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

It is currently 15 Feb 2019, 11:02

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     February 15, 2019

     February 15, 2019

     10:00 PM EST

     11:00 PM PST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT practice

     February 15, 2019

     February 15, 2019

     10:00 PM EST

     11:00 PM PST

    Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need.

How many numbers between 1 and 200, inclusive, have a 2 in the units

  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: 6949
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post 11 Feb 2019, 01:44
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

81% (01:46) correct 19% (01:55) wrong based on 27 sessions

HideShow timer Statistics

[GMAT math practice question]

How many numbers between \(1\) and \(200\), inclusive, have a \(2\) in the units place and are divisible by \(4\)?

A. 8
B. 9
C. 10
D. 11
E. 12

_________________

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 $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7334
Premium Member Reviews Badge
Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post 11 Feb 2019, 03:21
MathRevolution wrote:
[GMAT math practice question]

How many numbers between \(1\) and \(200\), inclusive, have a \(2\) in the units place and are divisible by \(4\)?

\(A. 8\)
\(B. 9\)
\(C. 10\)
\([m]D. 11\)
E. 12[/m]



Hi...

The property of divisibility by 4 is that the last two digits are divisible by 4..
Now if the number is x2, x has to be an odd number for being divisible by 4, so x can take any of 5 odd numbers.
Alsi the hundreds digit could be 0 or 1 that is 0x2 or 1x2, so 2 ways

Total 2*5=10

C

OA is wrong as A is not the answer
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Intern
Intern
avatar
B
Joined: 14 May 2018
Posts: 32
Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post 11 Feb 2019, 03:53
MathRevolution wrote:
[GMAT math practice question]

How many numbers between \(1\) and \(200\), inclusive, have a \(2\) in the units place and are divisible by \(4\)?

\(A. 8\)
\(B. 9\)
\(C. 10\)
\([m]D. 11\)
E. 12[/m]


Just see the series
12,32,52...192

There will be 10 numbers

Ans:C
_________________

Now that I am done with my College Applications, I will try and be more regular here and help out aspirants and give back to this wonderful community. Please hit kudos if you like my answers.

Intern
Intern
avatar
B
Joined: 19 Jan 2019
Posts: 5
Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post 11 Feb 2019, 05:38
How is A the right answer... From 1 to 100 there are 5 multiples of 4 which have 2 in its units place ( 12,32,52,72,92).
The same repeats in 100-200 ( 112,132,152,172,192)

Therefore there are 10 such numbers.... Option c must be the right answer.

Posted from my mobile device
SVP
SVP
User avatar
G
Joined: 18 Aug 2017
Posts: 1770
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post Updated on: 12 Feb 2019, 04:43
MathRevolution wrote:
[GMAT math practice question]

How many numbers between \(1\) and \(200\), inclusive, have a \(2\) in the units place and are divisible by \(4\)?

\(A. 8\)
\(B. 9\)
\(C. 10\)
\([m]D. 11\)
E. 12[/m]



total integers divisible by 4 from 1 to 200 = 50
and unit digit of 2 would come when 4 is multiplied by 3 or 8
so
we can have two set of digit ranges ( 3,13,23,33,43) and ( 8,18,28,38,48)

total = 10
IMO C
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.


Originally posted by Archit3110 on 12 Feb 2019, 04:32.
Last edited by Archit3110 on 12 Feb 2019, 04:43, edited 1 time in total.
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 903
Location: India
Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post 12 Feb 2019, 04:42
MathRevolution wrote:
[GMAT math practice question]

How many numbers between \(1\) and \(200\), inclusive, have a \(2\) in the units place and are divisible by \(4\)?

\(A. 8\)
\(B. 9\)
\(C. 10\)
\([m]D. 11\)
E. 12[/m]


There will be a difference of 20 among the cases which have a \(2\) in the units place and are divisible by \(4\)

12 ,32,52,72,92,112,132,152,172,192

C
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6949
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: How many numbers between 1 and 200, inclusive, have a 2 in the units  [#permalink]

Show Tags

New post 13 Feb 2019, 00:54
=>

In order for a number with 2 in the units place to be divisible by 4, the last two digits must be one of 12, 32, 52, 72 and 92.
Thus, the numbers between 1 and 200, inclusive, satisfying this property are
12, 32, 52, 72, 92, 112, 132, 152 and 172.

There are 8 such numbers. Therefore, A is the answer.
Answer: A
_________________

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 $149 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: How many numbers between 1 and 200, inclusive, have a 2 in the units   [#permalink] 13 Feb 2019, 00:54
Display posts from previous: Sort by

How many numbers between 1 and 200, inclusive, have a 2 in the units

  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®.