December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL. December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 04 May 2011
Posts: 12

The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
09 May 2011, 05:51
Question Stats:
80% (01:41) correct 20% (02:20) wrong based on 2491 sessions
HideShow timer Statistics
The value of \(\frac{2^{(14)} + 2^{(15)} + 2^{(16)} + 2^{(17)}}{5}\) is how many times the value of \(2^{(17)}\)? A. 3/2 B. 5/2 C. 3 D. 4 E. 5
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 51121

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
14 Apr 2012, 13:50
andih wrote: The value of (2^14)+(2^15)+(2^16) + (2^17) is how times the value of 2^17?
A. 3/2
B. 5/2
C. 3
D. 4
E. 5 Original question reads: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is how many times the value of 2^(17)?We need to find the value of: \(\frac{\frac{1}{5}*(2^{14}+2^{15}+2^{16}+2^{17})}{ 2^{17}}=\frac{\frac{1}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})}{\frac{1}{2^{17}}}\). Now, \(\frac{\frac{1}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})}{\frac{1}{2^{17}}}=\frac{2^{17}}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})=\frac{1}{5}*(2^3+2^2+2+1)=\frac{1}{5}*15=3\). Answer: C.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Manager
Joined: 14 Dec 2010
Posts: 140
Location: India
Concentration: Technology, Entrepreneurship

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
15 Apr 2012, 06:47
if you take 2^(17) common in the numerator, you will have 2^(17) { 8 + 4 + 2 + 1} which equals 15. This 15 cancels with 5 in the denominator and leaves {3} 2^(17). Slightly quicker this way i feel.




Retired Moderator
Joined: 16 Nov 2010
Posts: 1425
Location: United States (IN)
Concentration: Strategy, Technology

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
09 May 2011, 06:31
2^14+2^15+2^16+2^17/5 = 2^17(2*3 + 2^2 + 2 + 1)/5 = = 2^17 * 15/5 = 3(2^17) Answer  C
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Math Expert
Joined: 02 Sep 2009
Posts: 51121

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
02 Jul 2013, 00:17



Intern
Joined: 09 Sep 2013
Posts: 16

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
09 Oct 2013, 19:41
Bunuel wrote: andih wrote: The value of (2^14)+(2^15)+(2^16) + (2^17) is how times the value of 2^17?
A. 3/2
B. 5/2
C. 3
D. 4
E. 5 Original question reads: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is how many times the value of 2^(17)?We need to find the value of: \(\frac{\frac{1}{5}*(2^{14}+2^{15}+2^{16}+2^{17})}{ 2^{17}}=\frac{\frac{1}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})}{\frac{1}{2^{17}}}\). Now, \(\frac{\frac{1}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})}{\frac{1}{2^{17}}}=\frac{2^{17}}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})=\frac{1}{5}*(2^3+2^2+2+1)=\frac{1}{5}*15=3\). Answer: C. Why do we divide by 2^17? Thanks, C



Manager
Joined: 18 Dec 2012
Posts: 97
Location: India
Concentration: General Management, Strategy
GMAT 1: 660 Q49 V32 GMAT 2: 530 Q37 V25
GPA: 3.32
WE: Manufacturing and Production (Manufacturing)

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
09 Oct 2013, 20:15
runningguy wrote: Bunuel wrote: andih wrote: The value of (2^14)+(2^15)+(2^16) + (2^17) is how times the value of 2^17?
A. 3/2
B. 5/2
C. 3
D. 4
E. 5 Original question reads: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is how many times the value of 2^(17)?We need to find the value of: \(\frac{\frac{1}{5}*(2^{14}+2^{15}+2^{16}+2^{17})}{ 2^{17}}=\frac{\frac{1}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})}{\frac{1}{2^{17}}}\). Now, \(\frac{\frac{1}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})}{\frac{1}{2^{17}}}=\frac{2^{17}}{5}*(\frac{1}{2^{14}}+\frac{1}{2^{15}}+\frac{1}{2^{16}}+\frac{1}{2^{17}})=\frac{1}{5}*(2^3+2^2+2+1)=\frac{1}{5}*15=3\). Answer: C. Why do we divide by 2^17? Thanks, C It is given in the question. We need to find "how many times the value of 2^(17)" which means the entire expression is divided by 2^(17). The quotient is the answer Hope it is clear
_________________
I'm telling this because you don't get it. You think you get it which is not the same as actually getting it. Get it?



