AbdurRakib wrote:

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

I. 2a > b + c

II. c – a > b - a

III. \(\frac{c}{a}\) < \(\frac{b}{a}\)

A) I only

B) II only

C) III only

D) I and II

E) II and III

OG 2017 New Question

I. 2a > b + c

Consider this scenario: a = 1, b = 2 and c = 3. This meets the given condition that 0 < a < b < c.

HOWEVER, if we plug these values into statement I, we see that it is NOT the case that 2a > b + c

So, statement I NEED NOT BE TRUE

II. c – a > b - a

It's already given that c > b

If we subtract ANY VALUE (such as a) from both sides, the inequality remains valid.

So, statement II MUST BE TRUE

III. c/a < b/a

Consider this scenario: a = 1, b = 2 and c = 3. This meets the given condition that 0 < a < b < c.

HOWEVER, if we plug these values into statement III, we see that it is NOT the case that c/a < b/a

So, statement III NEED NOT BE TRUE

Answer: B

Cheers,

Brent

_________________

Brent Hanneson – GMATPrepNow.com

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