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↧↧↧ Detailed Video Solution to the Problem ↧↧↧



When a positive integer x is divided by 91, the remainder is 49

Dividend = Divisor * Quotient + Remainders
Dividend = x
Divisor = 91
Quotient = k (assume)
Remainder = 49

=> x = 91*k + 49 = 91k + 49

What is the remainder when 2x is divided by 13

2x = 2 * (91k + 49) = 2*7*13k + 98

Remainder of 2x by 13 = Remainder of (2*7*13k + 98) by 13
= Remainder of 2*7*13k by 13 + Remainder of 98 by 13
= 0 + 7 = 7


So, Answer will be B
Hope it helps!

Watch the following video to MASTER Remainders

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