What is the smallest number which when diminished by 20, is divisible 15, 30, 45 and 60?  Choose the correct choice from the following answers.
A) 200  B) 220  C) 240  D) 322  E) 342

Rationale: "required number = ( lcm of 15 , 30 , 45 and 60 ) + 20 = 180 + 20 = 200 option a"
Answer: A