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1. The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
2. A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
3. A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
4. 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?
5. If the sum of a number and its square is 182, what is the number?
6. (12)^{3} * 6^{4} / 432 = ?
7. An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?
8. 64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3?
9. 2/3 * 5 1/2 * 2 * 7 5/6 * 9/11 = ?
10. In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
11. Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
12. On dividing number by 357, we get 39 as remainder. On dividing the same number by 17, what will be the remainder?
13. 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?
14. A number exceeds by 25 from its 3/8 part. Then the number is?
15. Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:
16. 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?
17. In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be?
18. A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
19. A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?
20. The successive discounts 20% and 15% are equal to a single discount of?
21. The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
22. The marks obtained by Vijay and Amith are in the ratio 4:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
23. The difference between a number and its two-fifth is 510. What is 10% of that number?
24. The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?
25. The weights of three boys are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
26. By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
27. I. x^{2} + 3x - 18 = 0, II. y^{2} + y - 30 = 0 to solve both the equations to find the values of x and y?
28. 2 + [2 + {2 + (2 + (2 + 2^{3})}] = ?
29. How many cubes of edge 2 dm can be cut out of a meter cube?
30. 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?
31. A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?
32. Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?
33. The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
34. Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m.?
35. 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?
36. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?
37. 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?
38. 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?
39. Find the one which does not belong to that group ?
40. How much is 80% of 40 is greater than 4/5 of 25?
41. The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
42. 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?
43. A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
44. The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
45. In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
46. The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
47. A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
48. A man walked 20 m to cross a rectangular field diagonally. If the length of the field is 16 cm. Find the breadth of the field is?
49. I. a^{2} - 9a + 20 = 0, II. 2b^{2} - 5b - 12 = 0 to solve both the equations to find the values of a and b?
50. What is the sum of all even numbers from 1 to 701?