Question stem : p and q are positive integers
Stmt I
p-q>n
p=100 q=90 n=1
p-q>n and p,q both greater than n
p=10 q=2 n=6
p-q>n but p,q both arenot greater than n
INSUFF
Stmt II
q>p
No info about n
INSUFF
Stmt I and II together
p-q>n
q>p
Add inequalities above facing the same direction
p-q+q>p+n
p>p+n
The only time this will happen is if n is negative since any positive number(p) cannot be greater than the same positive number p added to another positive number
Since p and q are gven to be positive we found n to be negative therefore p and q are both greater than n
C)
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Question from GPREP 4
Source: Beat The GMAT — Data Sufficiency |
Simpler way: If p-q>n and q>p then p-q must be negative. Since it's given that p and q are both positive therefore p-q is certainly smaller than both p and q.
I dont understand what you are trying to say here. Please help me understand.Simpler way: If p-q>n and q>p then p-q must be negative. Since it's given that p and q are both positive therefore p-q is certainly smaller than both p and q.
Cramya,
What he is trying to say is this -
from 1,
p-q>n
from 2, q>p i.e p-q<0
we know p and q are positive integers.
So again from 1, we have n<p-q i.e n< -ve
so both p and q are greater than n
Lets say from 2, q=10 and p =4
p-q=-6
From 1,
n<-6
Hence C
What he is trying to say is this -
from 1,
p-q>n
from 2, q>p i.e p-q<0
we know p and q are positive integers.
So again from 1, we have n<p-q i.e n< -ve
so both p and q are greater than n
Lets say from 2, q=10 and p =4
p-q=-6
From 1,
n<-6
Hence C
-
ronniecoleman
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p - q > n
5 -3 > 2
5-1> 4
can't say
but
q > p
so p-q > n
hence n is a negative no. so p and q are always greater than n
5 -3 > 2
5-1> 4
can't say
but
q > p
so p-q > n
hence n is a negative no. so p and q are always greater than n
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