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

It is currently 15 Dec 2018, 00:04

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     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.
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z)

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

Hide Tags

Moderator
avatar
V
Joined: 21 Jun 2014
Posts: 1096
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
GMAT ToolKit User Premium Member
If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z)  [#permalink]

Show Tags

New post 30 Nov 2018, 05:04
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

98% (00:31) correct 2% (00:42) wrong based on 52 sessions

HideShow timer Statistics

If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z) = N, what is the units' digit of the number N?

(A) 0
(B) 1
(C) x
(D) y
(E) z

Project PS Butler : Question #49


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS

_________________

---------------------------------------------------------------
Target - 720-740
Project PS Butler - https://gmatclub.com/forum/project-ps-butler-practice-everyday-280904.html
http://gmatclub.com/forum/information-on-new-gmat-esr-report-beta-221111.html
http://gmatclub.com/forum/list-of-one-year-full-time-mba-programs-222103.html

Manager
Manager
User avatar
G
Joined: 09 Jun 2018
Posts: 184
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z)  [#permalink]

Show Tags

New post 30 Nov 2018, 07:09
1
10*z = z0, 100*x = x00, 1000*y = y000

Sum will be y000 + x00 + z0 = yxz0

So units digit will be 0.

Option A
_________________

If you found this relevant and useful, please Smash that Kudos button!

Intern
Intern
avatar
B
Joined: 05 Jan 2017
Posts: 2
Re: If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z)  [#permalink]

Show Tags

New post 30 Nov 2018, 14:16
Since we know that tens' and units' digits of N can be found in the product of \(10*z\) and that z is a single-digit integer, we can conclude that every allowable integer (i.e. from 0 to 9) multiplied by 10 will end with 0 (e.g. \(1*10=10\), \(6*10=60\), \(9*10=90\)). Hence, the correct answer is A.

We can also plug in possible numbers and check the result.

Let x=1, y=2, z=3:

\(N = 100*1+1000*2+10*3 = 100+2000+30 = 2130\)

It's clear that N 's last digit will always be 0.
GMAT Club Bot
Re: If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z) &nbs [#permalink] 30 Nov 2018, 14:16
Display posts from previous: Sort by

If x, y, and z are single-digit integers and 100(x) + 1,000(y) + 10(z)

  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®.