Find all School-related info fast with the new School-Specific MBA Forum

It is currently 16 Sep 2014, 01:45

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x, y, and z are three-digit positive integers and if x =

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
Manager
Manager
User avatar
Joined: 23 Aug 2011
Posts: 84
Followers: 3

Kudos [?]: 55 [2] , given: 13

If x, y, and z are three-digit positive integers and if x = [#permalink] New post 18 Sep 2012, 08:10
2
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

55% (02:08) correct 45% (01:30) wrong based on 369 sessions
If x, y, and z are three-digit positive integers and if x = y + z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?

(1) The tens digit of x is equal to the sum of the tens digits of y and z.
(2) The units digit of x is equal to the sum of the units digits of y and z.

[Reveal] Spoiler:
Is it safe to conclude that the place value of an integer number (represented as a sum of different integers), depends upon only the preceding place value of integers being summed up?

for eg:
x=1000a+100b+10c+1d
y=1000e+100f+10g+1h
z=1000l+100m+10n+1p
if z=x+y then

is l only dependent upon value of b and f or some other parameters also??
[Reveal] Spoiler: OA

_________________

Whatever one does in life is a repetition of what one has done several times in one's life!
If my post was worth it, then i deserve kudos :)


Last edited by Bunuel on 18 Sep 2012, 08:16, edited 1 time in total.
Renamed the topic and edited the question.
3 KUDOS received
Intern
Intern
avatar
Joined: 02 Nov 2009
Posts: 44
Location: India
Concentration: General Management, Technology
GMAT Date: 04-21-2013
GPA: 4
WE: Information Technology (Internet and New Media)
Followers: 3

Kudos [?]: 36 [3] , given: 8

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 18 Sep 2012, 10:06
3
This post received
KUDOS
Let x= a b c
y = d e f
z= g h i

x= y+z

1 --> b= e+h which in turn implies c=f+i and so a=d+g (and this implies there is no carry forward in the addition of units and tens place digit of the two numbers)

2--> c=f+i which does not tell us if b= e+h(as there could be a carry forward bcos of this addition to the hundred place)

and so the answer is A
_________________

KPV

2 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 15

Kudos [?]: 195 [2] , given: 11

GMAT ToolKit User GMAT Tests User
Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 19 Sep 2012, 23:12
2
This post received
KUDOS
1
This post was
BOOKMARKED
x = ABC
y = DEF
z = GHI

DEF
+GHI
_____
ABC

Question: Is D + G = A? This is true if there is no carry-over from the tens digits' sum.

1. E + H = B, This means there is no carry over to hundreds position. SUFFICIENT.
2. C + F = I, This means there is no carry over to tens position BUT we do not know if there will be a carry over during the sum of tens. INSUFFICIENT.

Answer: A
_________________

Impossible is nothing to God.


Last edited by mbaiseasy on 15 Jan 2013, 00:23, edited 1 time in total.
2 KUDOS received
VP
VP
User avatar
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1125
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Followers: 112

Kudos [?]: 1148 [2] , given: 219

GMAT ToolKit User GMAT Tests User
Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 13 Apr 2013, 10:27
2
This post received
KUDOS
mokura wrote:

my confusion is the following regarding (1). maybe i am not reading the question right, but assume the following:

y: 6 4 3
z: 4 4 2

x: 1 0 8 5

so, the tens digit of x is equal to the sum of the tens digit of y + z. however, the hundreds digit, 6 + 4 = 1 0. The hundreds digit of x would be 0. can someone please explain? thank you :)


Your problem is very simple : "x, y, and z are three-digit positive integers".
x cannot be 1085, it must be \leq{999}

P.S: welcome to GmatClub!
_________________

It is beyond a doubt that all our knowledge that begins with experience.

Kant , Critique of Pure Reason

Tips and tricks: Inequalities , Mixture | Review: MGMAT workshop
Strategy: SmartGMAT v1.0 | Questions: Verbal challenge SC I-II- CR New SC set out !! , My Quant

Rules for Posting in the Verbal Forum - Rules for Posting in the Quant Forum[/size][/color][/b]

Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29636
Followers: 3487

Kudos [?]: 26180 [2] , given: 2706

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 21 Aug 2013, 06:45
2
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
fozzzy wrote:
If x, y, and z are three-digit positive integers and if x = y + z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?

