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Since 21 is a multiple of 7 and 4 is smaller than 7, then n divided by 7 also yields a remainder of 4
So : 4 + 16 = 20/7, remainder = 6
Answer E
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Given: When n is divided by 21, the remainder is 4.
Asked: What is the remainder when n + 16 is divided by 7?

n = 21k + 4
n + 16 = 21k + 4 + 16 = 21k + 20 = 7(3k+2) + 6 = 7m + 6

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n = 21 p + 4

=> Put p = 1 and we get n = 25

25 + 16 = 41.

=> \(\frac{41 }{ 7}\) = remainder will be 6

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