For five children with ages a lt b lt c lt d lt e any two successive ages differ by 2 years Question...........

Math and Mental Ability Problems based on Ages

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For five children with ages a

Statement-1. The age of the eldest is 8 times the youngest.

Statement-2: The average age of the children is 8 years.

Which one of the following is correct in respect of the above Question and the Statements?

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Complete-Test, Previous year (2023)

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The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.

The Question can be answered by using either Statement alone.

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

The Question cannot be answered even by using both the Statements together.

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Explanation:

- Statement-1 tells us the age of the eldest child (e) is 8 times the youngest child (a). With the difference between successive ages being 2 years, we can set up an equation: \(e = a + 8\). From this, we can solve to find \(a\).

- Statement-2 gives us the average age of the children as 8 years. We can set up another equation: \((a + (a+2) + (a+4) + (a+6) + (a+8))/5 = 8\). Solving this will yield the value of \(a\).

- Option:1 suggests one statement is enough, which is true as either statement alone allows us to find the age of the youngest child.

- Option:2 suggests both statements are independently sufficient, which aligns with our findings.

- Option:3 requires both statements, which is not needed here.

- Option:4 suggests insufficiency of both statements even together, which is incorrect.

- Option:2, The Question can be answered by using either Statement alone.