Consider the following statements in respect of the sum $S = x + y + z$, where $x$, $y$ and $z$ are distinct prime numbers each less than 10: 1. The unit digit of $S$ can be 0. 2. The unit digit of $S$ can be 9. 3. The unit digit of $S$ can be 5. Which of the statements given above are correct?

QUESTION

CSAT

Easy

Maths

Prelims 2024

Consider the following statements in respect of the sum $S = x + y + z$ , where $x$ , $y$ and $z$ are distinct prime numbers each less than 10:

Which of the statements given above are correct?

Select an option to attempt

Explanation

The distinct prime numbers less than 10 are: 2, 3, 5, and 7.

We will check all possible sums of three distinct primes to find all the possible value of unit digit.

Therefore, the unit digit of S can be 0 and 5 but not 9.

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