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1. Find the one which does not belong to that group ?
2. If 15% of 30% of 50% of a number is 90, then what is the number?
3. ? % of 400 + 40% of 160 = 17% of 400
4. Simplify : 1 - {1 + (a^{2} - 1)^{-1}}^{-1}
5. A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
6. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
7. The total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
8. A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
9. Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
10. 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?
11. A is half good a work man as B and together they finish a job in 14 days. In how many days working alone B finish the job?
12. An officer was appointed on maximum daily wages on contract money of Rs. 4956. But on being absent for some days, he was paid only Rs. 3894. For how many days was he absent?
13. What is the least number to be subtracted from 11, 15, 21 and 30 each so that the resultant numbers become proportional?
14. If x = √11 + √20, y = √15 + √17 and z = √14 + √18, then which of the following holds true?
15. 5358 * 51 = ?
16. The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
17. 40% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
18. A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
19. Which of the following groups of fractions is in descending order?
20. Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
21. The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:
22. If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
23. Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
24. By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
25. A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?
26. Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
27. Find the one which does not belong to that group ?
28. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
29. The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
30. A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is:
31. 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?
32. (22 * 495 + 891 * 44) / (33 * 176 + 55 * 264) = ?
33. A train 100 m long crosses a platform 125 m long in 15 sec; find the speed of the train?
34. Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?
35. 45% of 750 - 25% of 480 = ?
36. Find the one which does not belong to that group ?
37. A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
38. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
39. Find the area of a parallelogram with base 24 cm and height 16 cm.
40. The ratio of the prices of three articles X, Y and Z is 8 : 5 : 3. If the prices of X , Y and Z are increased by 25%, 20% and 33 1/3% respectively, then what would be the ratio of the new prices of X, Y and Z?
41. 150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
42. The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
43. How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
44. Ram's age and Shyam's age are in the ratio 3:4. Seven years ago the ratio of their ages was 2:3. Find the ratio of their ages five years hence?
45. I. a^{2} - 2a - 8 = 0, II. b^{2} = 9 to solve both the equations to find the values of a and b?
46. Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.
47. The perimeter of a semi circle is 144 cm then the radius is?
48. The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is:
49. Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
50. 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?