If x is a positive integer such that 2x + 12 is perfectly divisible by x, then the number of possible values of x is :

Q: 91 (CAPF/2014)

question_subject:

Maths

CAPF

0,9,12,4,5,9,3

{'possible values': [0, 0, 0, 1], 'positive integer': [0, 0, 0, 1], 'number': [0, 0, 0, 2]}

To find the number of possible values of x, we need to determine the conditions under which 2x + 12 is divisible by x.

Let`s analyze each option:

1) Option 1: If x = 2, then 2x + 12 = 2(2) + 12 = 4 + 12 = 16 which is divisible by 2. Therefore, this option satisfies the condition.

2) Option 2: If x = 5, then 2x + 12 = 2(5) + 12 = 10 + 12 = 22 which is not divisible by 5. Therefore, this option does not satisfy the condition.

3) Option 3: If x = 6, then 2x + 12 = 2(6) + 12 = 12 + 12 = 24 which is divisible by 6. Therefore, this option satisfies the condition.

4) Option 4: If x = 12, then 2x + 12 = 2(12) + 12 = 24 + 12 = 36 which is divisible by 12. Therefore, this option satisfies the condition.

From the analysis above, we can see that options