GMAT Club Forum
https://gmatclub.com:443/forum/

A number is to be written in each of the small squares in the figure
https://gmatclub.com/forum/a-number-is-to-be-written-in-each-of-the-small-squares-in-the-figure-324979.html
Page 1 of 1

Author:  Bunuel [ 23 May 2020, 08:36 ]
Post subject:  A number is to be written in each of the small squares in the figure


A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is the same as the sum of the numbers in any column: What number does x represent?

(1) z represents 5.
(2) y represents 8.


DS20400


Attachment:
1.png
1.png [ 3.24 KiB | Viewed 6457 times ]

Author:  Ravixxx [ 23 May 2020, 08:58 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

Bunuel wrote:

A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is the same as the sum of the number s in any column: What number does x represent?

(1) z represents 5.
(2) y represents 8.


DS20400


Attachment:
1.png


(1) z represents 5.
\(4+5+y=9+x+y\)
\(9+y=9+x+y\)
\(x=0\)

Sufficient

(2) y represents 8.
\(4+8+z=9+8+x\)
\(12+z=17+x\)
\(z=5+x\)
Not sufficient

Answer A

Author:  bM22 [ 24 May 2020, 01:15 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

Bunuel wrote:

A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is the same as the sum of the number s in any column: What number does x represent?

(1) z represents 5.
(2) y represents 8.


DS20400
Attachment:
1.png


Given: 9+ x + y = 4 + y + z

Statement 1: z represents 5.
=> 9+ x + y = 4 + y + z
=> 9 + x + y = 9 + y
=> x = 0.
Sufficient.


Statement 2: y represents 8.
9 + x + 8 = 4 + 8 + z.
1 equation, 2 unknowns, thus Insufficient.

Answer A.

Author:  NitishJain [ 25 May 2020, 13:36 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

As per qth stem: 9 + x+ y = 4 + y +z
or 5 + x = z
or x = z -5

If we get z, we will get x

Let's analyze the statements:

I: z= 5: As per initial analysis; we can get x SUFFICIENT
II: y = 8; we cannot get z or x using this. NOT SUFFICIENT

Hence A

Author:  Basshead [ 25 Nov 2020, 16:18 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

Bunuel wrote:

A number is to be written in each of the small squares in the figure above so that the sum of the numbers in any row is the same as the sum of the number s in any column: What number does x represent?

(1) z represents 5.
(2) y represents 8.


DS20400


Attachment:
1.png


(1) z represents 5.

\(4 + y + 5 = 9 + x + y\)

\(9 + y = 9 + x + y\)

\(0 = x\)

SUFFICIENT.

(2) y represents 8.

\(4 + y + z = 9 + x + y\)

\(4 + 8 + z = 9 + x + 8\)

\(12 + z = 17 + x\)

We have two variables remaining; INSUFFICIENT.

Answer is A.

Author:  CEdward [ 28 Nov 2020, 12:59 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

Why is B not sufficient? I used a plug and play approach.

The square would look like this:

5 9 3
8 0 9
4 8 5

Each row and column adds up to 17. x = 0.

Author:  gmexamtaker1 [ 30 Jan 2021, 07:32 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

CEdward wrote:
Why is B not sufficient? I used a plug and play approach.

The square would look like this:

5 9 3
8 0 9
4 8 5

Each row and column adds up to 17. x = 0.


Hello CEdward,

The reason why B is not sufficient is because more than one value of x can satisfy the condition, just try to put x=1 and z=6 you will see that it satisfies the condition.

Author:  pranskius [ 19 Aug 2021, 18:25 ]
Post subject:  A number is to be written in each of the small squares in the figure

Is it just me who was thrown off by the official GMAT question asking "sum of the number s in any column"? For 30 seconds I was trying to figure out, what do they mean by "number S"...

Author:  bumpbot [ 26 Dec 2022, 04:44 ]
Post subject:  Re: A number is to be written in each of the small squares in the figure

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Page 1 of 1 All times are UTC - 8 hours [ DST ]
Powered by phpBB © phpBB Group
http://www.phpbb.com/