If a, b, and c are prime, is abc odd?

(1) a = 3

(2) c = 2

Correct answer marked below

Statement (1) ALONE is sufficient

Statement (2) ALONE is sufficient

Correct

BOTH statements TOGETHER are sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

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Explanation

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Comments

ChinmayMay 3

Wait, why is statement 1 not enough? If a is 3 then a is odd but what about b and c?

AhmedMay 15

b and c could still be any primes, so if one of them is 2 the product flips to even. a being 3 doesn't lock anything down.

ThomasMay 9

ohhh right, i totally forgot c could be 2. thanks!

HarshitaApr 27

kinda confused why the answer isn't D at first but got it after thinking about the even prime thing. classic trap.

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.

If a, b, and c are prime, is abc odd?(1) a = 3(2) c = 2