Quantitative Reasoning

Number System

Easy

The difference between the two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the reminder is 15. Find the smallest number?

210

250

270

290

✅ Correct Option: 3

Let the smaller number be $s$ and the larger be $l$ . Then $l - s = 1365$ and $l = 6s + 15$ .

Substituting, $6s + 15 - s = 1365$ , so $5s = 1350$ and $s = 270$ .

Check: $l = 6(270) + 15 = 1635$ , and $1635 - 270 = 1365$ .

Note: The question says "reminder" - this is a typo made by our beloved NTA!

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Solution