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UG-CLAT entrance exam Question Bank Solutions for Mathematics

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Mathematics
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A shop gives 15% discount on the purchase of a T.V. If paid for in cash immediately, a further discount of 12% is given. If the marked price is Rs. 15,000, what is the price of the T.V if cash purchase is made?

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A man buys Rs. 20 shares paying 9% dividend. The man expects to have an interest of 12% on his money. The market value of each share is:

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A man earns ₹ 20 on the first day and spends ₹15 on the next day. He again earns ₹20 on the third day and spends ₹15 on the fourth day. If he continues to save in this way, how soon will he have ₹60 in hand?

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The value of a machine depreciates every year at the rate of 10% on its value at the beginning of that year. If the present value of the machine is Rs. 729, its worth three years ago was:

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A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days, she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

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The Banker’s discount on a sum of money for 18 months is Rs. 600 and the true discount on the same sum for 3 years are Rs. 750/­. The rate percentage is:

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In a 120 litre of solution of Acid and water, acid is 75%. A person takes out 20 litres of this solution and added 16.2 litres of acid and 3.8 litres of water in the remaining solution. What is the percentage of water in the final solution?

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A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water maybe 20% in the new mixture.

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The length of a square is increased by 15% and breadth decreased by 15%. The area of the rectangle so formed is

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Ram’s income is 20% less than Shyam’s. How much is Shyam’s income more than Ram’s in percentage terms?

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The population of a town is 155625. Forever, 1000 males, there are 1075 females. If 40% of the males and 24% of the females are literate, find the percentage of literacy in the town.

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A customized jewellery was sold at ₹1000 with a 90% discount on the ‘making charges’. If the payment made for making charges was ₹100, what was the approximate rate of discount on the product?

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If 0.06% of a number is 84, then 30% of that number is

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Out of the total income, X spends 20% on house rent and 70% of the remaining amount on household expenditure. If X saves ₹1800, the total income is

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The population of a city is 250 thousand. It is increasing at a rate of 2% every year. The growth in the population after 2 years is:

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If 80% of A = 20% of B and B = 5x% of A, then the value of x is

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Three candidates contested an election and received 1136, 7636 and 11628 votes, respectively. What percentage of the total votes did the winning candidate get?

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Two tailors X and Y are paid a total of ₹ 550 per week by their employer. If X is paid 120% of the sum paid to Y. Then, how much is Y paid per week?

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Rajeev buys good worth ₹ 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

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The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is

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