If 0

Question

If 0 < a < b, is c < 0? 
1.cb < ca 
2.|c| > 1

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BrentGMATPrepNow · Accepted Answer

Slightly different solution: Target question : Is c < 0? Given : 0 < a < b Statement 1 : cb < ca Subtract ca from both sides to get: cb - ca < 0 Factor: c(b - a) < 0 IMPORTANT: if a < b , we can be certain that (b - a) is POSITIVE. So, we can divide both sides of the inequality by (b - a) to get: c < 0 PERFECT! Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2 : |c| > 1 There are several values of c that satisfy statement 2. Here are two: Case a: c = -2, in which case c < 0 Case b: c = 2, in which case c > 0 Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Answer = A Cheers, Brent

ENGRTOMBA2018 · Answer

GIven , b>a , is c<0? Per statement 1, cb cb-ca<0---> c(b-a) < 0 only possible for c<0 as b>a --> b-a>0. Sufficient. Per statement 2, |c| >1 ---> c<-1 or c>1, making this statement not sufficient. A is thus the correct answer.

_shashank_shekhar_ · Answer

1) cbb, both a and b must be multiplied by any no which is smaller than 0 ex- 3<7 so when we multiply any negative no to both the sides and sign changes. -6>-14 hence A is sufficient. 2)|c|> 1 given two conditions c>1 and c<-1 not suff Ans - (A)

Basshead · Answer

(1) cb - ca < 0 c(b-a) < 0 c < 0 or b < a Since we're told in the question that a < b, we can conclude c < 0. SUFFICIENT. (2) |c| > 1 c > 1 or c < -1 INSUFFICIENT. Answer is A.

randomavoidplease · Answer

But if we assume the values of a & b as 1/4 and 1/2 and then take C = 2 as statement 1, we get contradicting answers thus A shouldn't be sufficient. What am I missing here?

bumpbot · Answer

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If 0 < a < b, is c < 0? 1.cb < ca 2.|c| > 1

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