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.
Apr 2212:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 1612:00 PM EDT
-11:59 PM EDT
You’re first to know: Save $200 on GMAT prep starting tomorrow, 4/13. Get 6 official practice tests and study with real questions. Be ready to save!
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
15 Feb 2021, 01:15
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
45% (01:53) correct
55%
(01:47)
wrong
based on 118
sessions
History
Date
Time
Result
Not Attempted Yet
Is \((4^x)^{(5-3x)}=1\)?
(1) x is an integer.
(2) The product of x and positive integer y is not x.
(1) x is an integer.
(2) The product of x and positive integer y is not x.
16 Feb 2021, 01:30
Kudos
Bookmarks
Bunuel
First of all \((4^x)^{(5-3x)}=4^{x*(5-3x)}\)
For this expression to be equal to 1, \(x*(5-3x)\) must be equal to 0.
\(x*(5-3x)=0\) --> \(x=0\) or \(x=\frac{5}{3}\).
So basically the question asks whether \(x=0\) or \(x=\frac{5}{3}\).
(1) x is an integer, hence x is not 5/3. But we don't know whether x is 0 or any other integer. Not sufficient.
(2) \(xy\neq{x}\), hence x is not equal to 0. But x can be any other number, integer or not integer. Not sufficient.
(1)+(2) x is an integer but not 0. So, x is not 0, not 5/3. Hence \(x*(5-3x)\neq{0}\), hence \((4^x)^{(5-3x)}\) does not equal to 1. Sufficient.
Answer: C.
General Discussion
15 Feb 2021, 04:58
Kudos
Bookmarks
The expression \((4^x)^(5 - 3x)\) can be equal to 1, only if (a) x = 0 or (b) 5 - 3x = 0 i.e x = 5/3
Statement 1: x is an integer.
With this statement, x can be 0, in which case, the expression is = 1. but if x is any other value than 0, then it is not equal to 1.
Therefore Statement 1 Alone is Insufficient. Answer options could be B, C or E
Statement 2: The product of x and positive integer y is not x.
From this statement, we can conclude that x cannot be -1, 0 or +1. In this case, any integer value of x will not give a value of 1 for the above expression.
What we cannot conclude from this statement is whether x is an integer, and therefore it could be possible for x to be 5/3 in which case the expression being equal to 1 can be an option.
Therefore Statement 2 Alone is Insufficient. Answer Options could be C or E.
Combining Both Statements:
Here we know that x cannot be 0 and x cannot be 5/3 and hence NO, the value of the expression cannot be 1.
Therefore Both Statements together are Sufficient.
Option C
Arun Kumar
Statement 1: x is an integer.
With this statement, x can be 0, in which case, the expression is = 1. but if x is any other value than 0, then it is not equal to 1.
Therefore Statement 1 Alone is Insufficient. Answer options could be B, C or E
Statement 2: The product of x and positive integer y is not x.
From this statement, we can conclude that x cannot be -1, 0 or +1. In this case, any integer value of x will not give a value of 1 for the above expression.
What we cannot conclude from this statement is whether x is an integer, and therefore it could be possible for x to be 5/3 in which case the expression being equal to 1 can be an option.
Therefore Statement 2 Alone is Insufficient. Answer Options could be C or E.
Combining Both Statements:
Here we know that x cannot be 0 and x cannot be 5/3 and hence NO, the value of the expression cannot be 1.
Therefore Both Statements together are Sufficient.
Option C
Arun Kumar
