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Mathematics For Law Entrance (Previous Papers)
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Mathematics For Law Entrance (Previous Papers)
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25 Questions

1. Two taps ‘A’ and ‘B’ can fill a water reservoir in 8 and 6 hours respectively. A third tap ‘C’ can empty the tank completely in 24 hours. How long would it take to fill the empty tank when all the taps are open?
2. The average height of 10 students in a class is 105
cms. If 20 more students with an average height of 120 cms join them, what will be the average height?
3. The ratio in which Aman and Bimal have contributed to the capital of a company is 3 : 4. Bimal has invested his capital for only 3 months and has received half as much profit as Aman, at the end of the year. Find out for how much time has Aman invested his capital in the company.
4. 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?
5. The Bubna dam has four inlets. Through the first three inlets, the dam can be filled in 12 minutes; through the second, the third and the fourth inlet, it can be filled in 15 minutes; and through the first and the fourth inlet, in 20 minutes. How much time will it take for all the four inlets to fill up the dam?
6. Anil is half his father’s age now, 15 years ago, he was one-third of his father’s age. How old will Anil be after five years?
7. 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?
8. A box contains Rs. 56 in the form of coins of one rupee, 50 paisa and 25 paisa. The number of 50 paisa coins is double the number of 25 paisa coins and four times the number of one rupee coins. The number of 50 paisa coin in the box is
9. Before 3 years, the average age of a five member family was 17 years. A baby having been born and the average of family is now 17 years. The present age of the baby is
10. Two whole numbers whose sum is 64 can be in the ratio of ?
11. In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics.
The total number of candidates being 1,000, how many took both Physics and Mathematics?
12. The price of 7 bananas is equal to the cost of 3 kiwis. The price of 2 kiwis is equal to the cost of 1 banana and 5 chikoos. If Rambo has just enough money to buy 30 chikoos, then how many bananas Rambo could buy with the same amount?
13. 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
14. 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?
15. The average marks of a student in ten papers are 80. If the highest and the lowest score are not considered the average is 81. If his highest score is 92, what is the lowest score?
16. A train travels with a speed of 20 m/s in the first 10 minutes, goes 8.5 kms in the next 10 minutes, 11 kms in the next 10 minutes, 8.5 kms in the next 10 minutes and 6 kms in the next 10 minutes. What is the average speed of the train in km per hour for the journey described?
17. 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
18. Ajit can do as much work in 2 days as Baljit can do in 3 days and Baljit can do as much in 4 days as Diljit in 5 days. A piece of work takes 20 days if all work together. How long would Baljit take to do all the work by himself?
19. Kirti took loan of Rs. 800 at the rate of 11% per year for seven months. After seven months she has to pay
20. Number of students who have opted for the subjects A, B and C are 64, 84 and 108 respectively.
The examination is to be conducted for these students such that only the students of the same subject are allowed in one room. Also the number of students in each room must be same. What is the minimum number of rooms that should be arranged to meet all these conditions?
21. You can collect rubies and emeralds as many as you can. Each ruby is worth Rs. 4 crore and each emerald is worth of Rs. 5 crore. Each ruby weigh 0.3 kg and each emerald weigh 0.4 kg. Your bag can carry at the most 12 kg. What you should collect to get the maximum wealth?
22. Find the least number that when divided by 16, 18, and 20 leaves a remainder 4 in each case, but is completely divisible by 7.
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. A shopkeeper mixes two varieties of tea, one costing Rs. 40/kg and another Rs. 50/kg in the ratio 3 : 2. If he sells the mixed variety of tea at Rs. 48/kg, his gain or loss per cent is
25. 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?

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