CSATData Interpretation & SufficiencyArithmetic of Prime Numbers2024

A Question is given followed by two Statements I and II. Consider the Question and the Statements. There are three distinct prime numbers whose sum is a prime number. Question : What are those three numbers? 1. Statement-I : Their sum is less than 23. 2. Statement-II: One of the numbers is 5. 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

First, we establish the properties of the three numbers using Parity Logic [59]. We need

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