What is the remainder when 1235 times 4523 times 2451 is divided by 12 ........

Quantitative Aptitude (CDS) Algebra

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What is the remainder when (1235 × 4523 ×2451) is divided by 12?

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Explanation:

1235, 4523 and 2451 is divided by 12 then its remainder are 11, 11 and 3 respectively
$\frac{11\times 11\times 3}{12}=\left ( \frac{11}{12} \right )\times \left ( \frac{11}{12} \right )\times \left ( \frac{3}{12} \right )$
= (–1) × (–1) × 3 (By Negative Concept of Remainder)
= 1 × 3 = 3 (Remainder)