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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. India’s Republic Day in 1996 fell on Friday. Which week day it will be celebrated in the year 2000?
2. A man sells 5 articles for Rs. 15 and makes a profit of 20%. Find his gain or loss percent if he sells 8 such articles for Rs. 18.40.
3. In an examination, a student who secured 25% of the maximum marks fails by 60 marks but another candidate who secures 45% of the maximum marks gets 10 marks more than required passing marks. The maximum number of marks is
4. Twenty five workers were employed to complete a compound wall in 12 days. Five workers left after working for 4 days. The remaining 20 workers completed the work. In how many days the total job was completed?
5. 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?
6. In a tour, I spent every day as many ten rupee
(notes) as the number of days I had been away from the home. My total expenditure was Rs. 18,300.
How long did I stay away from the home?
7. A purse contains some coins consisting of rupees, fifty paise coins and twenty five paise coins. If coins be in the ratio of 2 : 3 : 10 and their total value is Rs. 72, the number of twentyfive paise coins will be
8. 72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be
9. In a family, the father took one-fourth of the cake and he had three times more than the others had.
The total number of family members is
10. 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?
11. A shirt was sold at a profit of 15%. If its cost had been 5% less and it had been sold for Rs. 21 less, then the profit would have been 10%. Find the cost of the shirt.
12. 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.
13. 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?
14. The number of the members of a club is increased by 10% every year. If the initial number of the members is 500, then what will be the number at the beginning of the third year?
15. 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?
16. 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?
17. 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?
18. 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
19. 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?
20. A piece of string is 40 centimetres long. It is cut into three pieces. The longest piece is 3 times as a long as the middle-sized and the shortest piece is 23 centimetres shorter than the longest piece.
Find length of the shortest piece (in cm).
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. 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. The price of an article is cut by 10%. To restore it to the original value, the new price must be increased by
24. 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?
25. A clock gains 5 minutes every hour. Then the angle traversed by the seconds hand in one minute will be

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