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

It is currently 07 Dec 2019, 06:44

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

A month with 31 days has the same number of Mondays and Wednesdays.How

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59589
A month with 31 days has the same number of Mondays and Wednesdays.How  [#permalink]

Show Tags

New post 31 Mar 2019, 20:47
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

46% (02:02) correct 54% (01:47) wrong based on 65 sessions

HideShow timer Statistics

Director
Director
avatar
G
Joined: 22 Nov 2018
Posts: 562
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 660 Q48 V33
GMAT ToolKit User Premium Member
Re: A month with 31 days has the same number of Mondays and Wednesdays.How  [#permalink]

Show Tags

New post 31 Mar 2019, 21:05
31/7 = 4 full weeks + 3 days.
If the week starts on Sunday then 29th day will again be sun and 31st will be tue having 5 mon and 4 wed. So not possible.
Using the same logic Monday, Thursday, and Friday are possible.
Hence option B 3

Posted from my mobile device
Senior Manager
Senior Manager
avatar
P
Joined: 18 Jan 2018
Posts: 304
Location: India
Concentration: General Management, Healthcare
Schools: Booth '22, ISB '21, IIMB
GPA: 3.87
WE: Design (Manufacturing)
GMAT ToolKit User
A month with 31 days has the same number of Mondays and Wednesdays.How  [#permalink]

Show Tags

New post 02 Apr 2019, 07:50
A month with 31 days has 4 full weeks and 3 days .
So we can either have 4 Monday and wed in Full week , or 5 ( Monday -Wednesday , in the last 3 days ).

IF i consider 5 mondays and 5 wednesdays , only 1 possibility , 1st of next month should be Thursday.
:Moday-29,Tues-30,Wed-31 ,Thusday-1st
If I consider 4 mondays and 4 Wednesdays , 2 possibilities , 1st of next month could be Sunday or Monday
: Thursday-29,Fri-30,Sat-31 ,Sun-1st Or Fri-29,Sat-30,Sun-31 ,Mon-1st

Total : 3 possibilities - Option B

Please give kudos if its clear :)
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8622
Location: United States (CA)
Re: A month with 31 days has the same number of Mondays and Wednesdays.How  [#permalink]

Show Tags

New post 05 Apr 2019, 07:36
Bunuel wrote:
A month with 31 days has the same number of Mondays and Wednesdays. How many of the seven days of the week could be the first day of this month?

A. 2
B. 3
C. 4
D. 5
E. 6


Let’s say the month is March (since it has 31 days) and let’s test each day of the week for 3/1.

If 3/1 is Monday, then 3/3 is Wednesday and 3/29 is Monday and 3/31 is Wednesday. We see that in this case, we have the same number of Mondays and Wednesdays. (Note: Here we are trying to look for the earliest Monday and Wednesday of the month and the latest Monday and Wednesday of the month and we want the following sequence: Monday, Wednesday, Monday, Wednesday.)

If 3/1 is Tuesday, then 3/2 is Wednesday and 3/7 is Monday and 3/28 is Monday and 3/30 is Wednesday. We see that in this case, we have one more Wednesday than Monday.

If 3/1 is Wednesday, then 3/6 is Monday and 3/27 is Monday and 3/29 is Wednesday. We see that in this case, we have one more Wednesday than Monday.

If 3/1 is Thursday, then 3/5 is Monday and 3/7 is Wednesday and 3/26 is Monday and 3/28 is Wednesday. We see that in this case, we have the same number of Mondays and Wednesdays.

If 3/1 is Friday, then 3/4 is Monday and 3/6 is Wednesday and 3/25 is Monday and 3/27 is Wednesday. We see that in this case, we have the same number of Mondays and Wednesdays.

If 3/1 is Saturday, then 3/3 is Monday and 3/5 is Wednesday and 3/26 is Wednesday and 3/31 is Monday. We see that in this case, we have one more Monday than Wednesday.

If 3/1 is Sunday, then 3/2 is Monday and 3/4 is Wednesday and 3/25 is Wednesday and 3/30 is Monday. We see that in this case, we have one more Monday than Wednesday.


So 3/1 (or the first day of the month) can be Monday, Thursday or Friday.

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: A month with 31 days has the same number of Mondays and Wednesdays.How   [#permalink] 05 Apr 2019, 07:36
Display posts from previous: Sort by

A month with 31 days has the same number of Mondays and Wednesdays.How

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





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