Mixture and Alligation CUET General Test MCQs

Question: A mixture of 20 kg of spirit and water contains 10% water. After adding a certain amount of water, the weight of the new mixture is 25 kg. What is the percentage of water in the new mixture?
a) 18
b) 28
c) 12.5
d) 15

Answer: b

Question: Raghav buys milk at a certain price and after mixing it with water sells it again at the same price. How many of water he mixes in a litres of milk, if he makes a profit of 20%?
a) 200 mL
b) 250 mL
c) 150 mL
d) 20 mL

Answer: a

Question: 60 kg of a certain variety of rice at Rs 32 per kg is mixed with 48 kg of another variety of rice and the mixture is sold at the average price of Rs 28 per kg. If there be no profit or loss due to the new sale price, then the price of the second variety of rice is
a) Rs 25.60 per kg
b) Rs 25 per kg
c) Rs 23 per kg
d) Rs 30 per kg

Answer: c

Question: A man buys milk at a certain price per litre and after mixing it with water sells it again at the same price. How many of water does he mix in every litre of milk if he makes a profit of 25%?
a) 250 mL
b) 200 mL
c) 150 mL
d) 30 mL

Answer: a

Question: A drum contain 20 L of a paint. From this 2 L of paint is taken out and replaced by 2 L of oil. Again 2 L of this mixture is replaced by 2 L of oil. If the operation is performed once again, then final ratio of the paint and the oil in the drum would be
a) 729 : 271
b) 172 : 279
c) 3 : 7
d) 217 : 972

Answer: a

Question: A container is filled with liquid, 6 part of which are water and 10 part milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk?
a) 1/3
b) 1/7
c) 1/5
d) 1/8

Answer: c

Question: A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel become 1 : 1?
a) 1/4
b) 1/3
c) 1/2
d) 2/3

Answer: a

Question: Pure ghee costs Rs 100 per kg. After adulterating it with vegetable oil costing Rs 50 per kg. A shopkeeper sells the mixture at Rs 96 per kg, thereby making a profit of 20%. In what ratio does he mix the two?
a) 1: 2
b) 3 : 2
c) 3 : 1
d) 2 : 3

Answer: b

Question: Atul bought 30 kg of rice at Rs 8.50 per kg and 20 kg of rice at Rs 8.00 per kg. If he has to make a 20% profit, at approximately, what rate per kg should he sell the rice?
a) Rs 10.00
b) Rs 12.00
c) Rs 8.50
d) Rs 8.00

Answer: a

Question: Several litres of acid were drawn off a 54 L vessel full of acid and an equal amount of water added. Again the same volume of the mixture was drawn off and replaced by water. As a result, the vessel contained 24 L of pure acid. How much of the acid was draw off initially?
a) 12 L
b) 16 L
c) 18 L
d) 24 L

Answer: c

Question: By mixing two different quantities of pulses in the ratio 2 :​​​​​​​ 3 and selling the mixture at the rate of Rs 22 per kg a shopkeeper makes a profit of 10%. If the cost of the smaller quantity be Rs 14 per kg, then the cost per kg of the larger quantity is
a) Rs 23
b) Rs 24
c) Rs 25
d) None of the above

Answer: b

Question: Two types of oils having the rates of Rs 4 per kg and Rs 5 per kg respectively are mixed in order to produce a mixture having the rate of Rs 4.60 per kg. What should be the amount of the second type of oil if the amount of the first type of oil in the mixture is 40 kg?
a) 75 kg
b) 50 kg
c) 60 kg
d) 40 kg

Answer: c

Question: There are three containers of equal capacity. The ratio of sulphuric acid to water in the first container is 3 :​​​​​​​ 2, that in the second container is 7 :​​​​​​​ 3 and in the third container 11:4. If all the liquids are mixed together, then the ratio of sulphuric acid to water in the mixture will be
a) 61 :​​​​​​​ 29
b) 61 :​​​​​​​ 28
c) 60 :​​​​​​​ 29
d) 59 :​​​​​​​ 29

Answer: a

Question:400 students took a mock exam in Delhi 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?
a) 100
b) 120
c) 150
d) 300

Answer: a

Question: In what proportion must tea at Rs 62 per kg be mixed with tea at Rs 72 per kg in order to obtain the mixture worth Rs 65 per kg?
a) 4 : 6
b) 7 : 3
c) 2 : 3
d) 4 : 7

Answer: b

Question: A shopkeeper has 50 kgs of rice. He sells a part of it at 20% profit and the rest at 40% profit. If he gains 25% on the whole, find the quantity of each part.
a) 12.5 kgs and 37.5 kgs
b) 37.5 kgs and 12.5 kgs
c) 23.5 kgs and 21.5 kgs
d) 21.5 kgs and 23.5 kgs

