If a positive integer n is divided by 7, the remainder is 2. Which of the numbers in the options yields a remainder of 0 when it is divided by 7?
Given, when 'n' is divided by 7 the remainder is 2.
Let n = 7k + 2 where k is an positive integer
By Trial and Error method,
Option A
n + 3 = 7k + 2 + 3 = 7k + 5
$$\Rightarrow$$Â When n + 3 is divided by 7, the remainder is 5.
Option B
n + 5 = 7k + 2 + 5 = 7k + 7 = 7(k+1)
$$\Rightarrow$$Â When n + 5 is divided by 7, the remainder is 0.
Hence, the correct answer is Option B
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