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If j > 1, is integer j a prime number?

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If j > 1, is integer j a prime number?

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If j > 1, is integer j a prime number?

(1) When j is divided by 3, the remainder is 1.

(2) When j is divided by 2, the remainder is 1.

OA E

Source: Veritas Prep

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BTGmoderatorDC wrote:
If j > 1, is integer j a prime number?

(1) When j is divided by 3, the remainder is 1.

(2) When j is divided by 2, the remainder is 1.
Statements combined:
Since dividing by 3 or 2 leaves a remainder of 1, j must be 1 more than a multiple of 3 and 2:
j = (3*2)a + 1 = 6a + 1, where a is a positive integer
Options for j:
7, 13, 19, 25...
If j=7, then the answer to the question stem is YES.
If j=25, then the answer to the question stem is NO.
INSUFFICIENT.

The correct answer is E.

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