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The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A diluted alcohol solution has 8 litres of alcohol and the rest is water. Find the amount of this solution which should be replaced with pure alcohol. Statement I: A new solution which has 30% alcohol concentration is to be formed. Statement II: The amount of final mixture is 40 litres. Statement III: The amount of water in the initial mixture was 32 litres.

The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. A diluted alcohol solution has 8 litres of alcohol and the rest is water. Find the amount of this solution which should be replaced with pure alcohol. Statement I: A new solution which has 30% alcohol concentration is to be formed. Statement II: The amount of final mixture is 40 litres. Statement III: The amount of water in the initial mixture was 32 litres. Correct Answer Either statement II or III and statement I are sufficient to answer the question.

Statement II and III provide the same information that the amount of water in the initial mixture was 32 litres;

Alcohol = 8 litres and water = 32 litres;

∴ Initial concentration of alcohol = 8/40 = 20%

Statement I: A new solution which has 30% alcohol concentration is to be formed.

∴ Final concentration of alcohol = 30%

∴ We can find the amount of mixture with 20% concentration of alcohol that should be replaced with 100% pure alcohol to get a mixture having 30% alcohol.

∴ Either statement II or III and statement I are sufficient to answer the question.

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