Question

For what values of C, 76C ÷ 5 leaves remainder 2?

• A. C = 2
• B. C = 3
• C. C = 7
• D. C = 4

Answer 1

Answer: (A), (C)

The correct options are
A C = 2
C C = 7

Divisibility of 5 states that a number is divisible by 5 if it has 0 or 5 in its ones place.

76C is divisible by 5 if C = 0 or 5
Since, it leaves a remainder 2, C = 0 + 2 or 5 + 2.
$\Rightarrow$ C = 2 or 7
$\therefore$ For C = 2 and 7, 76C $÷$ 5 will leave remainder 2.