T and F represent two distinct digits. If the number 457T89F is divisible by 36, what is the value of (T+F)?  Select the correct option
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 T could be either 1,4,7 only.   To be divisible by 9 only 1 works .(if we choose f=6 then T have to be 6 but as per condition TF are distinct) So   T=1   F=2   Ans:- 3.b) 3
<result>B</result>
T and F represent two distinct digits. If the number 457T89F is divisible by 36, what is the value of (T+F)?