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Question

Mathematics Question on Number Systems

A number when divided by 765 leaves a remainder 42. What will be the remainder if the number is divided by 17 ?

A

8

B

7

C

6

D

5

Answer

8

Explanation

Solution

Let's assume the number be N.
According to the question
N = 765k + 42
Let k = 1, so N = 807
When 807 is divided by 17
The remainder left will be = 8
The correct option is (A)