Intern
Joined: 29 Sep 2013
Posts: 47

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
21 Oct 2013, 08:50
andih wrote: The value of \(2^{14} + 2^{15} + 2^{16} + 2^{17}/5\) is how many times the value of 2^{17}?
A. 3/2 B. 5/2 C. 3 D. 4 E. 5 \(2^{14} + 2^{15} + 2^{16} + 2^{17}/5\) > Factor out from the nominator \(2^{17}\) \(2^{17}(2^3+2^2+2^1+1)/5\) \(2^{17}(8+4+2+1)/5\) \(2^{17}*15/5\) \(2^{17}*3\) Therefore, the equation is \(3\) times the value of \(2^{17}\) and our answer is Comments please!



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
26 Feb 2014, 01:56
suk1234 wrote: andih wrote: The value of \(2^{14} + 2^{15} + 2^{16} + 2^{17}/5\) is how many times the value of 2^{17}?
A. 3/2 B. 5/2 C. 3 D. 4 E. 5 \(2^{14} + 2^{15} + 2^{16} + 2^{17}/5\) > Factor out from the nominator \(2^{17}\) \(2^{17}(2^3+2^2+2^1+1)/5\) \(2^{17}(8+4+2+1)/5\) \(2^{17}*15/5\) \(2^{17}*3\) Therefore, the equation is \(3\) times the value of \(2^{17}\) and our answer is Comments please! How many times the value of 2^{17} means just multiply the complete equation by 2^17 (Please note the power sign has been changed) & we get the answer (8+4+2+1) / 5 = 3 = Answer = C
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 05 Aug 2013
Posts: 8
Location: Hong Kong

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
30 Jun 2014, 17:31
The question asked the value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is how many times the value of 2^(17)?
Lets say (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 = x* 2^(17) > (X times of 2^(17)), So basically we need to find what is x ?
looks like we need to simplify the exponents to make given values in form desire one ..
lets Simplify Given Part , if we take 2^(17) from numerator the simplified numerator will be ..
2^(17)(2^(3) + 2^(2) + 2^(1) + 2^(0) )/5 = x*2^(17)
why 2^(3) + 2^(2) ..... ? because if we want to make 2^(17) = 2^(14) we required to add 2^(3) positive power . same for other...
now divide 2^(17) both side , x = (2^(3) + 2^(2) + 2^(1) + 2^(0) )/5 => x= (8+4+2+1)/5 => x =15/5 => x=3 Answer is C.



Intern
Joined: 05 Sep 2014
Posts: 3

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
12 Sep 2014, 00:53
hi according to answer 2^17 (Please note the power sign has been changed) & we get the answer
(8+4+2+1) / 5 = 3
how you reach this (8+4+2+1)????



Director
Joined: 10 Mar 2013
Posts: 504
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
27 Apr 2015, 12:47
See attachment Time: 30 Seconds
Attachments
Solution.PNG [ 4.04 KiB  Viewed 38842 times ]
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



SVP
Joined: 06 Nov 2014
Posts: 1880

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
06 Jun 2016, 07:45
(2^14 + 2^15 + 2^16 + 2^17)/5 = 2^17*(2^3 + 2^2 + 2 + 1) / 5 = 2^17 * (15)/5 = 2^17 * 3
Correct Option: C



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4278
Location: United States (CA)

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
21 Jul 2016, 09:41
carollu wrote: The value of \(\frac{2^{(14)} + 2^{(15)} + 2^{(16)} + 2^{(17)}}{5}\) is how many times the value of \(2^{(17)}\)?
A. 3/2 B. 5/2 C. 3 D. 4 E. 5 We start by translating the question. We are asked (2^14) + (2^15) + (2^16) + (2^17) is how times the value of 2^17. We can express it as the following: The answer is C.
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Manager
Joined: 20 Apr 2014
Posts: 90

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
22 Aug 2016, 14:15
I think we can solve it another way. please expert correct me if I am wrong. 2^(17)* (2^3+2^2+2^1+1)/5 = 2^(17)*(8+4+2+1)/5 2^(17)*(15)/5 = 2^(17)*(3) So finally, (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is 3 time 2^(17). I think It is simple and direct. but one should get the idea. It is wordy and looks complicated and let me be scared.



