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A number divided by 169 leaves 91 as a remainder. If the same number is divided by 13, what will be the remainder?

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'0' (Zero). AS 169 is divisible by 13 as well as 91 is also divisible by 13. SO original number's format will be 169.x +91. When (169x+91) / 13 -> then remainder will be zero.

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Remainder will be zeo

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The number is of the form 169m+91 (m being the quotient) now when this number is divided by 13, the Remainder will be zero. Because, 169m will be completely divisible by 13 and so will be 91. As per Remainder theorem, Remainder=> Remainder + Remainder]/C So Remainder=> Remainder /13 => Remainder... read more
The number is of the form 169m+91 (m being the quotient) now when this number is divided by 13, the Remainder will be zero. Because, 169m will be completely divisible by 13 and so will be 91. As per Remainder theorem, Remainder[(A+B)/C] => Remainder [Remainder[A/C] + Remainder[B/C]]/C So Remainder [(169m + 91)/13] => Remainder [Remainder(169m/13) + Remainder(91/13)]/13 => Remainder [0 + 0]/13 => Remainder = 0 read less

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