(1) The tens digit of x is equal to the sum of the tens digits of y and z.
(2) The units digit of x is equal to the sum of the units digits of y and z.

Is there an alternative approach for this problem?


The question basically asks whether there is a carry over 1 from the tens place to the hundreds place.

Consider the following examples:
(i)
123
234
357

Here when we add the tens digits 2 and 3 there is no carry over 1 from the tens place to the hundreds place, thus the hundreds digit of x (3) is equal to the sum of the hundreds digits of y (1) and z (2).

(ii)
153
147
300

Here when we add the tens digits 5 and 4 and carry over 1 from the units place, we get 10, so we have carry over 1 from the tens place to the hundreds place, thus the hundreds digit of x (3) does NOT equal to the sum of the hundreds digits of y (1) and z (1).

The first statement implies that there is no carry over 1 from the tens place to the hundreds place, thus the hundreds digit of x is equal to the sum of the hundreds digits of y and z. Sufficient.

The second statement does not provide us with sufficient information about carry over 1 from the tens place to the hundreds place.

Answer: A.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29636
Followers: 3487

Kudos [?]: 26180 [2] , given: 2706

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 19 Jan 2014, 09:28
2
This post received
KUDOS
Expert's post
Abheek wrote:
For Statement I my problem pertains to the fact that the ten's digit of x will be expressed as ten's digit of y + ten's digit of z.
But if y=190 ,z=190 then x =380 the 1 does carry over from the ten's digit.
Although the ten's digit of x is the sum of ten's digit of y and z.

Please Elaborate


The tens digit of y is 9 and the tens digit of z is 9 --> 9+9=18 not 8.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Manager
Manager
avatar
Joined: 02 Jun 2011
Posts: 114
Followers: 0

Kudos [?]: 23 [0], given: 5

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 18 Sep 2012, 10:04
conty911 wrote:
If x, y, and z are three-digit positive integers and if x = y + z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?

(1) The tens digit of x is equal to the sum of the tens digits of y and z.
(2) The units digit of x is equal to the sum of the units digits of y and z.

[Reveal] Spoiler:
Is it safe to conclude that the place value of an integer number (represented as a sum of different integers), depends upon only the preceding place value of integers being summed up?

for eg:
x=1000a+100b+10c+1d
y=1000e+100f+10g+1h
z=1000l+100m+10n+1p
if z=x+y then

is l only dependent upon value of b and f or some other parameters also??


Question is demanding 100 digit of Y + 100 digit of Z is equal to 100 digit of X, means there will not be any carryover from the sum of tens digit of Y and Z. therefore from Option 1, sum of tens digit of Y and Z equal to of X means there will not be any carryforward from here to 100 digit of Y and Z. therefore option 1 is sufficient to answer.
Option 2 unit digit sum is equal, will not give any indication whether tens digit will not carryforward any to hundered. therefore this is not sufficient.

ANswer "A"
Intern
Intern
avatar
Joined: 01 Jun 2012
Posts: 26
Concentration: Entrepreneurship, Social Entrepreneurship
WE: Information Technology (Consulting)
Followers: 0

Kudos [?]: 5 [0], given: 4

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 18 Sep 2012, 20:13
The concern here is the sum of the tenth digit might have a carryover, so the sum of the hundredth digit on Y & Z might not be equal to X's hundredth digit. So A is the right answer.
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 930
Followers: 11

Kudos [?]: 271 [0], given: 543

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 14 Jan 2013, 01:52
abhishekkpv wrote:
Let x= a b c
y = d e f
z= g h i

x= y+z

1 --> b= e+h which in turn implies c=f+i and so a=d+g (and this implies there is no carry forward in the addition of units and tens place digit of the two numbers)

2--> c=f+i which does not tell us if b= e+h(as there could be a carry forward bcos of this addition to the hundred place)

and so the answer is A


so this is sort of a number property?
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Senior Manager
Senior Manager
User avatar
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 278
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Followers: 9

Kudos [?]: 20 [0], given: 282

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 23 Feb 2013, 02:18
Let the 3 digit numbers be,
x=ABC
y=DEF
z=GHI

Now, its given that
DEF
+ GHI
_____
ABC
_____

Statement 1---- says that E+H=B. Substitute any digit for E and H, you will find that D+G must be equal to A. Sufficient
Statement2.......says F+I=C. E and H can be anything and in turn D and G can be anything. Not sufficient.
_________________

I've failed over and over and over again in my life and that is why I succeed--Michael Jordan
Kudos drives a person to better himself every single time. So Pls give it generously
Wont give up till i hit a 700+

Intern
Intern
avatar
Joined: 13 Apr 2013
Posts: 25
Followers: 0

Kudos [?]: 1 [0], given: 3

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 13 Apr 2013, 10:23
abhishekkpv wrote:
Let x= a b c
y = d e f
z= g h i

x= y+z

1 --> b= e+h which in turn implies c=f+i and so a=d+g (and this implies there is no carry forward in the addition of units and tens place digit of the two numbers)

2--> c=f+i which does not tell us if b= e+h(as there could be a carry forward bcos of this addition to the hundred place)

and so the answer is A



my confusion is the following regarding (1). maybe i am not reading the question right, but assume the following:

y: 6 4 3
z: 4 4 2

x: 1 0 8 5

so, the tens digit of x is equal to the sum of the tens digit of y + z. however, the hundreds digit, 6 + 4 = 1 0. The hundreds digit of x would be 0. can someone please explain? thank you :)
Intern
Intern
avatar
Joined: 13 Apr 2013
Posts: 25
Followers: 0

Kudos [?]: 1 [0], given: 3

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 13 Apr 2013, 10:29
Zarrolou wrote:
mokura wrote:

my confusion is the following regarding (1). maybe i am not reading the question right, but assume the following:

y: 6 4 3
z: 4 4 2

x: 1 0 8 5

so, the tens digit of x is equal to the sum of the tens digit of y + z. however, the hundreds digit, 6 + 4 = 1 0. The hundreds digit of x would be 0. can someone please explain? thank you :)


Your problem is very simple : "x, y, and z are three-digit positive integers".
x cannot be 1085, it must be \leq{999}

P.S: welcome to GmatClub!




ouffff :) thanks so much for the quick reply and clarification. should re-read the question next time :)
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 930
Followers: 11

Kudos [?]: 271 [0], given: 543

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 21 Aug 2013, 05:14
Is there an alternative approach for this problem?
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Intern
Intern
avatar
Joined: 21 Sep 2013
Posts: 11
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 19 Jan 2014, 09:16
For Statement I my problem pertains to the fact that the ten's digit of x will be expressed as ten's digit of y + ten's digit of z.
But if y=190 ,z=190 then x =380 the 1 does carry over from the ten's digit.
Although the ten's digit of x is the sum of ten's digit of y and z.

Please Elaborate
Intern
Intern
avatar
Joined: 21 Sep 2013
Posts: 11
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: If x, y, and z are three-digit positive integers and if x = [#permalink] New post 19 Jan 2014, 09:35
Ah. Got it now thanks

Posted from my mobile device Image
Re: If x, y, and z are three-digit positive integers and if x =   [#permalink] 19 Jan 2014, 09:35
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If x, y, and z are positive integers, is x - y - z positive ? clipea12 1 14 Sep 2014, 22:42
The positive integers x, y and z Countdown 0 03 Jul 2013, 04:08
6 Experts publish their posts in the topic If x, y, and z are positive integers, and (x!+x)/z=y, then Marco83 5 19 Dec 2009, 14:26
The numbers x and y are three-digit positive integers, and x gluon 3 11 Sep 2007, 17:54
The numbers x and y are three-digit positive integers, and x TOUGH GUY 5 12 May 2006, 10:55
Display posts from previous: Sort by

If x, y, and z are three-digit positive integers and if x =

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.