Manhattan Prep Instructor
Joined: 04 Dec 2015
Posts: 649

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
22 Aug 2016, 14:22
Riffing on Scott's solution above. Instead of 'pulling out' a 2^17, you can multiply both sides by 2^17 to simplify all of the exponents.
Attachments
gmatclub 217.png [ 27.9 KiB  Viewed 30716 times ]
_________________



Intern
Joined: 07 Aug 2016
Posts: 12
Location: Brazil
Concentration: Economics, Marketing
Schools: HBS '20, Wharton '20, Kellogg '20, Haas '20, IESE '20, Rotman '20, Schulich Jan 18 Intake, IE Sept18 Intake, ESADE '20, Desautels '20, Sauder '20, AGSM '19, Queen's MBA'20
WE: Project Management (Energy and Utilities)

The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
27 May 2017, 08:27
Is it possible for us to just assume that 2^\({14}\) + 2^ \({15}\) .... is the same as 2^\({1}\) + 2^ \({2}\)+ 2^ \({3}\)+ 2^ \({4}\) /5?
for me it worked well.... then we need to know how much is 2^ \({4}\) from that expression
it will give us \((\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16})/5\) which is equal to 15/80 > or 3/16........ which is 3 times 2^ \({4}\)



Senior Manager
Status: love the club...
Joined: 24 Mar 2015
Posts: 271

The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
14 Aug 2017, 10:29
carollu wrote: The value of \(\frac{2^{(14)} + 2^{(15)} + 2^{(16)} + 2^{(17)}}{5}\) is how many times the value of \(2^{(17)}\)?
A. 3/2 B. 5/2 C. 3 D. 4 E. 5 hi what is wrong with below ...? 2^14( 1 + 1/2 + 1/4 + 1/8) = 2^14 x 15/8 x 1/5 = 2^14 x 3/8 now it is 2^14 x 3/8 x 1/2^17.. = 3 times anticipating experts' sage advice ....



Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 671
Location: United States (CA)
Age: 38
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42
WE: Education (Education)

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
20 Sep 2017, 09:34
Attached is a visual that should help.
Attachments
Screen Shot 20170920 at 10.31.39 AM.png [ 98.14 KiB  Viewed 10995 times ]
_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching worldwide since 2002.
One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V (1 question wrong).
You can download my official testtaker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y94hlarr Date of Birth: 09 December 1979.
GMAT Action Plan and Free EBook  McElroy Tutoring
Contact: mcelroy@post.harvard.edu (I do not respond to PMs on GMAT Club.)
...or find me on Reddit: http://www.reddit.com/r/GMATpreparation



Intern
Joined: 06 Apr 2016
Posts: 25

Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is
[#permalink]
Show Tags
08 Oct 2017, 05:43
carollu wrote: The value of \(\frac{2^{(14)} + 2^{(15)} + 2^{(16)} + 2^{(17)}}{5}\) is how many times the value of \(2^{(17)}\)?
A. 3/2 B. 5/2 C. 3 D. 4 E. 5 I found the following answer to be the most simplest, \(\frac{2^{(14)} + 2^{(15)} + 2^{(16)} + 2^{(17)}}{5}\) = \(\frac{2^{(14)} (1+2^{(1)}+2^{(2)}+2^{(3)})}{5}\) = {2^(14) [(2^3)+(2^2)+2+1]/(2^3)} / 5 = {2^(17) [8+4+2+1] / 5 = 2^(17) * 3 Ans C




Re: The value of (2^(14) + 2^(15) + 2^(16) + 2^(17))/5 is &nbs
[#permalink]
08 Oct 2017, 05:43



Go to page
1 2
Next
[ 21 posts ]



