Question

If 5 divided the integer n, the remainder is 2. What will be remainder if 7n is divided by 5?

• A. 3
• B. 4
• C. 1
• D. 2

Answer 1

Answer:

B. 4

Let n = 7, then condition satisfied.

Hence, 7n = 7 $\times$ 7 = 49

Now, 49 $\div$ 5, then remainder is 4.

Alternate Method:

Let the number be 5x.

Then, The integer n = 5x + 2

Take x = 1 

Then, n = 7

The value of 7n = 49

49 divided by 5 leaves the remainder 4

∴ 4 is the remainder if 7n is divided by 5.