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

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by BTGmoderatorDC » Sat Apr 20, 2019 9:23 pm

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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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Source: — Data Sufficiency |

by GMATGuruNY » Sun Apr 21, 2019 2:31 am
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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