|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
ShankSouljaBoi
Joined: 21 Jun 2017
Last visit: 12 Aug 2026
Posts: 593
Given Kudos: 4,089
Location: India
Concentration: Finance, Economics
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 1: 660 Q49 V31
GMAT 2: 620 Q47 V30
GMAT 3: 650 Q48 V31
GPA: 3.1
WE:Corporate Finance (Non-Profit and Government)
Products:
Schools: Rotman '23 (D) IIMA PGPX'22 (D) Desautels '23 (D) Schulich Sept '23 (D) WBS (D) IIML IPMX'25 (A)
GMAT 3: 650 Q48 V31
Posts: 593
Updated on: 26 Oct 2020, 14:47
Originally posted by ShankSouljaBoi on 26 Oct 2020, 14:38.
Last edited by Bunuel on 26 Oct 2020, 14:47, edited 1 time in total.
Last edited by Bunuel on 26 Oct 2020, 14:47, edited 1 time in total.
Renamed the topic and edited the question.
Kudos
Bookmarks
B
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:
53% (02:00) correct
47%
(02:26)
wrong
based on 210
sessions
History
Date
Time
Result
Not Attempted Yet
If p and q are non-zero integers such that |p| + |q| = 18. What is the value of p*q ?
(1) |p| - |q| = 6
(2) p = -2q
(1) |p| - |q| = 6
(2) p = -2q
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
26 Oct 2020, 14:48
Kudos
Bookmarks
27 Oct 2020, 07:47
Kudos
Bookmarks
ShankSouljaBoi
Using Statement 1, we have a 2 equations / 2 unknowns problem, with the equations |p| + |q| = 18, and |p| - |q| = 6. If we add those equations, we learn 2|p| = 24, so |p| = 12, and then by substitution, we learn |q| = 6. But we have no way to determine the signs of p and q, so pq can equal 12*6, or it can equal -(12)(6), and we can get two answers to the question.
From Statement 2, notice we can be certain p and q have opposite signs, which is why Statement 2 will turn out to be sufficient -- we can be certain pq is negative. If p = -2q, we can substitute for p:
|p| + |q| = 18
|-2q| + |q| = 18
|-2|*|q| + |q| = 18
2|q| + |q| = 18
3|q| = 18
|q| = 6
and if q = 6, p = -12, while if q = -6, p = 12, and in either case, pq = -(12)(6).
