Question

When an integer n is divided by 8, the remainder is 3. What will be the remainder if 6n – 1 is divided by 8?

• A. 1
• B. 4
• C. 2
• D. 0

Answer 1

Answer:

A. 1

When an integer n is divided by 8, then remainder is 3

Let the value of n be 11 which satisfied the condition.

According to the question

⇒ (6n – 1) $\div$ 8

⇒ (6 × 11 – 1) $\div$ 8

⇒ (66 – 1) $\div$ 8

⇒ 65 $\div$ 8

Remainder will be 1