CUET (UG) entrance exam Question Bank Solutions for General Test

In a mixture of milk and water of 120 litres, the ratio of milk to water is 2 : 1. lf the ratio of milk to water needs to be 1 : 2, then the amount of water that needs to be added to the mixture is:

A mixture contains alcohol and water in the ratio of 5 : 4. If 9 litres of water is added to the mixture, the ratio of alcohol to water becomes 4 : 5. Find the quantity of alcohol in the mixture.

If two litres of water is evaporated from a 5 litre solution containing 3% salt, then what is the percentage of salt in the remaining solution?

In a certain code language, if GLOWING is written as GGILNOW, then how will OBVIOUS be written as in the same code language?

In a certain code language, if GLAMOUR is written as AGLMORU, then how will RUTTING be written in the same code language?

ln a certain code language, 'FOSTER' is written as '36' and 'DANCE' is written as '25'. How will 'ORCHARD' be written in that language?

An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this al- loy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

In what ratio, sugar costing ₹ 60 per kg be mixed with sugar costing ₹ 42 per kg such that by selling the mixture at ₹ 56 per kg there is gain of 12%?

A jar contained a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar, this ratio became 2 : 3. The quantity of liquid A contained in the jar initially was

A vessel contains solution of two liquids A and B whose ra- tio is 5 : 3. If 10 litres solution is withdrawn from vessel and B is added to its in equal quantity then ratio of their quantities becomes 10 : 11. The quantity of solution in vessel is:

The ratios of copper to zinc in alloys A and B are 3 : 4 and 5 : 9 respectively. A and B are taken in the ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to zinc in C?

A trader mixed 5 kg of rice of superior quality with inferior quality of rice costing ₹ 35 per kg. He earns 20% by selling mixture of the two qualities. Find the price of superior quality of rice (per kg).

A mixture of 12 kg of wheat flour costing ₹ 16 per kg and four kg of corn flour costing ₹ 2 per kg is sold at ₹ 16 per kg. What is the profit made in selling 40 kg of the mixture?

A man buys spirit at ₹ 60 per litre, adds water to it and then sells it at ₹ 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?

A man purchased 35 kg of rice at the rate of Rs. 9.50 per kg and 30 kg at the rate of Rs. 10.50 per kg. He mixed the two. Approximately, at what price (in Rupees) per kg should he sell the mixture to make 35 per cent profit in the transaction?

A man purchased 35 kg of rice at the rate of Rs. 9.50 per kg and 30 kg at the rate of Rs. 10.50 per kg. He mixed the two. Approximately, at what price (in Rupees) per kg should he sell the mixture to make 35 per cent profit in the transaction?

A vessel contains, 64 litres of mixture of milk and water in the ratio 7 : 3 respectively. 8 litres of mixture is replaced by 12 litres of milk. What is the ratio of milk and water in the resulting mixture?

A vessel contains a mixture of Grape, Pineapple and Banana juices in the respective ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel? (in litres)

In 64 litres of mixture of wine and water, the ratio of wine and water is 3 : 1. Find the quantity of water required to make the ratio of wine and water 2 : 1.

The ratio of boys to girls in a class is 2 : 3. The average weight of boys is 30 kg and the average weight of girls is 28 kg. What is the average weight of the entire class?