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Question
A number when divided by 136 leaves remainder 36. If the same number is divided by 17, the remainder will be :
Options:
A .  2
B .  3
C .  7
D .  9
Answer: Option A
Let the number be x.
Let x when divided by 136 give q as quotient and 36 as remainder.
Then, x = 136q + 36
= (17 × 8q) + (17 × 2) + 2
= 17 × (8q + 2) + 2
So, the given number when divided by 17 gives 2 as remainder.

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