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28P3 is divisible by 11. What is the value of P?
Question

28P3 is divisible by 11. What is the value of P?

A.

3

B.

5

C.

7

D.

9

Correct option is D

Given:
Number = 28P3
The number is divisible by 11.
Formula Used:
A number is divisible by 11 if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
Solution:
Find the sum of digits at odd places (1st and 3rd from left):
2 + P
Find the sum of digits at even places (2nd and 4th from left):
8 + 3 = 11
Set the difference equal to 0 for divisibility:
11 - (2 + P) = 0
9 - P = 0
P = 9
Final Answer
So the correct answer is (d)

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