1)

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 :


A) 240

B) 270

C) 295

D) 360

E) 365

Answer:

Option B

Explanation:

Let the numbers be $x$ and $(x+1365)$.
Then, $x+1365=6x+15 \Leftrightarrow 5x = 1350 \Leftrightarrow x = 270$.