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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. 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.
2. 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?
3. The price of an article is cut by 10%. To restore it to the original value, the new price must be increased by
4. 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?
5. Kirti took loan of Rs. 800 at the rate of 11% per year for seven months. After seven months she has to pay
6. Three maths classes: X, Y and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and average score of class Y and Z is 81. What is the average score of classes X, Y and Z?
7. 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?
8. 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?
9. Total expense of boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is
Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?
10. 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?
11. 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)?
12. 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?
13. 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
14. 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
15. 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
16. 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?
17. 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
18. In a garden, there are 8 rows and 10 columns of papaya trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
19. 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?
20. 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
21. 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
22. Two solutions of 90% and 97% purity are mixed resulting in 21 liters of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?
23. 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
24. 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?
25. 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?

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