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1. A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
2. The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
3. Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
4. The number which exceeds 16% of it by 42 is?
5. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is:
6. What is the remainder when 263251 is divided by 9?
7. The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
8. Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
9. The perimeter of a semi circle is 144 cm then the radius is?
10. The least number of four digits which is divisible by 15, 25, 40 and 75 is:
11. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
12. Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
13. The edge of a cube is 2a cm. Find its surface?
14. Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in.
15. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
16. Rs.525 among A, B and C such that B may get 2/3 of A and C together get. Find the share of C?
17. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
18. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
19. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
20. The average of non-zero number and its square is 5 times the number. The number is:
21. 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?
22. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
23. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
24. The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
25. A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
26. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
27. A gardener wants to plant trees in his garden in rows in such a way that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
28. LCM of 87 and 145 is:
29. Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
30. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
31. Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
32. The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
33. (3^{-3} * 9^{5/2}) / (27^{2/3} * 3^{-4}) = ?
34. The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
35. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
36. A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
37. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
38. 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?
39. The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages.
40. The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
41. The radius of a semi circle is 6.3 cm then its perimeter is?
42. By how much is 3/5th of 875 greater than 2/3 of 333?
43. A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
44. A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
45. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
46. Simplify the following equation [(p - q)^{2} - (p + q)^{2}] / 4p = b/a
47. The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
48. There are two numbers. If 40% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
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. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?