Consider the following in respect of prime number p and composite number c. 1. $\frac{(p + c)}{(p - c)}$ can be even. 2. $2p + c$ can be odd. 3. $pc$ can be odd. Which of the statements given above are correct?

QUESTION

CSAT

Easy

Maths

Prelims 2023

Consider the following in respect of prime number p and composite number c.

Which of the statements given above are correct?

Select an option to attempt

Explanation

Let's place some numbers in place of p and c in the given expressions and check them out.

Statement 1: $(p + c)/(p - c) = (11 + 9)/(11 - 9) = \frac{20}{2} = 10$ (an even number)

So, statement 1 is correct.

Statement 2: $2p + c = (2 \times 3) + 9 = 15$ (an odd number)

So, statement 2 is correct.

Statement 3: $pc = 3 \times 9 = 27$ (an odd number)

So, statement 3 is correct.

Hence, option D is correct.

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