CSATData Interpretation & SufficiencyArithmetic Geometric Progression and Averages2023

For five children with ages a < b < c < d < e; any two successive ages differ by 2 years. Question: What is the age of the youngest child? 1. Statement-1: The age of the eldest is 3 times the youngest. 2. 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?

A

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

B

The Question can be answered by using either Statement alone.

C

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

D

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

Correct Answer: Option B

Explanation

Let's model the problem simply. We have 5 children. Since the gap between ages is fixed at 2 years (Arithmetic Progression), we don't have 5 random numbers. We just have one starting number (the youngest child, let's call it

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