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