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1. 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.
2. Simplify : 1 - {1 + (a^{2} - 1)^{-1}}^{-1}
3. Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
4. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
5. The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
6. The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
7. The simple interest on Rs.12000 at a certain rate of interest in five years is Rs.7200. Find the compound interest on the same amount for five years at the same rate of interest.
8. How many liters of oil at Rs.40 per liter should be mixed with 240 liters of a second variety of oil at Rs.60 per liter so as to get a mixture whose cost is Rs.52 per liter?
9. At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
10. At what rate percent on simple interest will a sum of money double itself in 30 years?
11. The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
12. 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?
13. In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?
14. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
15. The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's age 4 years hence and B's age 4 years ago?
16. A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
17. 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?
18. A pupil's marks were wrongly entered as 83 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is:
19. Mudit's age 18 years hence will be thrice his age four years ago. Find Mudit's present age?
20. How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
21. 26.98% of 6002 + 45.01% of 4199 = ?
22. 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?
23. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B at 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?
24. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
25. Find the one which does not belong to that group ?
26. By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
27. I. a^{2} - 13a + 42 = 0, II. b^{2} - 15b + 56 = 0 to solve both the equations to find the values of a and b?
28. If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
29. A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
30. A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
31. Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya's age to that of her grandfather?
32. A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
33. Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
34. How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
35. A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
36. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
37. I. a^{3} - 988 = 343, II. b^{2} - 72 = 49 to solve both the equations to find the values of a and b?
38. Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
39. If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
40. Find the roots of quadratic equation: 2x^{2} + 5x + 2 = 0?
41. A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
42. Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
43. 9000 + 16 2/3 % of ? = 10500
44. The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
45. The sum of three consecutive numbers is 87. The greatest among these three number is:
46. 105 * 99 * 299 = ?
47. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
48. Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
49. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
50. A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?