What is the remainder when 1729 1929 is divided by 18 ........

Quantitative Aptitude (CDS) Number System

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What is the remainder when (17²⁹ + 19²⁹) is divided by 18 ?

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Explanation:

The number 17²⁹ = (18 - 1)²⁹ when divided by 18 leaves the remainder (-1)²⁹ = 18-1 = 17
The number 19²⁹ = (18 + 1)²⁹ when divided by 18 leaves the remainder (1)²⁹ = 1
Then after adding these two the remainder will be 17+1 = 18 which is divisible by 18
Hence the remainder will be 0