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

Correct option is A

Let the smaller number be x and the larger number be y.
We are given:
= 1365
+ 15
Substituting the value of y from the second equation into the first equation:
(6 + 15) –  = 1365
6 – + 15 = 1365
5 + 15 = 1365
5= 1350
= 1350 / 5 = 270
Thus, the correct answer is 270.