28P3 is divisible by 11. What is the value of P?
Show answer & explanation
Correct answer: D
Explanation
Given:
Number = 28P3, divisible by 11.
According to the formula:
Divisibility by 11 → (Difference between the sum of alternate digits) is 0 or a multiple of 11.
(2 + P) − (8 + 3) = (2 + P) − 11 = P − 9
P − 9 = 0 or ±11
P = 9