Question

If 3P is a number which is divisible by 2 and 3, find the possible values of P.

• A. 0.0
• B. 4
• C. 6
• D. 8

Answer 1

Answer: (A), (C)

The correct options are
A 0.0
C 6

A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8.
$\therefore$ Possible values of P = 0, 2, 4, 6 and 8

The given number is divisible by 3 only when the sum of digits of the number is a multiple of 3.

Given that 3P is divisible by 3, (3 + P) should be divisible by 3.

If P = 0
3 + 0 = 3, which is a multiple to 3.
If P = 2
3 + 2 = 5, which is not a multiple of 3.
If P = 4
3 + 4 = 7, which is not a multiple of 3.
If P = 6
3 + 6 = 9, which is a multiple of 3.
If P = 8
3 + 8 = 11, which is not a multiple of 3.

$\therefore$ P = 0 and 6