535618
45. Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
46. A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
47. Find the 37.5% of 976 =
48. The sum of three consecutive even numbers is 42. Find the middle number of the three?
49. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:
50. Find the one which does not belong to that group ?