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A number when divided by 234 gives the remainder 36. What will be the remainder when it is divided by 13?
Question

A number when divided by 234 gives the remainder 36. What will be the remainder when it is divided by 13?

A.

6

B.

11

C.

9

D.

1 0

Correct option is D

Given:
A number when divided by 234 gives the remainder 36.
Formula Used:
Dividend = Divisor × Quotient + Remainder
Solution:
Let the number be a,
According to the question
a = 234q + 36 [where q is quotient]
=> a = 234q + 26 + 10
=> a = 13 (18q + 2) + 10
So, the remainder will be 10.

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