If a, b and c are positive, Is a+b+c>1?

[BTGmoderatorDC]

If a, b and c are positive, Is a+b+c>1?

I. a>0.25

II. a<√b<c^2



OA E

Source: e-GMAT

[Jay@ManhattanReview]

If a, b and c are positive, Is a + b + c > 1?

I. a > 0.25

II. a < √b < c^2

OA E

Source: e-GMAT

Needless to state that each statement alone is insufficient. Let's discuss both of them together.

(1) and (2) together

Case 1: Say a = 10, √b = 11, and c^2 = 16; thus, a = 10, b = 121 and c = 4. We see that a + b + c > 1. The answer is yes.

Case 2: Say a = 0.26, √b = 0.3, and c^2 = 0.36; thus, a = 0.26, b = 0.09 and c = 0.6 . We see that a + b + c = 0.95 < 1. The answer is no.

No unique answer. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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