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Quantitative Aptitude: Mixture & Alligation Questions For SBI Clerk & Upcoming Bank Exams

Ques 1. In a mixture of milk and water, the proportion of water by weight was 75%. If in the 60 gms mixture 15 gms water was added, what would be the percentage of water in the new mixture?
(1) 75%
(2) 88%
(3) 90%
(4) 100%
(5) None of these

Ques 2. 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?
(1) 12
(2) 12.50
(3) 13
(4) 13.50
(5) 13.25
Ques 3. In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added, so that the proportion of iron becomes 5%?
(1) 3 kg
(2) 4 gms
(3) 5 gms
(4) 6 kg
(5) None of these
Ques 4. The wheat sold by a grocer contained 10% low quality wheat. What quantity of good quality wheat should be added to 150 kgs of wheat so that the percentage of low quality wheat becomes 5%?
(1) 150 kgs
(2) 135 kgs
(3) 50 kgs
(4) 85 kgs
(5) None of these
Ques 5. When one litre of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one litre of acid is added to the new mixture, then the resulting mixture contains 100/3 % acid. The percentage of acid in the original mixture was
(1) 20%
(2) 22%
(3) 24%
(4) 25%
(5) 23%
Ques 6. A grocer purchased 2 kg. of rice at the rate of Rs. 15 per kg. and 3 kg. of rice at the rate of Rs. 13 per kg. At what price per kg should he sell the mixture to earn 100/3 % profit on the cost price?
(1) Rs. 28.00
(2) Rs. 20.00
(3) Rs. 18.40
(4) Rs. 17.40
(5) None of these
Ques 7. Two barrels contain a mixture of ethanol and gasoline. The content of the ethanol is 60% in the first barrel and 30% in the second barrel. In what ratio must the mixtures from the first and the second barrels be taken to form a mixture containing 50% ethanol?
(1) 1 : 2
(2) 2 : 1
(3) 2 : 3
(4) 3 : 2
(5) None of these
8. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
(1) 5 litres, 7 litres
(2) 7 litres, 4 litres
(3) 6 litres, 6 litres
(4) 6 litres, 5 litres
(5) 4 litres, 8 litres

Ques 9. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be:
(1) 5 : 7
(2) 5 : 9
(3) 7 : 5
(4) 9 : 5
(5) None of these
Ques 10. A container has 30 litres of water. If 3 litres of water is replaced by 3 litres of spirit and this operation is repeated twice, what will be the quantity of water in the new mixture?
(1) 24 litres
(2) 23 litres
(3) 24.3 litres
(4) 23.3 litres
(5) None of these
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