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UPSC Prelims

Mathematics

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Elementary Algebra / प्रारंभिक बीजगणित

Q58 2022, Elementary Algebra

What is the remainder when 91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99 is divided by 1261?

91×92×93×94×95×96×97×98×99 को 1261 से भाग देने पर शेषफल क्या होगा?

Explanation Please wait..

Prime factorize 1261 = 13 × 97.

13 and 97 both are prime, so can’t be further factorized.

Both 13 and 97 are available in the given product.

Thus, 1261 will divide the given product completely.

So the remainder will be 0.

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