For Statement 1, consider the following:
A) p=10, q=6, n=3 => p-q > n and p, q are each > n
B) p=10, q=4, n=5 => p-q > n but only p > n
Statement 1 is insufficient.
For Statement 2, "q>p" gives no information about 'n'.
Statement 2 is insufficient.
Combining statements...
Given that p and q are both positive integers, p-q < 0.
From Statement 1, p-q > n, so n < 0.
Since n < 0 and p > 0 and q > 0, we know that p and q are both greater than n.
Answer: C
GMAT Prep Q - p&q
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Night reader
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given: p,q (integers) > 0 Are p,q>n ?
st(1) p-q>n means that p>n+q; since q is +ve integer, p>n+ (+ve integer) means that p>n. What about q? q<p-n, we don't know exactly if q>n, it could be both cases - e.g. p=5, q=2, n=1 2<5-1 OR p=3, q=3 and n=1 in case p=q
which is possible because we are not told that they cannot be equal 3>3-1, hence Not Sufficient;
st(2) q>p, obviously Not Sufficient
Combined st(1&2): this must be Sufficient, as the only condition when st(1) allows for answering this question is q>p and automatically q>n
answer Yes and choice C
st(1) p-q>n means that p>n+q; since q is +ve integer, p>n+ (+ve integer) means that p>n. What about q? q<p-n, we don't know exactly if q>n, it could be both cases - e.g. p=5, q=2, n=1 2<5-1 OR p=3, q=3 and n=1 in case p=q
which is possible because we are not told that they cannot be equal 3>3-1, hence Not Sufficient;st(2) q>p, obviously Not Sufficient
Combined st(1&2): this must be Sufficient, as the only condition when st(1) allows for answering this question is q>p and automatically q>n
answer Yes and choice C
tito1545 wrote:A step by step approach to this please ?
Are positive integers p and q both grater than n ?
1) p-q is grater than n
2)q>p
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
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kevincanspain
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The key is to simplify:tito1545 wrote:A step by step approach to this please ?
Are positive integers p and q both grater than n ?
1) p-q is grater than n
2)q>p
(1) tells us that p - q > n i.e. p > q + n Since q > 0 , we can say that p > q + n > n
Thus we know that p > n, but we have no way of comparing q with n
NOT SUFF
(2) says nothing about n
NOT SUFF
(T) q > p from (2) and p > n from (1). Thus q > n as well
SUFF
Kevin Armstrong
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Night reader
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Hi Kevin, may I pay you to reply on my query in pm?
kevincanspain wrote:The key is to simplify:tito1545 wrote:A step by step approach to this please ?
Are positive integers p and q both grater than n ?
1) p-q is grater than n
2)q>p
(1) tells us that p - q > n i.e. p > q + n Since q > 0 , we can say that p > q + n > n
Thus we know that p > n, but we have no way of comparing q with n
NOT SUFF
(2) says nothing about n
NOT SUFF
(T) q > p from (2) and p > n from (1). Thus q > n as well
SUFF
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
-
kevincanspain
- GMAT Instructor
- Posts: 613
- Joined: Thu Mar 22, 2007 6:17 am
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