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Mathematics For Law Entrance (Previous Papers)
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80+ Math Questions From AILET Previous Papers.
Mathematics For Law Entrance (Previous Papers)
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25 Questions

1. Fresh grapes contain 90% water to weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
2. A garden is rectangular in shape. A sum of Rs. 1,000 was spent to make the land usable at the rate of 25 paisa per m2. The breadth of the garden is 50 m.
If the length of the garden is increased by 20 n% what will be the expenditure in rupees for making the land usable, at the same rate per m2?
3. A certain sum of money was deposited in a bank and it became two-fold in 10 years. What is the rate of simple interest?
4. What is the simple interest for 9 years on a sum of Rs. 800 if the rate of interest for the first 4 years is 8% per annum and for the last 4 years is 6% per annum?
5. An express train travels at an average speed of 120 km per hour, stopping for 4 minutes after every 80 kms. How long will it take the train to reach a destination 960 km away?
6. A man has 9 friends: 4 boys and 5 girls. In how many ways can be invite them, if there have to be exactly 3 girls in the invitee’s list?
7. Four years ago, the ages of Ritu and Reena were in the ratio 5 : 6 respectively. Eight years from now the respective ratio of their ages will be 8 : 9. What is the sum of their ages at present?
8. Mohan credits 15% of his salary into his bank and spends 30% of the remaining amount on household articles. If cash on hand is Rs. 2,380/-, what is his salary?
9. Two cubes of bronze have their total weight equivalent to 60 kg. The first piece contains 10 kg of pure zinc and the second piece contains 8 kg of pure zinc. What is the percentage of zinc in the first piece of bronze if the second piece contains 15% more zinc than the first?
10. The average age of three boys is 15 years. If their ages are in the ratio 3 : 5 : 7, the age of the youngest boy is
11. Reema, Ruchi and Richa can make a painting in 15, 20 and 30 days, respectively. They undertake to make a painting for Rs. 810. The share of Reema exceeds that of Ruchi by
12. What will be the difference in simple and compound interest on Rs. 2000 after three years at the rate of 10 per cent per annum?
13. A dice is rolled twice. What is the probability that sum of the numbers on the two faces is 5?
14. A sum is divided between A and B in the ratio of 1:2. A purchased a car from his part, which depreciates 14 2/7% per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern
(approximately)?
15. A streamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of stream is 2 km/h, the distance between the two ports is
16. In Ramnagar Colony, the ratio of school going children to non-school going children is 5:4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400, what is the new ratio of school going children to non-school going children?
17. The number of natural numbers of two or more than two digits in which digits from left to right are in increasing order is
18. A group of men decide to do a job in 8 days. But since 10 men dropped out every day, the job got competed at the end of the 12th day. How many men were there at the beginning?
19. A right circular cones and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is
20. The petrol prices shot up by 7% as a result of the hike in the price of crudes. The price of petrol before the hike was Rs. 28 per liter. Vawal travels 2,400 kilometers every month and his car gives a mileage of 18 kilometers per litre. Find the increase in the expenditure that Vawal has to incur due to the increase in the price of petrol (to the nearest rupee)?
21. A student rides a bicycle at 8 kms/hr and reaches the school 2.5 minutes late. The next day he increases the speed to 10 kms/hr and reaches school 5 minutes early. How far is the school from his house?
22. In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?
23. If Rs. 80 amounts to Rs. 140 in 4 years, what will Rs. 96 amount to in 10 years at the same rate of interest per annum?
24. P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R.
25. The average price of 10 pens is Rs. 12 while the average price of 8 of these pens is Rs. 11.75. Of the remaining two pens, if the price of one pen is 60% more than the price of the other, what is the price of each of these two pens?

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