The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is	Choose the correct choice from the following choices.
A) 240	B) 270	C) 295	D) 360	E) NOne
Sol.   Let the smaller number be x.   Then, larger number = (1365 + x).   ∴ 1365 + x = 6x + 15   ⇔ 5x = 1350   ⇔ x = 270.   Hence, the required number is 270.   Answer 270
<result>B</result>
The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is