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Nsentra
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ivymba
E too

We don't know the values of a , b and c.


Right! I think they key is here that the problem didn't mention that a, b, c were integers. Had they been, C would work.
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Is abc equal to 1?

(1) a, b, and c are all positive.
(2) a + b + c = 3
ABC = 1 IF A,B,C = 1 OR TWO OF THEM = -1 AND THE THIRD = 1

OR THE PRODUCT OF TWO IS THE RECEPROCAL OF THE THIRD OR TWO ARE RECEPROCALS AND THE THIRD IS 1

FROM 1)

A,B,C= +VE.... COULD BE
A,B,C = 1 OR

THE PRODUCT OF TWO IS THE RECEPROCAL OF THE THIRD

OR TWO ARE RECEPROCALS AND THE THIRD IS 1

INSUFF

FROM TWO

A+B+C = 3 A,B,C = 1 OR ANY OF THEM IS 3 AND THE OTHER TWO ZERO OR ANY TWO ARE ( 1,2) THIRD IS 0.........INSUFF

BOTH

NO COMMOPN SCENARIO .....E IS MY ANSWER
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Some structure makes this problem take less than a second. Conditions (1) and (2) describe a plane in the first octant. All the points in a plane don't have the same product.



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