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1. Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.
2. The product of two numbers is 2025 and their HCF is 15 their LCM is:
3. If A got 80 marks and B got 60 marks, then what percent of A's mark is B's mark?
4. The sum and the product of the roots of the quadratic equation x^{2} + 20x + 3 = 0 are?
5. Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
6. The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
7. Find the length of the wire required to go 15 times round a square field containing 69696 m^{2}.
8. A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m^{2} and the short side is 30 m long. How much would the job cost?
9. 20% of 40 + ? % of 80 = 120
10. 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?
11. The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
12. In how many ways can six members be selected from a group of ten members?
13. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it so to be completed in 3 days?
14. 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
15. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
16. H.C.F of 4 * 27 * 3125, 8 * 9 * 25 * 7 and 16 * 81 * 5 * 11 * 49 is:
17. Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?
18. The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
19. 30.9 * 3000 - 10.1 * 1100 + 8298 - 4302 = ?
20. How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
21. Find the one which does not belong to that group ?
22. The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
23. A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
24. 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?
25. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
26. The sum of three consecutive even numbers is 42. Find the middle number of the three?
27. The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?
28. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?
29. 9000 + 16 2/3 % of ? = 10500
30. How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
31. If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
32. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
33. Oranges are bought at 11 for a rupee and an equal number more at 9 a rupee. If these are sold at 10 for a rupee, find the loss or gain percent?
34. The edge of a cube is 2a cm. Find its surface?
35.
Least perfect square number, exactly divisible by 21, 36 and 56 is?
36. An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is?
37. The perimeter of a semi circle is 144 cm then the radius is?
38. A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
39. A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:
40. Using all the letters of the word "THURSDAY", how many different words can be formed?
41. The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
42. At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
43. If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer?
44. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
45. Sum of two consecutive even terms lacks by 98 from their product. Find the sum of these numbers?
46. An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
47. A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
48. The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
49. 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?
50. 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.