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1. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
2. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
3. 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.
4. Find the one which does not belong to that group ?
5. If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
6. Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
7. The sum of three consecutive integers is 102. Find the lowest of the three?
8. 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?
9. The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?
10. The population of a city increases at the rate of 4% p.a. but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increase in the population after 2 years is?
11. Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
12. The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
13. A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
14. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
15. Anna left for city A from city B at 5.20 a.m. She traveled at the speed of 80 km/hr for 2 hrs 15 min. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?
16. The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages?
17. What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?
18. The greatest number of four digits that have 144 for their HCF is?
19. A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
20. (272/3 * 91/2 * 811/4)-1/4 = ?
21. The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is?
22. if (x + y)/(2x + y) = 4/5, then find (2x + y)/(3x + y) ?
23. The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
24. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
25. - 84 * 29 + 365 = ?
26. √3584 * 52.034 = ?
27. In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
28. The sum of three consecutive multiples of 3 is 72. What is the largest number?
29. I. 9a2 + 18a + 5 = 0, II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b?
30. The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
31. In an examination 40% failed in Hindi, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is?
32. When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?
33. In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
34. Find the one which does not belong to that group ?
35. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
36. If 30% of a number exceeds 20% of it by 18, then find the number?
37. In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
38. An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
39. 2222.2 + 222.22 + 22.222 = ?
40. The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?
41. (98 / 7 / 2) / ? = 14
42. Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
43. Find the one which does not belong to that group ?
44. Find the H.C.F of 204, 1190 and 1445?
45. A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
46. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
47. A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
48. 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.
49. If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
50. The average of first 10 natural numbers is?
