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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

If x, y, and z are three-digit positive integers and if x = [#permalink]
18 Sep 2012, 08:10

3

This post received KUDOS

25

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

75% (hard)

Question Stats:

56% (02:17) correct
44% (01:40) wrong based on 700 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.

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??

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
21 Aug 2013, 06:45

7

This post received KUDOS

Expert's post

11

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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
18 Sep 2012, 10:06

4

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)

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
19 Jan 2014, 09:28

4

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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
13 Apr 2013, 10:27

3

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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
19 Sep 2012, 23:12

2

This post received KUDOS

3

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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
17 Dec 2014, 13:42

1

This post received KUDOS

Ok let me clarify my question:

153 147 300

In this case the hundreds digit became 3 because the unit total 10 --> carries 1 to the tens digit --> tens digit adds to 10, so carries 1 to the hundreds digit. The hundreds digit thus = 3

vs

152 147 299

In this case the hundreds digit remains 2 because the unit total didn't exceed 9 --> nothing carries over to the tens digit (i.e. tens digit remains 9), The hundreds digit thus = remains 2

So don't we need to know the unit digit AND the tens digit to confirm whether the hundreds digit will remain 2 or pushed to 3?

(I'm not sure why I'm just not getting it!!)[/quote]

Your first example does NOT satisfy the first statement: the tens digit of x is equal to the sum of the tens digits of y and z. So, it'as not valid. Sorry, cannot explanation any better.[/quote]

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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.

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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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? _________________

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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+

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
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.

Re: If x, y, and z are three-digit positive integers and if x = [#permalink]
17 Dec 2014, 04:18

Bunuel wrote:

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.

Can you please clarify this. I am not sure why the carry over of 1 will not happen.

If x, y, and z are three-digit positive integers and if x = [#permalink]
17 Dec 2014, 04:35

Bunuel wrote:

ColdSushi wrote:

Hi Guys,

I thought statement #1 can't be correct alone because (I thought) we must know that BOTH the unit & the tens digits do not carry over:

i.e.

153 147 300

vs

152 147 299

Don't we need to know that both to confirm that the hundreds digit is a 3 rather than 2?

But in your second example there IS a carry over 1 from the tens place to the hundreds place. No?

Ok let me clarify my question:

153 147 300

In this case the hundreds digit became 3 because the unit total 10 --> carries 1 to the tens digit --> tens digit adds to 10, so carries 1 to the hundreds digit. The hundreds digit thus = 3

vs

152 147 299

In this case the hundreds digit remains 2 because the unit total didn't exceed 9 --> nothing carries over to the tens digit (i.e. tens digit remains 9), The hundreds digit thus = remains 2

So don't we need to know the unit digit AND the tens digit to confirm whether the hundreds digit will remain 2 or pushed to 3?

(I'm not sure why I'm just not getting it!!)

gmatclubot

If x, y, and z are three-digit positive integers and if x =
[#permalink]
17 Dec 2014, 04:35

On September 6, 2015, I started my MBA journey at London Business School. I took some pictures on my way from the airport to school, and uploaded them on...

When I was growing up, I read a story about a piccolo player. A master orchestra conductor came to town and he decided to practice with the largest orchestra...

I’ll start off with a quote from another blog post I’ve written : “not all great communicators are great leaders, but all great leaders are great communicators.” Being...