CSATData Interpretation & SufficiencyDigits Arithmetic2024

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Age of each of P and Q is less than 100 years but more than 10 years. If you interchange the digits of the age of P, the number represents the age of Q. Question : What is the difference of their ages? 1. Statement-I : The age of P is greater than the age of Q. 2. Statement-II : The sum of their ages is 11/6 times their difference. 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 A

Explanation

1. **Setup**: We represent the age of P as $10x + y$ and Q as $10y + x$. The question asks for the difference, which PYQs tell us is always $9|x-y|$ [1, 9]. 2. **Ana

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