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

240

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270

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295

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360

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Solution

The correct option is B
270

Let the smaller number be x.
Then larger number = (x + 1365)
$∴$ x + 1365 = 6x + 15
$\Rightarrow$ 5x = 1350
$\Rightarrow$ x = 270

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