UG-CLAT entrance exam Question Bank Solutions

Seats for Mathematics, Physics, and Biology in a school are in the ratio 5 : 7: 8. There is a proposal to increase these seats by 40%, 50% and 75%, respectively. What will be the ratio of increased seats?

The ratio of ages of Ram and Gopal is 2 : 5 and the ratio of the ages of Gopal and Vishnu is 3 : 4. What would be the ratio of the ages of Ram, Gopal, and Vishnu?

The sum of the three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is

A sum of money is to be distributed among A, B, C and D in the proportion of 5 : 2 : 4 : 3. If C gets ₹1000 more than D, what is B's share?

A, B and C enter into a partnership in the ratio `7/2:4/3:6/5`. After 4 months, A increase in his share 50%. If the total profit at the end of one year be ₹21600, then B's share in the profit is

At the beginning of a partnership business, the capital of B was `3/2` times that of A. After 8 months B withdrew `1/2` of his capital and after 10 months A withdrew `1/4`of his capital. At the end of the year, if the profit incurred is ₹53000 find the amount received by A.

Two partners invest ₹125000 and ₹85000, respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be treated as interest on capital. If one partner gets ₹600 more than the other, find the total profit made in the business.

In a mixture of 60L, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is

4 L is drawn from a container full of milk and then is filled with water. This operation is performed three more times. The ratio of the quantity of milk left in the container and that of water is 16 : 65. How much milk did the container hold initially?

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 L of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7: 9. How many litres of liquid A was contained by the can initially?

Tea worth ₹126 per kg and ₹135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth ₹153 per kg, the price of the third variety per kg will be

How many kilograms of sugar costing ₹9 per kg must be mixed with 27 kg of sugar costing ₹7 per kg so that there may be a gain of 10% by selling the mixture at ₹9.24 per kg?

Find the ratio in which rice at ₹7.20 per kg, be mixed with rice at ₹5.70 per kg to produce a mixture worth ₹6.30 per kg.

Simran started a software business by investing ₹50000. After six months, Nanda joined her with a capital of ₹80000. After 3 years, they earned a profit of ₹24500. What was Simran's share in the profit?

A, B, C subscribe ₹50000 for a business. A subscribes ₹4000 more than B and B ₹5000 more than C. Out of a total profit of ₹35000, A receives

Akbar will turn 50 when his son Jehangir turns 18. What will be Akbar's age when it will be exactly 5 times that of Jehangir?

Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her average by 5. After the 18th inning, her average is:

Kiran‘s brother is 5 years older than her. Her father was 30 years old when Kiran's sister was born, while her mother was 28 years old when Kiran was born. If Kiran's sister was 2 years old when her brother was born, what was the age of their father when Kiran's brother was born?

The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average age of the remaining boys in the class?