Find the smallest number of six digits exactly divisible by 25,35,45 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