Exams › IBPS PO › Quantitative Aptitude

Two mixtures P and Q are in the ratio 3:2 respectively. Mixture P contains $a\%$ milk and $b\%$ water, and mixture Q contains $d\%$ milk and $e\%$ water. If mixture Q is mixed with mixture P, then the final quantity of milk becomes 23% of the total mixture. To find the final quantity of milk, which statement(s) is/are necessary? (Given that $a+d=45$.) (I) $a-d=10$ (II) Initial quantity of mixture P is 60 liters, out of which 15 liters is milk. (III) If 15 liters of the mixture is taken out from mixture P and mixed with mixture Q, then the total quantity of water in mixture Q becomes 40 liters. A) Only (I) & (III) B) Only (II) C) Only (II) & (III) D) Only (III) E) Only (I)

1. Only (I) & (III)
2. Only (II)
3. Only (II) & (III)
4. Only (III)
5. Only (I)

Correct answer: Only (II) & (III)

Solution

The final milk percentage depends on the milk content of both mixtures and their quantities. Statement (II) fixes the composition of P, and statement (III) provides enough information to determine the composition of Q as well. Together they are sufficient, while the other statements alone are not.

Related IBPS PO Quantitative Aptitude questions

• Two jars, A and B, both contain 20% milk. The quantity in jar A is 4 times that of jar B. The mixtures in both jars are mixed to form a new mixture C, and 15 litres of water is added. The final ratio of water to milk is now 19:4. What is the initial quantity of milk in jar B?
• A vessel has 200 litres of milk and 40 litres of water. If _____ litres of mixture is taken from the vessel and _____ litres of water is added to the remaining mixture, then the final amount of milk in the vessel becomes 125 litres more than the amount of water in it. Which of the following integral values given in the options are possible in the blanks in the same order?
• A mixture contains milk and water. Water is 20% of the mixture. Follow the steps in the given order: I. \(b\) liters of water are added, and the percentage of water in the mixture becomes 25%. II. \(b\) liters of mixture is removed. III. \(1.5b\) liters of milk are added. Find the final quantity of the mixture after completing these three steps.
• There are three vessels P, Q, and R. Vessels P and Q are filled with mixtures of milk and water in the ratios 5:4 and 5:3, respectively. 25% of the mixture from vessel P is taken out and mixed in vessel R, which contains 45 L of pure milk. If in the resulting mixture, the quantity of milk in vessel R is 250% more than the quantity of water, and the initial quantity of mixture in vessel Q is 20 L less than that of vessel P, then find the quantity of milk in vessel Q.
• A person mixed milk and water in two containers in the ratios 3:4 and 5:6 respectively. He then mixed both mixtures in a third container, and the ratio of milk to water in the resultant mixture becomes 4:5. The total quantity of the mixtures is 18 litres. Find the quantity of milk in the first container.
• A vessel with a capacity of 108 litres is full of pure milk. \(X\) litres of milk is taken out and replaced with water. Again, \(X\) litres of the mixture is taken out and replaced with water. Now the vessel contains only 48 litres of milk. What is the value of \(X\)?

⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →