UG-CLAT entrance exam Important Questions for Mathematics

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The age of father 10 years ago was three times the age of his son. After 10 years, father’s age is twice that of his son. The ratio of their present ages is:

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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:

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Two men and seven boys can do work in 14 days. Three men and eight boys can do the same work in 11 days. Further, eight men and six boys can do three times the amount of this work in:

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A train ‘X’ leaves station ‘A’ at 3 p.m and reaches station ‘B’ at 4.30 p. m., while another train ‘Y’ leaves station ‘B’ at 3.00 p.m and reaches station ‘A’ at 4.00 p.m. These two trains cross each other at: 

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Praveen has Rs. 4,662 in the form of 2, 5 and 10 rupee notes. If these notes are in the ratio of 3:5:8, the number of five rupees notes with him is:

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A boat travels upstream from A to B and back from B to A in 5 hours. The speed of the boat in still water is 8 km/hour and the speed of the current is 4 km/hour. Then, the distance from A to B is:

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A clock was set correct at 12 O’ clock. It loses 10 minutes per hour. What will be the angle between the hour and minute hands of the clock after one hour?

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Keerthi’s father gave him some money to buy books. He spent half of the money equally to buy books and entertaining his friends. Whatever amount left with him, he deposited half in his savings account and gave ₹ 5 to a poor person as a charity. Finally, Keerthi was left with ₹ 20 which he returned to his father. What amount did his father give him initially?

Directions: Examine the following expressions/activities/processes, and arrange them in the most logical sequence

1. Design, 2. Need, 3. Launching, 4. Research, 5. Testing, 6. Identify

The value of the expression

`((1 29/36 + 4 1/8 xx 1  7/11) ÷ (5  1/9 - 7 7/8 ÷ 9 9/20))/(3 1/5 ÷ 9/2 "of"  5 1/3)` is

The fractions `42/491, 30/313, "and"  35/367` are arranged in ascending order of magnitude as

Let x be the greatest number of 4 digits, which when divided by 15, 20 and 28 leaves in each case the remainder 2. The sum of digits of x is

A student was asked to simplify the expression: `(0.1216 xx 0.105 xx 0.0002)/(0.625 xx 0.08512 xx 0.039 xx 0.16)` his answer was `1/65.` What  is the difference between his answer and the correct answer?

When 13511, 13903 and 14589 are divided by the greatest number ‘n’, the remainder in each case is ‘m’. The value of (n + m) 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?

Reshma sells an article to Rekha at 37.5% profit, Rekha sells it to Madhu `9 1/11%` at profit. Again Madhu sells it to Mitu at 25% loss. If Mitu pays Rs.342 for the article, then what is the cost price of the article to Reshma?

The number of children in a camp is x and their average weight is 20 kg. If 5 children each weighing 12 kg, join the camp or if 10 children each weighing 21 kg leave the camp, the average weight in both the cases remains the same. The value of x is

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?

a and b are inversely proportional to each other and are positive. If a increases by 100%, then b decreases by

If a person travels at a speed of 40 km/h he will reach his destination on time. He covered half the journey in `2/3` of the time. At what speed (in km/h) should he travel to cover the remaining journey to reach the destination on time?