Y and F represent two distinct digits. If the number 45Y89F is divisible by 36, what is the value of (Y+F)?  Pick one:
A) a) 9 B) b) 3 C) c) 12 D) d) 6 E) e) 10
A no. divisible by 36 means it is div by 49 .   to be div by 4 last 2 digits to be multiple of 4 So, F could be either 2 or 6 only   similarly for a number to be div by 9 its sum must be multiple of 9 first. filtering we find Y could be either 1,4,7 only.   To be divisible by 9 only 1 works .(if we choose f=6 then Y have to be 6 but as per condition YF are distinct) So   Y=1   F=2   Ans:- 3.b) 3
<result>B</result>
Y and F represent two distinct digits. If the number 45Y89F is divisible by 36, what is the value of (Y+F)?