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11 Nov 2019, 04:46
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
55% (02:03) correct
45%
(02:15)
wrong
based on 137
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(pq < 4\) ?
(1) \(p^2 + q^2 < 8\)
(2) \(p - q < 1\)
Are You Up For the Challenge: 700 Level Questions
(1) \(p^2 + q^2 < 8\)
(2) \(p - q < 1\)
Are You Up For the Challenge: 700 Level Questions
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
11 Nov 2019, 07:41
Kudos
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Is \(pq < 4\) ?
(1) \(p^2 + q^2 < 8\)
. \(p^2 + q^2=(p-q)^2+2pq\) so \(p^2 + q^2 < 8\) MEANS \((p-q)^2+2pq<8\) ..
The least value of \((p-q)^2\) is 0 when p=q, so MAXIMUM value of 2pq will be \(0+2pq<8...pq<4.\)..TRUE
(2) \(p - q < 1\)
If p is 8 and q is 7.5...pq>4If p=2 and q is 1.5...pq<4
A
(1) \(p^2 + q^2 < 8\)
. \(p^2 + q^2=(p-q)^2+2pq\) so \(p^2 + q^2 < 8\) MEANS \((p-q)^2+2pq<8\) ..
The least value of \((p-q)^2\) is 0 when p=q, so MAXIMUM value of 2pq will be \(0+2pq<8...pq<4.\)..TRUE
(2) \(p - q < 1\)
If p is 8 and q is 7.5...pq>4If p=2 and q is 1.5...pq<4
A
11 Nov 2019, 08:58
Kudos
Bookmarks
Bunuel
statement 1: sufficient : we know p and q mat take take any value so p can root 7.8 and q can be root .111111111 and make total less than 8
now root 7.8 *root .111111 will give value <4 similarly if we check negatives p and q each has to be less than -2 as putting -2 will give a total more than 8. pq has to less than 4
statement 2 :p<1+q no boundaries so insufficient
A
