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28P3 is divisible by 9. What is the value of P?
Question

28P3 is divisible by 9. What is the value of P?

A.

4

B.

5

C.

6

D.

7

Correct option is B

Given:
The number 28P3 is divisible by 9.
Formula Used:
Divisibility rule of 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
Solution:
Calculate the sum of the digits of 28P3:
2 + 8 + P + 3 = 13 + P
For the entire number to be divisible by 9, the sum 13 + P must be a multiple of 9.
The smallest multiple of 9 that is greater than or equal to 13 is 18.
Equate the sum to 18 to solve for P:
13 + P = 18
P = 18 - 13
P = 5
Final Answer
So the correct answer is (b)

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