On dividing a certain number by 459, we get 19 as the remainder. What will the remainder be when the same number is divided by 17?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2.
Let the number be N
According to the question
⇒ N = 459k + 19
for some integers k
When the number is divided by 17
⇒ N/17 = 459k/17 + 19/17
⇒ N/17 = 0(remainder) + 2(remainder)
Thus, when the number is divided by 17, 2 will be the remainder