find the smallest number of 6 digits exactly divisible by 25 , 3545 and 15 .  Choose the correct option.
A) 100555  B) 100775  C) 100885  D) 100995  E) 100665

Rationale: smallest number of six digits is 100000 . required number must be divisible by l . c . m . of 25,35 , 45,15 i . e 1575 , on dividing 100000 by 1575 , we get 800 as remainder . therefore , required number = 100000 + ( 1575 â € “ 800 ) = 100775 . answer is b .
Answer: B