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 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 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
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.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
Updated on: 08 Nov 2023, 07:49
Originally posted by NoHalfMeasures on 06 Jun 2014, 03:03.
Last edited by Bunuel on 08 Nov 2023, 07:49, edited 6 times in total.
Last edited by Bunuel on 08 Nov 2023, 07:49, edited 6 times in total.
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:33) correct
18%
(02:00)
wrong
based on 1011
sessions
History
Date
Time
Result
Not Attempted Yet
If \(x\neq{-1}\), then \(\frac{1- x^{16}}{(1+x)(1+x^2)(1+x^4)(1+x^8)}\) is equal to
A. -1
B. 1
C. x
D. 1 - x
E. x - 1
PS07007
A. -1
B. 1
C. x
D. 1 - x
E. x - 1
PS07007
If this question felt shaky,
try an adaptive mini quiz of similar problems in
GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
06 Jun 2014, 03:43
Kudos
Bookmarks
Bunuel, Thanks for the correction 
Answer = D
Numerator
\(1 - x^{16}\)
\(= (1 + x^8) (1 - x^8)\)
\(= (1 + x^8) (1 + x^4) (1 - x^4)\)
\(= (1 + x^8) (1 + x^4) (1 + x^2) (1 - x^2)\)
\(= (1 + x^8) (1 + x^4) (1 + x^2) (1 + x) (1 - x)\)
Denominator
\((1 + x^8) (1 + x^4) (1 + x^2) (1 + x)\)
Expanded / simplified equation would be
\(\frac{(1 + x^8) (1 + x^4) (1 + x^2) (1 + x) (1 - x)}{(1 + x^8) (1 + x^4) (1 + x^2) (1 + x)}\)
= 1 - x
Answer = D
Answer = D
Numerator
\(1 - x^{16}\)
\(= (1 + x^8) (1 - x^8)\)
\(= (1 + x^8) (1 + x^4) (1 - x^4)\)
\(= (1 + x^8) (1 + x^4) (1 + x^2) (1 - x^2)\)
\(= (1 + x^8) (1 + x^4) (1 + x^2) (1 + x) (1 - x)\)
Denominator
\((1 + x^8) (1 + x^4) (1 + x^2) (1 + x)\)
Expanded / simplified equation would be
\(\frac{(1 + x^8) (1 + x^4) (1 + x^2) (1 + x) (1 - x)}{(1 + x^8) (1 + x^4) (1 + x^2) (1 + x)}\)
= 1 - x
Answer = D
17 Jan 2019, 00:12
Kudos
Bookmarks
rashedBhai
Pick x = 1. In this case the numerator is 0, thus the whole fraction is 0. Now, plug x = 1 into the options to check which of them give 0. Only D and E fit.
Now, pick x = 2. In this case the numerator is negative and the denominator is positive, thus the whole fraction is negative. Out of D and E, only D is negative if x = 2.
Answer: D.
