QUESTION

CSAT

Easy

Maths

Prelims 2023

Let x be a positive integer such that $7x + 96$ is divisible by x. How many values of x are possible?

Select an option to attempt

Explanation

$7x + 96$ is divisible by $x$ . It means that $96$ is divisible by $x$ , or $x$ is a factor of $96$ . $96 = 2^5 \times 3$

So, $x$ can be $1, 3, 2, 4, 8, 16, 32, 6, 12, 24, 48$ , and $96$ . So, a total of $12$ possible values.

Hence, option (C) is correct.

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