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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. 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
2. Amar is twice as fast as Rohit and Rohit is thrice as fast as Chanda is. The journey covered by Chanda in 42 minutes will be covered by Amar in
3. The sum of ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother’s age at that time. The present age of the mother is
4. 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?
5. Ten points are marked on a straight line and 11 points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?
6. A company declares a dividend of 12% on Rs. 100 shares? A housewife buys such shares and gets 15% on her investment. At what price she bought the shares?
7. Kirti took loan of Rs. 800 at the rate of 11% per year for seven months. After seven months she has to pay
8. 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
9. Amar and Akbar left Bhubaneshwar simultaneously and traveled towards Cuttack. Amar’s speed was 15 km/h and that of Akbar was 12 km/h. Half an hour later, Anthony left Bhubaneshwar and traveled in the same direction. Some time later, he overtook Akbar and 90 minutes further on and he overtook Amar. Find Anthony’s speed.
10. A’s salary is first increased by 25% and then decreased by 20%. The result is the same as B’s salary increased by 20% and then reduced by 25%. Find the ratio of B’s salary to that of A’s?
11. A bag contains 5 red, 4 green, and 3 black balls. If three balls are drawn out of it at random, find the probability of drawing exactly 2 red balls.
12. 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?
13. 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?
14. A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn up for the work and the remaining workers did the work in 40 days, then the original number of workers was
15. 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?
16. 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?
17. 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?
18. The average age of A, B and C is 25 years. The ratio of their ages is 3 : 5 : 7. Find the age of A.
19. 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?
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 man covers a certain distance between his house and office on a Scooter. Having an average speed of 30 km/hr, he reaches office late by 10 minutes. However, with a speed of 40 km/hr, he reaches his office 5 minutes earlier. The distance between his house and office is
22. Five boys and three girls are sitting in a row of eight seats. In how many ways can they be seated so that not all girls sit side by side?
23. 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?
24. The value of a car depreciates every year at the rate of 10% on its value at the beginning of the year. If the present value of the car is Rs. 52,488, its worth four years ago was
25. 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.

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