If 436P5 is divisible by 3, then the largest value of P is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 9.
A number is divisible by 3 if the sum of its digits is divisible by 3.
In the number 436P5, the sum of the digits = 4 + 3 + 6 + P + 5 = 18 + P
The possible values for P = 0, 3, 6, and 9
If P = 9 then 18 + P = 18 + 9 = 27 (divisible by 3)
Therefore, the largest value of P is 9.