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Question

# The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number ?

A

270

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B

240

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C

295

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D

360

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Solution

## The correct option is A 270 Let the smaller number be x. ⇒ Larger number = x+1365 By Euclid's division lemma, the larger number can also be written as 6x+15. ⇒x+1365=6x+15 ⇒5x=1350 ⇒x=270 ∴ The smaller number is 270 and the larger number is 270 + 1365 = 1635.

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