CUET (UG) entrance exam Question Bank Solutions

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 If 10 litres solution is withdrawn from vessel and B is added to its in equal quantity then ratio of their quantities becomes 10 : 11.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?

Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?

A 20 litre mixture contains milk and water in the respective ratio of 3 : 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?

fn a certain code language, 'CLASS' is written as 'TTBMD'. How will 'DINOSOUR' be written in that language?

If CLOCK is coded as 34235 and TIME as 8679, what will be the code for MOLEK? 

In a certain code DELIBERATION is written as NOITAREBILED how would INFIRMITY be written?   

In a code language. PINK is written as QHOJ and BOLT are written as CNMS. How would be MUST be written in that code? 

In a certain code, MEADOWS is written as RVNENFB. How are PRIESTS written in that code? 

In a certain code, STREAMLINE is written as BFSUTDMHKL. How is SCIENTIFIC written in that code?