Is n

Question

Is n < 0?

(1) m < n
(2) -n < m

CareerGeek · Accepted Answer

(1) m < n --> n > m 'm' can be +ve or -ve --> Insufficient (2) -n < m --> n > -m 'm' can be +ve or -ve --> Insufficient Combining (1) & (2), n > m & n > -m --> n is both greater than m & -m on the number line So, the common solution is "n" will ALWAYS lie to the right of origin --> Sufficient Eg: Case 1: Let m = 2 --> n > 2 & n > -2 --> n >2 is the solution --> n is ALWAYS greater than 0 Case 2: Let m = -2 --> n > -2 & n > -(-2) --> n > -2 & n > 2 --> n >2 is the solution --> n is ALWAYS greater than 0 IMO Option C Pls Hit kudos if you like the solution

Harsh9676 · Answer

IMO E

From 1

m-n<0, which means without knowing m's sign we cannot find whether n<0.

From 2, we get -n-m<0, here as well we need to know m's sign.

Combined, we can add both the inequalities as the signs are the same and get -2n<0.

From this we cannot know whether n<0.

Posted from my mobile device

nikhilgaur40 · Answer

Answer is E
a) Nothing known about m
b) -n<m
 => n>m
Again same as a
Combining both we dont get any answer.So answer must be E

satya2029 · Answer

1. m0 . -equation a This will give -2n<0 2n>0 n>0 equation b =from equation a and b =n>0 case2. n<0 (eq-a) first multiply by - sign n>-n as n is negative -n is positive so we don't have to change the sign now 2n>0 n>0 From 1) and 2) n>0 C:)

bebs · Answer

n < 0?

St 1: m < n ==> m - n < 0 ==> Insufficient since we do not know the signs of m and n

St 2: - n < m ==> m + n > 0 ==> Insufficient since we do not know the signs of m and n

Sts 1 and 2 combined:
Multiplying both sides of st 1 by -1 ==> - (m - n > 0) ==> -m + n > 0
Add -m + n > 0 and m + n > 0 (St 2) ==> 2n > 0 ==> n > 0 ==> Sufficient (C is the answer)

Chethan92 · Answer

Each statement individually is insufficient.

Combining both:

-n<m<n.
Means n has to be positive.
C is sufficient.

chetan2u · Answer

It can be answered in 30 seconds, if you take correct steps. (1) m < n (2) -n < m There is nothing known about signs of m or n when you look at the individual statements. Add both the inequalities given, m m+(-n)0....n>0 Answer is always NO C

Basshead · Answer

Is n < 0?

(1) m < n

Insufficient.

(2) -n < m

Insufficient.

(1&2) m - n < n + m
0 < 2n
0 < n

N is positive. SUFFICIENT.

Answer is C.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Is n < 0? (1) m < n (2) -n < m

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions