47P5 is divisible by 3. What is the value of P?
Show answer & explanation
Correct answer: B
Explanation
Given:
Number = 47P5, divisible by 3
According to the formula:
Divisibility by 3 → The sum of the digits is divisible by 3
4 + 7 + P + 5 = 16 + P
16 + P must be divisible by 3
16 ≡ 1 (mod 3)
1 + P ≡ 0 (mod 3)
P ≡ 2 (mod 3)
P = 2, 5, 8