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28P0 is divisible by 8. Which of the following cannot be the value of P?
Question

28P0 is divisible by 8. Which of the following cannot be the value of P?

A.

0

B.

1

C.

4

D.

8

Correct option is B

Given:
The number 28P0 is divisible by 8.
Formula Used:
A number is divisible by 8 if its last three digits form a number that is divisible by 8.
Solution:
The last three digits of the number are 8P0.
Check the divisibility of 8P0 for each given option to see which one leaves a remainder.
If P = 0, the number is 800. 8008\frac{800}{8}​ = 100. This is divisible.

If P = 1, the number is 810. 8108\frac{810}{8}​ = 101.25. This is not divisible.

If P = 4, the number is 840. 8408 \frac{840}{8}​ = 105. This is divisible.

If P = 8, the number is 880. 8808\frac{880}{8}​ = 110. This is divisible.
Therefore, 1 cannot be the value of P.
Final Answer
So the correct answer is (b)

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