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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

295

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B

270

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C

240

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D

360

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Solution

The correct option is B

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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