Find the smallest number of six digits exactly divisible by 25,35,45 and 15.
Select the correct option
A) 100555 B) 100775 C) 100885 D) 100995 E) 100665
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 100775.
<result>B</result>
Find the smallest number of six digits exactly divisible by 25,35,45 and 15.