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.

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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.

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

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