Is it that m

Question

Is it that m < 0?

(1) (m + 1)(m)(m – 1) < 0

(2) |m| > 1

gmatophobia · Answer

Question: Is m negative Statement 1 (1) (m + 1)(m)(m – 1) < 0 Let's plot the points 0, -1, and + 1 on a number line. ----------- (-1) ----------- (0) ----------- (+1) ----------- (m + 1)(m)(m – 1) < 0 indicates that m can either be between 0 and 1 or m can be less than -1. If 0 < m < 1 → Is m < 0 -- No If m < -1 → Is m < 0 -- Yes Statement 1 alone is not sufficient. We can eliminate A and D. Statement 2 (2) |m| > 1 The distance of m from 0 is greater than 1. This implies that either m > 1 or m < -1 ----------- (-1) ----------- (0)----------- (+1) ----------- If m > 1 → Is m < 0 -- No If m < -1 → Is m < 0 -- Yes Statement 2 alone is not sufficient. We can eliminate B. Combined The region common to statement 1 and statement 2 is m < -1. If m < -1 → Is m < 0 -- Yes We now have a definite answer. Hence, the statements combined are sufficient. Option C

Nabneet · Answer

St 1:
(m + 1) (m) (m – 1) < 0
 The condition satisfies when, 
0<m<1 & m<-1
Not Sufficient

St2:
m>1 & m<-1 
Not sufficient

Combining:
m<-1

Answer C

Is it that m < 0?

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