If 0 b + c II. c – a > b - a III. c/a < b/a

Free Practice Question

PS · Problem Solving

sub-505

Inequalities

If 0 < a < b < c, which of the following statements must be true?

I. 2a > b + c
II. c – a > b - a
III. c/a < b/a

Correct answer marked below

I only

II only

Correct

III only

I and II

II and III

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Comments

GmatJul 28

I is the trap, 2a>b+c can never hold since b and c are both bigger than a. nice question

What this question tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.