by: jeffn
2 mins
by: gautamK0206
16 mins
Events & Promotions
|
|
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.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:20) correct
30%
(01:51)
wrong
based on 164
sessions
History
Date
Time
Result
Not Attempted Yet
\(12x + 3 – (4 − 4x)\)
If the expression above is equal to an integer, which of the following CANNOT be a possible value for x ?
I. \(- \frac{4}{3}\)
II. \(\frac{3}{4}\)
III. \(\frac{4}{3}\)
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
_________________
If the expression above is equal to an integer, which of the following CANNOT be a possible value for x ?
I. \(- \frac{4}{3}\)
II. \(\frac{3}{4}\)
III. \(\frac{4}{3}\)
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Posts: 1,052
Explanation:
12x+3–(4−4x)
1. x= −4/3
12(-4/3) + 3 -(4+4x4/3)
-67/3
II. 3/4
12(3/4) + 3 -(4-4x3/4)
11
III. 4/3
12(4/3) + 3 -(4-4x4/3)
61/3
IMO-B
12x+3–(4−4x)
1. x= −4/3
12(-4/3) + 3 -(4+4x4/3)
-67/3
II. 3/4
12(3/4) + 3 -(4-4x3/4)
11
III. 4/3
12(4/3) + 3 -(4-4x4/3)
61/3
IMO-B
TestPrepUnlimited
Expert
Tutor
Joined: 16 Sep 2014
Last visit: 30 Jun 2022
Posts: 1,221
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Expert reply
Bunuel
Simplifying the expression gives \(12x + 4x + 3 - 4 = 16x - 1\). For this expression to be an integer, we need \(16x\) to be an integer.
If we let x equal to I or III, multiplying the value by 16 will not cancel the 3 in the denominator so I and III will not satisfy but II's denominator can be canceled by multiplying 16 so II only satisfies.
Ans: B
_________________
Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the fastest in the world. !
It is clear from the options that only x = 3/4 can satisfies the clause, i.e, to be an integer.
Others will definitely generate a fraction.
Thus IMO ans is D, i.e., I and III both.
Others will definitely generate a fraction.
Thus IMO ans is D, i.e., I and III both.
Bunuel
Simplication of the algebra will result: \(16x-1\)
16 multiplied by 4/3 either negative results fraction, which is not an integer. So, I and III can't be the value of x.
The answer is D
TestPrepUnlimited
The question asks which of the following CANNOT be a possible value of x.
Ans - D
Moderator:
Announcements
How to Tell If Your GMAT Prep Resources Are Actually Helping You
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.