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 1/2 + 1/3 + 1/8 = 23/x , which of the following must be an integer
[#permalink]
07 Sep 2022, 00:13
07 Sep 2022, 00:13
Expert Reply
00:00
Question Stats:
64% (01:17) correct
35% (01:05) wrong based on 14 sessions
Hide Show timer Statistics
If \(\frac{1}{2} +\frac{1}{3 }+\frac{1}{8} =\frac{23}{x}\), which of the following must be an integer?
I. \(\frac{x}{8}\)
II. \(\frac{x}{12}\)
III \(\frac{x}{24}\)
(A) I only
(B) II only
(C) I and III only
(D) II and III only
(E) I, II, and III
I. \(\frac{x}{8}\)
II. \(\frac{x}{12}\)
III \(\frac{x}{24}\)
(A) I only
(B) II only
(C) I and III only
(D) II and III only
(E) I, II, and III
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: If 1/2 + 1/3 + 1/8 = 23/x , which of the following must be an integer
[#permalink]
11 Sep 2022, 02:27
11 Sep 2022, 02:27
Expert Reply
LCM \((2,3,8) = 8*3 = 24\)
\((\frac{1}{2})+(\frac{1}{3})+(\frac{1}{8}) = \frac{23}{x}\)
\((\frac{12}{24})+ (\frac{8}{24}) + (\frac{3}{24}) = \frac{23}{x}\)
\((\frac{23}{24}) = \frac{23}{x} => x= 24\)
24 is a multiple of 8,12, and 24.
Answer: E
\((\frac{1}{2})+(\frac{1}{3})+(\frac{1}{8}) = \frac{23}{x}\)
\((\frac{12}{24})+ (\frac{8}{24}) + (\frac{3}{24}) = \frac{23}{x}\)
\((\frac{23}{24}) = \frac{23}{x} => x= 24\)
24 is a multiple of 8,12, and 24.
Answer: E
gmatclubot
Re: If 1/2 + 1/3 + 1/8 = 23/x , which of the following must be an integer [#permalink]
11 Sep 2022, 02:27
Moderators:
