GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Jan 2019, 09:25

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If a, b and c are distinct positive integers, what is the value of (a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52230
If a, b and c are distinct positive integers, what is the value of (a  [#permalink]

Show Tags

New post 05 Aug 2017, 23:57
1
4
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

36% (03:06) correct 64% (02:36) wrong based on 155 sessions

HideShow timer Statistics

Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 623
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: If a, b and c are distinct positive integers, what is the value of (a  [#permalink]

Show Tags

New post 06 Aug 2017, 03:24
1
Bunuel wrote:
If a, b and c are distinct positive integers, what is the value of (a + b + c)?

(1) \(2^{(2a+c)} + 3^b = 91\)

(2) \(2^{(a+2b)} + 3^{(\frac{c}{4})} = 13\)


(1)
\(2^{(2a+c)} + 3^b = 91\)
91 can only be 64 + 27
2a+c = 6 and b=3
now (a,b,c) can only be (1,3,4) (distinct positive integers)

Sufficient

(2)
\(2^{(a+2b)} + 3^{(\frac{c}{4})} = 13\)
13 can only be 4+9
c/4 = 2
c=8
a+2b = 2 (not possible) cannot identify the value of a+b as b or a cannot be 0
Not sufficient

A
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Senior Manager
Senior Manager
avatar
G
Joined: 02 Apr 2014
Posts: 474
GMAT 1: 700 Q50 V34
Re: If a, b and c are distinct positive integers, what is the value of (a  [#permalink]

Show Tags

New post 07 Nov 2017, 12:29
Hi Bunuel, how come statement 2 is valid given a,b,c distinct positive integers?

Please clarify

thanks
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: If a, b and c are distinct positive integers, what is the value of (a  [#permalink]

Show Tags

New post 07 Nov 2017, 12:46
1
hellosanthosh2k2 wrote:
Hi Bunuel, how come statement 2 is valid given a,b,c distinct positive integers?

Please clarify

thanks


Hey hellosanthosh2k2

B is not valid, that is the reason the answer is Option A.
If you have some other problem do let me know!

As already explained, a+2b = 2 is possible in 2 cases
case 1
a=0,b=1
case 2
b=0,a=2
As c has the value of 8, the value of the expression a+b+c could be 9 or 10

Hence, Option B is not sufficient
_________________

You've got what it takes, but it will take everything you've got

SVP
SVP
avatar
P
Joined: 12 Dec 2016
Posts: 1608
Location: United States
GMAT 1: 700 Q49 V33
GPA: 3.64
GMAT ToolKit User Premium Member
If a, b and c are distinct positive integers, what is the value of (a  [#permalink]

Show Tags

New post 23 Dec 2017, 13:01
it seems that there is no faster way to calculate. It tooks me 3.5 min. Also, the assumption here is that the value of (a+b+c) must have a value. In other words, if there is no value, then the statement is insufficient. For this reason, B is wrong.
GMAT Club Bot
If a, b and c are distinct positive integers, what is the value of (a &nbs [#permalink] 23 Dec 2017, 13:01
Display posts from previous: Sort by

If a, b and c are distinct positive integers, what is the value of (a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.