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1. A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m^{2 }?
2. The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
3. If 25% of x is 15 less than 15% of 1500, then x is?
4. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
5. The simple form of the ratio 2/3:2/5 is?
6. Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
7. Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
8. What should be the least number to be added to the 51234 number to make it divisible by 9?
9. If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.
10. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
11. 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?
12. A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?
13. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
14. If 3^{4m+1} = 3^{7m-5}, solve for m.
15. Find the one which does not belong to that group ?
16. Find the one which does not belong to that group ?
17. A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
18. Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
19. The least number of five digits that have 144 their HCF is?
20. A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
21. Find the one which does not belong to that group ?
22. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
23. The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
24. The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
25. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then A:B:C:D is:
26. 2 1/3 + 4 1/6 - 2 2/3 - 1 1/2 = 2 ?/3
27. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.
28. There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
29. HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
30. Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
31. 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?
32. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
33. 2 + [2 + {2 + (2 + (2 + 2^{3})}] = ?
34. One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
35. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
36. Ratio of the ages of Mahesh and Nilesh is 5:x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x?
37. One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
38. If the cost price of 12 pens is equal to the selling price of 8 pens, the gain percent is:
39. The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
40. A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
41. What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
42. Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
43. A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
44. Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
45. Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle?
46. Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
47. In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.42, the number of 25 paisa coins is?
48. Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
49. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
50. 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?