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1. Two third of three- fifth of one fourth of a number is 24, what is 30% of that number?
2. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
3. LCM of 1/3, 5/6, 5/4, 10/7 is:
4. A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
5. 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?
6. Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?
7. 183.21 + 2.9928 * 66.84 = ?
8. What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?
9. In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
10. Ten percent of Ram's monthly salary is equal to eight percent of Shyam's monthly salary. Shyam's monthly salary is twice Abhinav's monthly salary. If Abhinav's annual salary is Rs. 1.92 lakhs, find Ram's monthly salary?
11. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
12. Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
13. On dividing a number by 68, we get 269 as quotient and 0 as remainder. On dividing the same number by 67, what will be the remainder?
14. A cylinder and a cone have a same height and same radius of the base. The ratio between the volumes of the cylinder and cone is?
15. If the sum of a number and its square is 182, what is the number?
16. The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?
17. A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
18. HCF of 3/16, 5/12, 7/8 is:
19. Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
20. 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?
21. The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
22. 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?
23. [(√7 + √5) / ( (√7 - √5)] + [(√7 - √5) / (√7 + √5)] = ?
24. A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
25. If x = 3 - √7, then find the value of x + 1/x.
26. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
27. 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?
28. Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?
29.
Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?
30. 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?
31. The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
32. 64 boys and 40 girls form a group for social work. During their membership drive, 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?
33. Find the one which does not belong to that group ?
34. Find the one which does not belong to that group ?
35. 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?
36. Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
37. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
38. Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?
39. 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?
40. If a man can cover 12 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
41. A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
42. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
43. If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
44. A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
45. A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work in 40 days?
46. 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?
47. The average of 9 observations was 9, that of the 1^{st} of 5 being 10 and that of the last 5 being 8. What was the 5^{th} observation?
48. 1: 3 = 1 2/3: x. The value of x is?
49. If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.
50. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?