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

It is currently 21 Nov 2018, 12:48

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

     November 22, 2018

     November 22, 2018

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
  • Key Strategies to Master GMAT SC

     November 24, 2018

     November 24, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

In the 5-digit integer 54xy2, x and y are single digits. What is the p

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

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6535
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
In the 5-digit integer 54xy2, x and y are single digits. What is the p  [#permalink]

Show Tags

New post 15 Dec 2017, 07:29
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:43) correct 24% (02:13) wrong based on 56 sessions

HideShow timer Statistics

[GMAT math practice question]

In the 5-digit integer \(54xy2\), x and y are single digits. What is the probability that \(54xy2\) is divisible by 4?

A. \(\frac{1}{4}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{3}{4}\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1118
Re: In the 5-digit integer 54xy2, x and y are single digits. What is the p  [#permalink]

Show Tags

New post 15 Dec 2017, 10:14
MathRevolution wrote:
[GMAT math practice question]

In the 5-digit integer \(54xy2\), x and y are single digits. What is the probability that \(54xy2\) is divisible by 4?

A. \(\frac{1}{4}\)
B. \(\frac{1}{3}\)
C. \(\frac{1}{2}\)
D. \(\frac{2}{3}\)
E. \(\frac{3}{4}\)


any even digit in the tens place will work
any digit in the hundreds place will work
1/2*1=1/2
C
Senior Manager
Senior Manager
User avatar
P
Joined: 07 Jul 2012
Posts: 379
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Premium Member CAT Tests
Re: In the 5-digit integer 54xy2, x and y are single digits. What is the p  [#permalink]

Show Tags

New post 15 Dec 2017, 22:20
A number is divisible by 4 if the last two digits form a number divisible by 4.
So 54xy2 is divisible by 4 when y= (1,3,5,7,9)= 5 possible cases

54xy2 is not divisible by 4 when y= (0,2,4,6,8)= 5 possible cases

Required probability= \(\frac{5}{10}\)= \(\frac{1}{2}\)

Answer: C.
_________________

Kindly hit kudos if my post helps!

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6535
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: In the 5-digit integer 54xy2, x and y are single digits. What is the p  [#permalink]

Show Tags

New post 17 Dec 2017, 23:29
=>
The divisibility of \(54xy2\) by \(4\) depends on the last two digits only. So, \(54xy2\) is divisible by \(4\) exactly when \(10y + 2\) is divisible by \(4\).
Out of the possible values for \(10y + 2, 12, 32, 52, 72, 92\) are divisible by \(4\), but \(02, 22, 42, 62, 82\) are not. Therefore, the required probability is \(\frac{1}{2}\).

Therefore, the answer is C.

Answer : C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

GMAT Club Bot
Re: In the 5-digit integer 54xy2, x and y are single digits. What is the p &nbs [#permalink] 17 Dec 2017, 23:29
Display posts from previous: Sort by

In the 5-digit integer 54xy2, x and y are single digits. What is the p

  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®.