Hi All,

chetan2u's approach to TEST VALUES is perfect for this type of question. I do want to point out that you can do the same thing while keeping your TESTs simple.

We're told that A and B are POSITIVE INTEGERS. We're asked if A > B. This is a YES/NO question.

Fact 1: A has more factors than B.

IF...

A = 4

B = 1

A has 3 factors (1,2,4) and B has 1 factor.

The answer to the question is YES.

IF...

A = 4

B = 5

A has 3 factors (1,2,4) and B has 2 factors (1,5)

The answer to the question is NO.

Fact 1 is INSUFFICIENT

Fact 2: EVERY prime factor of B is a factor of A.

The key to dealing with this type of information is to consider that a prime factor may appear MORE than once...

IF...

A = 4

B = 2

The prime factors of B (2 only) are in A (2x2).

The answer to the question is YES.

IF....

A = 2

B = 4

The prime factors of B (2 only) are in A (2).

The answer to the question is NO.

Fact 2 is INSUFFICIENT.

Combined, we know....

A has more factors than B

EVERY prime factor of B is a factor of A

IF....

A = 4

B = 2

A has 3 factors (1,2,4) and B has 2 factors (1,2)

The prime factors of B (2 only) are in A (2x2)

The answer to the question is YES.

IF....

A = 12

B = 16

A has 6 factors (1,2,3,4,6,12) and B has 5 factors (1,2,4,8,16)

The prime factors of B (2 only) are in A (2x2x3)

The answer to the question is NO.

Combined, INSUFFICIENT.

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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