# Quantitative Aptitude Questions for IPPB PO Mains 2017

Q1. A vessel has 30 L of wine and 10 L of water mixture. 4L of mixture is taken out from vessel and 4 L of water is added. This process is repeated one more time. The ratio of quantity of wine is left and initial quantity of wine is
(a) 80 : 92
(b) 81 : 100
(c) 45 : 47
(d) 89 : 91
(e) None of these

Q2. There are two vessels A and B. Vessel A is containing 40L of pure milk and vessel B is containing 22L of pure water. From vessel A, 8L of milk is taken out and poured into vessel B. Then, 6L of mixture (milk and water) is taken out from vessel B and poured into vessel A. What is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B?
(a) 14 : 9
(b) 21 : 11
(c) 24 : 13
(d) 14 : 5
(e) 21 : 13

Q3. In two vessels A and B, there is mixture of milk and water. The ratio of milk and water in these vessels is 5 : 2 and 8 : 5, respectively. In what ratio these mixtures be mixed together, so that the ratio of milk and water in the new mixture becomes 9 : 4?
(a) 7 : 2
(b) 2 : 7
(c) 3 : 5
(d) 5 : 3
(e) 7 : 9

Q4. 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 from a third alloy C, the ratio of gold and copper in C will be
(a) 5 : 7
(b) 5 : 9
(c) 7 : 5
(d) 9 : 5
(e) None of these

Q5. 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
(a) 20%
(b) 22%
(c) 24%
(d) 25%
(e) None of these

Q6. 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 be mixtures from the first and the second barrels be taken, to from a mixture containing 50% ethanol?
(a) 1 : 2
(b) 2 : 1
(c) 2 : 3
(d) 3 : 2
(e) None of these

Q7. In a mixture of milk and water, the proportion of water by weight was 75%. If in the 60 gm mixture, 15 gm water was added, what would be the percentage of what in the new mixture?
(a) 75%
(b) 88%
(c) 90%
(d) 100%
(e) None of these

Q8. The wheat sold by a grocer contained 10% low quality wheat. What quantity of good quality wheat should be added to 150 kg of wheat, so that the percentage of low quality wheat becomes 5%?
(a) 150 kg
(b) 135 kg
(c) 50 kg
(d) 85 kg
(e) None of these

Q9. 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%?
(a) 3 kg
(b) 4 gm
(c) 5 gm
(d) 6 kg
(e) None of these

Q10. 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% profit in the transaction?
(a) 12
(b) 12.50
(c) 13
(d) 13.50
(e) 11

Q11. 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?
(a) Rs. 28.00
(b) Rs. 20.00
(c) Rs. 18.40
(d) Rs. 17.40
(e) None of these

Q12. A container has 30 L of water. If 3L of water in replaced by 3L of spirit and this operation is repeated twice. What will be the quantity of water in the new mixture?
(a) 24L
(b) 23L
(c) 24.3L
(d) 23.3L
(e) None of these

Q13. Three container A, B and C have the mixture of alcohol and water in the ratio 5 : 7, 7 : 2 and 3 : 5, respectively. If all mixture of all three vessels poured into a single vessel, then ratio of total quantity of alcohol and water will be
(a) 107 : 105
(b) 103 : 105
(c) 111 : 113
(d) 113 : 103
(e) None of these

Q14. Two bottles each capacity has 5L have mixture of milk and water in the ratio 2 : 1 and 3 : 1, respectively. If both bottles are emptied into a bigger vessel, then the ratio of milk to water in bigger vessel is
(a) 17 : 5
(b) 17 : 7
(c) 15 : 17
(d) 18 : 7
(e) None of these

Q15. In a 140L of mixture of milk and water percentage of water is only 30%. This milkman gave 20L of this mixture to a customer. Then, the added equal quantities of pure milk and water to the remaining mixture. As a result the respective ratio of milk and water in the mixture become 2 : 1. What was the quantity of milk added?
(a) 12L
(b) 16L
(c) 18L
(d) 8L
(e) 10L