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16 Sep 2019, 21:47
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E
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Are negative integers m and n both less than x?
(1) \(m > n\)
(2) \(m - n > x\)
Updated on: 17 Sep 2019, 21:56
Originally posted by EncounterGMAT on 16 Sep 2019, 22:15.
Last edited by EncounterGMAT on 17 Sep 2019, 21:56, edited 1 time in total.
Last edited by EncounterGMAT on 17 Sep 2019, 21:56, edited 1 time in total.
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Are negative integers m and n both less than x?
(1) m>n
-1>-2 or -5>-10....anything. But we don't know about x.
INSUFFICIENT!
(2) m−n>x
-4+5>x => x<1 => -4<x? Yes and -5<x yes
If -3+1>x => x<-2 => -3<x? No and -1<x No
INSUFFICIENT!
(1) + (2)
m>n and m−n>x
-4+5>x => x<1 => x>-4? Yes(not always) and x>-5 yes(not always)
-1+10>x => x<9 => x>-1? Yes(not always) and x>-10 yes(not always)
INSUFFICIENT!
imo answer is option E
Posted from my mobile device
(1) m>n
-1>-2 or -5>-10....anything. But we don't know about x.
INSUFFICIENT!
(2) m−n>x
-4+5>x => x<1 => -4<x? Yes and -5<x yes
If -3+1>x => x<-2 => -3<x? No and -1<x No
INSUFFICIENT!
(1) + (2)
m>n and m−n>x
-4+5>x => x<1 => x>-4? Yes(not always) and x>-5 yes(not always)
-1+10>x => x<9 => x>-1? Yes(not always) and x>-10 yes(not always)
INSUFFICIENT!
imo answer is option E
Posted from my mobile device
16 Sep 2019, 22:30
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We are to determine if the integers m and n are both less than x.
We can answer this question when we can prove that either m or n is greater than x.
1. m>n
This is clearly insufficient since we don’t have any information on the possible value of x.
2 m-n>x
m-n>x implies m>x+n
If m=2 and n=-5, and x= 3,
m-n=7>x(3) and both m and n are less than x so we can answer yes to the question.
Now when m=4 and n=-5 and x=3
m-n=9>x(3) but m>x so No, both m and n are not greater than x.
Statement is also insufficient.
1+2 Is still insufficient because no new information is provided by combining both options.
The answer is E in my opinion.
Posted from my mobile device
We can answer this question when we can prove that either m or n is greater than x.
1. m>n
This is clearly insufficient since we don’t have any information on the possible value of x.
2 m-n>x
m-n>x implies m>x+n
If m=2 and n=-5, and x= 3,
m-n=7>x(3) and both m and n are less than x so we can answer yes to the question.
Now when m=4 and n=-5 and x=3
m-n=9>x(3) but m>x so No, both m and n are not greater than x.
Statement is also insufficient.
1+2 Is still insufficient because no new information is provided by combining both options.
The answer is E in my opinion.
Posted from my mobile device
