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.?

Question

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.?

Statement II and III are sufficient to answer the question.
Statement I and II are sufficient to answer the question.
Either statement I or III and statement II are sufficient to answer the question.
Either statement II or III and statement I are sufficient to answer the question.
All the statements are required to answer the question.

LohaHridoy

6 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 4 : 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.