whats the Q?
If m and n are negative, is mn less than 1 ?
or If m and n are negative, is m,n less than 1 ? [/b]
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Inequalities
Source: Beat The GMAT — Data Sufficiency |
Many of the great achievements of the world were accomplished by tired and discouraged men who kept on working.
stsmt one - it can be fractions .. say -1/2 and -1/4. still not sufficient
stmt 2 - chose m = -3 and n = -2 m-n = -1 > n (-2) m/n 3/2 >1
next chose m = -2 and n = -3; m-n = 1 (> n) and 2/3 < 1
togetehr they make no sense so ans = E
stmt 2 - chose m = -3 and n = -2 m-n = -1 > n (-2) m/n 3/2 >1
next chose m = -2 and n = -3; m-n = 1 (> n) and 2/3 < 1
togetehr they make no sense so ans = E
let m = -1/4 n=-1/3------if this then less than one
or m = -1/3 and n =-1/4--if this then greater than 1
both satisfy the 2 equations ..hence v cant reach a conclusion ..therefore E
or m = -1/3 and n =-1/4--if this then greater than 1
both satisfy the 2 equations ..hence v cant reach a conclusion ..therefore E
For the second statement:
m - n > n
Therefore, m > 2n
Therefore, m/n < 2 (sign changes because we know n is negative).
Hence, all we've got is -- m/n is less than 2. Hence, not B but E.
m - n > n
Therefore, m > 2n
Therefore, m/n < 2 (sign changes because we know n is negative).
Hence, all we've got is -- m/n is less than 2. Hence, not B but E.
@gmat_2010:
If m/n is less than 2, then how it is sufficient that m/n will be less than 1????????????
If m/n is less than 2, then how it is sufficient that m/n will be less than 1????????????
gmat_2010 wrote:For the second statement:
m - n > n
Therefore, m > 2n
Therefore, m/n < 2 (sign changes because we know n is negative).
Hence, all we've got is -- m/n is less than 2. Hence, not B but E.
Is it sufficient enough to simplify that the question is asking is m > n (i.e. m/n < 1)
so for the first condition, it simplifies to m > 1/n
the second condition simplifies to m > 2n
In either case, the conditions are inconclusive to state that m > n so it is E
so for the first condition, it simplifies to m > 1/n
the second condition simplifies to m > 2n
In either case, the conditions are inconclusive to state that m > n so it is E
yes that should be correct
jsk988 wrote:Is it sufficient enough to simplify that the question is asking is m > n (i.e. m/n < 1)
so for the first condition, it simplifies to m > 1/n
the second condition simplifies to m > 2n
In either case, the conditions are inconclusive to state that m > n so it is E
