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1. Find the quadratic equations whose roots are the reciprocals of the roots of 2x^{2} + 5x + 3 = 0?
2. What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
3. The least number of five digits that have 144 their HCF is?
4. Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
5. A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?
6. 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?
7. Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
8. I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
9. A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.
10. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
11. Find the area of a parallelogram with base 24 cm and height 16 cm.
12. Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
13. I. 9a^{2} + 18a + 5 = 0, II. 2b^{2} + 13b + 20 = 0 to solve both the equations to find the values of a and b?
14. The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
15. Ajay spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.
16. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
17. Simplify: y^{p(q - r)} . y^{q(r - p)} . y^{r(p - q)}
18. 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:
19. Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
20. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
21. A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
22. 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?
23. Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
24. How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
25. Which one of the following represents the sum of the first n even numbers?
26. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
27. The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s?
28. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
29. A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
30. In how much time will a train of length 100 m, moving at 36 kmph cross an electric pole?
31. The ratio of two numbers is 2:3 and the sum of their cubes is 945. The difference of number is?
32. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
33. 8.008 + 0.8 + 80.8 + 800.8 + 0.08 = ?
34. How many three letter words are formed using the letters of the word TIME?
35. Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?
36. 8 2/3 + 6 4/5 = ?
37. [50 - {20 + 60% of (26/13 + 24/12 + 21) - 2} + 8] = 625/?
38. Find the one which does not belong to that group ?
39. If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
40. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
41. The least number which when add 3 to it, completely divided 8, 12 and 18 is?
42. 16.66% of 33.33% of 66.66% of ? = 30
43. The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
44. A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is three-fifth of the distance traveled by bus. If he traveled by train, plane and bus, then find the distance traveled by bus?
45. The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
46. Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
47. Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
48. The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
49. 8/15 / 1 1/3 * 3 ?/4 = 1.5
50. Simplify : (y^{4b-a} . y^{4c-b} . y^{4a-c}) / (y^{a} . y^{b} . y^{c})^{3}