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 1/x + 1/3 + 1/4 = 1, then x =
[#permalink]
28 Apr 2022, 01:00
28 Apr 2022, 01:00
Expert Reply
00:00
Question Stats:
100% (00:54) correct
0% (00:00) wrong based on 20 sessions
Hide Show timer Statistics
If \(\frac{1}{x} + \frac{1}{3} + \frac{1}{4} = 1\), then x =
A. 2
B. 24/11
C. 12/5
D. 5
E. 6
A. 2
B. 24/11
C. 12/5
D. 5
E. 6
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 1/x + 1/3 + 1/4 = 1, then x =
[#permalink]
28 Apr 2022, 06:16
28 Apr 2022, 06:16
1
Carcass wrote:
If \(\frac{1}{x} + \frac{1}{3} + \frac{1}{4} = 1\), then x =
A. 2
B. 24/11
C. 12/5
D. 5
E. 6
A. 2
B. 24/11
C. 12/5
D. 5
E. 6
STRATEGY: As with all GRE multiple choice questions, we should immediately ask ourselves, Can I use the answer choices to my advantage?
In this case, we could plug each answer choice into the given equation, HOWEVER plugging choices B and C would be a total pain.
Now we should give ourselves 15-20 seconds to identify a faster approach.
In this case, we can also solve the equation. So let's go with that
One approach is to eliminate the fractions in one step by multiplying both sides of the equation by the least common multiple of the denominators.
Since \(12x\) is the least common multiple of \(x\), \(3\) and \(4\), we'll multiply both sides of the equation by \(12x\) to get: \(12 + 4x + 3x = 12x\)
Simplify: \(12 = 5x\)
Solve: \(x = \frac{5}{12} \)
Answer: C
gmatclubot
Re: If 1/x + 1/3 + 1/4 = 1, then x = [#permalink]
28 Apr 2022, 06:16
Moderators:
