Question

What is the smallest positive integer which when divided by $4,5,8,9$ leaves remainders $3,4,7,8$ respectively?

• A. $119$
• B. $319$
• C. $359$
• D. $719$

Answer 1

Answer: (C)

$359$

L.C.M of $4,5,8,9=360$
The difference of divisor and remainder in each case is $1$.
Therefore, the required number $=360-1=359$.