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 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
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 2512:30 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 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.
06 Sep 2021, 08:18
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
36% (02:45) correct
64%
(02:49)
wrong
based on 70
sessions
History
Date
Time
Result
Not Attempted Yet
If x is a positive integer greater than 3, is x equal to 7?
1) \(x^4 − 3^4\) is divisible by 29
2) \(x^4 + 3x^3\) is divisible by 7
1) \(x^4 − 3^4\) is divisible by 29
2) \(x^4 + 3x^3\) is divisible by 7
06 Sep 2021, 08:52
Kudos
Bookmarks
If x is a positive integer greater than 3, is x equal to 7?
1) \(x^4 − 3^4=(x^2-3^2)(x^2+3^2)=(x-3)(x+3)(x^2+9)\) is divisible by 29
When x=7, \((7+3)(7-3)(7^2+9)=10*4*58\). Since, it is divisible by 29, so x can be 7.
But, when x is 31, then too \((32+3)(32-3)(32^2+9)=35*29*(32^2+9)\) is divisible by 29.
Insufficient
2) \(x^4 + 3x^3=x^3(x+3)\) is divisible by 7
So x can be 4, 7 and so on.
Insufficient
Combined
x could be 7, as seen in the examples above.
But (x+3) is common in two, and we can have x+3=29*7, multiple of both 7 and 29, and thus satisfying both statements.
Thus, x+3=203…….x=200
Insufficient
E
1) \(x^4 − 3^4=(x^2-3^2)(x^2+3^2)=(x-3)(x+3)(x^2+9)\) is divisible by 29
When x=7, \((7+3)(7-3)(7^2+9)=10*4*58\). Since, it is divisible by 29, so x can be 7.
But, when x is 31, then too \((32+3)(32-3)(32^2+9)=35*29*(32^2+9)\) is divisible by 29.
Insufficient
2) \(x^4 + 3x^3=x^3(x+3)\) is divisible by 7
So x can be 4, 7 and so on.
Insufficient
Combined
x could be 7, as seen in the examples above.
But (x+3) is common in two, and we can have x+3=29*7, multiple of both 7 and 29, and thus satisfying both statements.
Thus, x+3=203…….x=200
Insufficient
E
29 Sep 2021, 08:01
Kudos
Bookmarks
chetan2u
chetan2u,
13*7*109= 9919, whereas 29*342=9918. Am i missing something here? I think the answer should be A. Please share your thoughts.
