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

It is currently 13 Dec 2019, 15:16

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

If m is a positive integer and q+4=7^m , which of the following could

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

Hide Tags

Find Similar Topics 
Director
Director
User avatar
V
Status: Manager
Joined: 27 Oct 2018
Posts: 756
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
If m is a positive integer and q+4=7^m , which of the following could  [#permalink]

Show Tags

New post 29 Nov 2019, 05:28
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (01:08) correct 9% (01:09) wrong based on 23 sessions

HideShow timer Statistics

If m is a positive integer and \(q+4=7^m\) , which of the following could NOT be a value of q ?

A) 3

B) 45

C) 54

D) 339

E) 2397

Source: Ready4Gmat
VP
VP
User avatar
V
Joined: 19 Oct 2018
Posts: 1174
Location: India
Premium Member CAT Tests
Re: If m is a positive integer and q+4=7^m , which of the following could  [#permalink]

Show Tags

New post 29 Nov 2019, 07:16
7^m= 0 mod 7

q=(7-4) mod 7= 3 mod 7

q must leave 3 remainder when divided by 7

54= 5 mod 7

C


MahmoudFawzy wrote:
If m is a positive integer and \(q+4=7^m\) , which of the following could NOT be a value of q ?

A) 3

B) 45

C) 54

D) 339

E) 2397

Source: Ready4Gmat
GMAT Tutor
User avatar
S
Joined: 17 Sep 2014
Posts: 290
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: If m is a positive integer and q+4=7^m , which of the following could  [#permalink]

Show Tags

New post 29 Nov 2019, 12:01
MahmoudFawzy wrote:
If m is a positive integer and \(q+4=7^m\) , which of the following could NOT be a value of q ?

A) 3

B) 45

C) 54

D) 339

E) 2397

Source: Ready4Gmat


q + 4 must be a power of 7. Powers grow very fast so the four correct choices of q will also grow very fast. The numbers that should strike out are B and C since they are too close. One of them will make q + 4 a power of 7 and the other choice won't. Plugging in B gives q + 4 = 49, so the incorrect choice must be C.

Ans: C
_________________
Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the fastest in the world. Feel free to reach out!
GMAT Club Bot
Re: If m is a positive integer and q+4=7^m , which of the following could   [#permalink] 29 Nov 2019, 12:01
Display posts from previous: Sort by

If m is a positive integer and q+4=7^m , which of the following could

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





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