UG-CLAT entrance exam Question Bank Solutions

If 289 = `17^(x/5)`, then x = ?

Find the value of `root(3)(2744)` ÷ 7

81^2.5 × 9^4.5 ÷ 3^4.8 = 9^?

If a^2x+2 = 1, where a is a positive real number other than 1, then x =? 

Evaluate (0.00032)^2/5

`(32/243)^(-3/5)` = ?

`1/(sqrt9-sqrt8) - 1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5)+1/(sqrt5-sqrt4) = ?`

`sqrt(56+sqrt(56+sqrt(56+...)))÷ 2^2` = ?

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60 kg of an alloy X is mixed with 100 kg of an alloy Y. If alloy X has lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio of 1:4, then the amount of tin in the new alloy is

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A vessel contains a mixture of milk and water in the ratio of 5:3 respectively. How much of the mixture must be siphoned off and replaced with water, so that the mixture may be half milk and half water?

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Gold and copper are as heavy as water by 19 and 9 times respectively. The ratio in which these two metals be mixed so that the mixture is 17 times as heavy as water is:

The difference between Simple Interest and Compound Interest on Rs. 500 for 1 year at 10% per annum, reckoned half-yearly is

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The difference between simple interest and compound interest at the same rate for rupees 5,000 for two years is rupees 98. The rate of interest is:

A sum amounts to Rs. 9680 in 2 years and to Rs. 10648 in 3 years respectively at compound interest. What will be the amount of the same sum `1  2/5` is invested for years at the same rate of compound interest?

Ram borrows Rupees 520 from Govind at a simple interest of 13% per annum. What amount of money should Ram pay to Govind after six months to be absolved of the debt?

The difference between the simple interest and the compound interest (compounded annually) on ₹2000 for 2 yr at 8% per annum will be

A person borrows ₹ 5000 for 2 yr at 4% per annum simple interest. He immediately lends it to another person at `6 1/4` per annum for 2 yr. Find his gain in the transaction per year.

What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 yr and that for 9 yr?

Reena took a loan of ₹1200 with simple interest for as many years as the rate of interest. If she paid ₹432 as interest at the end of the loan period, what was the rate of interest?

Mr. Thomas invested an amount of ₹13900 divided in two different Schemes A and B at the simple interest rate of 14% per annum and 11% per annum, respectively. If the total amount of simple interest earned in 2 yr be ₹3508, what was the amount invested in Scheme B?