Answer: b

Question: Two vessels A and B contain mixture of milk and water in the ratio 4 : 1 and 9 : 11 respectively. They are mixed in the ratio of 3 : 2. Find the ratio of milk : water in the resulting mixture.
a) 34 : 16
b) 33 : 17
c) 16 : 34
d) 17 : 33

Answer: b

Question: A shopkeeper buys 26 kgs of milk @ Rs 16 per kg. He also buys from another source an inferior quality of milk @ Rs 10 per kg. How much quantity of the latter should he buy to mix it with the former so that he can sell the mixture @ Rs 14 per kg without making any loss?
a) 13 kgs
b) 12 kgs
c) 14 kgs
d) 16 kgs

Answer: a

Question: A person has two solutions of sugar with 30% and 50% concentration respectively. In what proportion should he mix two solutions to get 45% concentration in the resulting mixture?
a) 1 : 3
b) 3 : 1
c) 2 : 3
d) 3 : 2

Answer: a

Question: Find the quantity of rice @ Rs 10 per kg. which should be mixed with 25 kgs of rice @ Rs 8 per kg, so that on selling the mixture @ 15 per kg there is 80% profit.
a) 6 kgs
b) 7 kgs
c) 3 kgs
d) 5 kgs

Answer: d

Question: 6 litres of milk and water mixture has 75% milk in it. How much milk should be added to the mixture to make it 90% pure?
a) 8 litres
b) 9 litres
c) 10 litres
d) 12 litres

Answer: b

Question: In what ratio must water be added to spirit to gain 25% by selling it at cost price?
a) 1 : 4
b) 4 : 1
c) 3 : 4
d) 4 : 3

Answer: a

Question: A shopkeeper has 100 kgs of tea He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part.
a) 20 kgs
b) 25 kgs
c) 30 kgs
d) 40 kgs

Answer: d

Question: A merchant has 160 kgs of wheat. He sells a part of it at 10% profit and the rest of 6% loss. If he incurs 4% loss on the whole, find the quantity for each part.
a) 120 kgs
b) 140 kgs
c) 150 kgs
d) 160 kgs

Answer: b

Question: A man bought a certain quantity of sugar for Rs 8000. He sells one-fourth of it at 20% loss. At what per cent profit should he sell the remainder stock so as to make an overall profit of 20%?
a) 20%
b) 30%
c) 35%
d) 40%

Answer: b

Question: A sum of Rs 70 is divided among 10 children. Each boy gets Rs 10 whereas a girl gets Rs 5. If the number of boys is 4, find the number of girls.
a) 6
b) 7
c) 8
d) 9

Answer: a

Question: A person covers a dista2nce of 100 kms in 10 hours, partly by walking at 7 km/hr and rest by running at 12 km/hr. Find the distance covered in each part.
a) 48 kms
b) 72 kms
c) 108 kms
d) 124 kms

Answer: b

Question: Two vessels A and B contain milk and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio mixtures from two vessels should be mixed to get a new mixture containing milk and water in the ratio 5 : 3?
a) 1 : 2
b) 2 : 1
c) 2 : 3
d) 3 : 2

Answer: b

Question: The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs 3000. The average salary of an officer is Rs 10,000 while that of a worker is Rs 2000 per month. If there are total 400 employees in the organisation, find the number of officers and workers separately.
a) 300, 100
b) 50, 350
c) 250, 150
d) 310, 90

Answer: b

Question: The average daily wages of staff, consisting of supervisors and labourers, of a company is Rs 50. The average wages of supervisors is Rs 150 while that of labourers is Rs 40 per day. If the number of supervisors is 15, find the number of labourers in the company.
a) 150
b) 175
c) 180
d) 200

Answer: a

Question: Rs 675 was divided among 75 boys and girls. Each boy gets Rs 20 whereas a girl gets Rs 5. Find the number of boys and girls.
a) 20, 55
b) 15, 60
c) 25, 50
d) 30, 45

Answer: a

Question: From a cask of wine containing 25 litres, 5 litres are withdrawn and the cask is refilled with water. The process is repeated a second and then a third time. Find the quantity of wine left in the cask and also the ratio of wine to water in the resulting mixture.
a) 61 : 64
b) 16 : 46
c) 46 : 16
d) 64 : 61

Answer: d

Question: A person has Rs 5000. He invests a part of it at 3% per annum and the remainder at 8% per annum simple interest. His total income in 3 years is Rs 750. Find the sum invested at different rates of interest.
a) Rs 2000 and Rs 3000
b) Rs 2500 and Rs 2500
c) Rs 3000 and Rs 2000
d) Rs 2750 and Rs 2250

Answer: c

Question: A vessel contains 80 litres of milk. 16 litres of milk was taken out of the vessel and replaced by water. Then 16 litres of mixture was withdrawn and again replaced by water. The operation was repeated for third time. How much milk is now left in the vessel?
a) 96.40 litres
b) 50.36 litres
c) 40.96 litres
d) 32.76 litres

Answer: c