GRE Prep 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.
If |p 8| = 3p, then p = 4 2 1 2 4
[#permalink]
04 Sep 2024, 01:34
04 Sep 2024, 01:34
1
Expert Reply
00:00
Question Stats:
85% (01:08) correct
14% (00:39) wrong based on 14 sessions
Hide Show timer Statistics
If \(|p – 8| = 3p\), then p =
A. –4
B. –2
C. 1
D. 2
E. 4
A. –4
B. –2
C. 1
D. 2
E. 4
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
If |p 8| = 3p, then p = 4 2 1 2 4
[#permalink]
17 Oct 2024, 08:08
17 Oct 2024, 08:08
1
|p – 8| = 3p
Let's solve it using two methods
Method 1: Algebra
( To MASTER Absolute Value Problems, watch this video )
Method 2: Substitution
| p - 8 | = 3p
Let's pick values in the range of each option choice and see if it satisfies the above equation
A. –4
| -4 - 8| = 3 * (-4)
=> | -12| = -12
=> 12 = -12 which is NOT TRUE
B. –2
| -2 - 8| = 3 * (-2)
=> | -10| = -6
=> 10 = -6 which is NOT TRUE
C. 1
| 1 - 8| = 3 * (1)
=> | -7| = 3
=> 7 = 3 which is NOT TRUE
D. 2
| 2 - 8| = 3 * (2)
=> | -6| = 6
=> 6 = 6 which is TRUE
E. 4
| 4 - 8| = 3 * (4)
=> | -4| = 12
=> 4 = 12 which is NOT TRUE
So, Answer will be D
Hope it helps!
To learn how to solve absolute value problems, watch the following video
Let's solve it using two methods
Method 1: Algebra
( To MASTER Absolute Value Problems, watch this video )
| As we have |p - 8| in the equation so we will have two cases | |
| -Case 1: p - 8 ≥ 0 => p ≥ 8 => | p - 8 | = p - 8 => p - 8 = 3p => 2p = -8 => p = -4 But condition was p ≥ 8 => NO SOLUTION | -Case 2: p - 8 ≤ 0 => p ≤ 8 => | p - 8 | = -(p - 8) = 8 - p => 8 - p = 3p => 4p = 8 => p = 2 But condition was p ≤ 8 and 2 ≤ 8 => p = 2 is a SOLUTION |
Method 2: Substitution
| p - 8 | = 3p
Let's pick values in the range of each option choice and see if it satisfies the above equation
A. –4
| -4 - 8| = 3 * (-4)
=> | -12| = -12
=> 12 = -12 which is NOT TRUE
B. –2
| -2 - 8| = 3 * (-2)
=> | -10| = -6
=> 10 = -6 which is NOT TRUE
C. 1
| 1 - 8| = 3 * (1)
=> | -7| = 3
=> 7 = 3 which is NOT TRUE
D. 2
| 2 - 8| = 3 * (2)
=> | -6| = 6
=> 6 = 6 which is TRUE
E. 4
| 4 - 8| = 3 * (4)
=> | -4| = 12
=> 4 = 12 which is NOT TRUE
So, Answer will be D
Hope it helps!
To learn how to solve absolute value problems, watch the following video
gmatclubot
If |p 8| = 3p, then p = 4 2 1 2 4 [#permalink]
17 Oct 2024, 08:08
Moderators:
