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Director  B
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Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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9 00:00

Difficulty:   5% (low)

Question Stats: 88% (01:00) correct 12% (01:23) wrong based on 1394 sessions

### HideShow timer Statistics Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment: 9ritro.jpg [ 6.67 KiB | Viewed 19056 times ]

Originally posted by AbdurRakib on 16 Jun 2017, 03:50.
Last edited by Bunuel on 16 Jun 2017, 03:52, edited 1 time in total.
Edited the question.
Math Expert V
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Posts: 60480
Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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AbdurRakib wrote: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment:
9ritro.jpg

5 boxes labeled X + 3 boxes labeled Y= 8;
2 boxes labeled V + 2 boxes labeled W = 4;

Ratio = 8:4 = 2:1.

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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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AbdurRakib wrote: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment:
9ritro.jpg

Given:
X, X, X, Y, Y, V
V, X, X, Y, W, W

# of X's and Y's = 8
# of V's and W's = 4

(Number of squares with X or Y) : (Number of squares with V or W) = 8 : 4 = 2 : 1

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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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AbdurRakib wrote: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment:
9ritro.jpg

Total Boxes labelled x or y = 8

Total Boxes labelled v or w = 4

$$Ratio = 8:4 = 2:1$$

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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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1
AbdurRakib wrote: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment:
9ritro.jpg

Total Boxes = 6*2 = 12
Boxes labeled v or w = 4
Remaining boxes labeled x or y = 8

Ratio = 8:4 = 2:1
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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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AbdurRakib wrote: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment:
9ritro.jpg

Since there are 5 Xs, 3 Ys, 2 Vs, and 2 Ws, the ratio of the number of the squares labeled x or y to the number of the squares labeled v or w is 8 : 4 = 2 : 1.

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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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1
Solution:

Step 1: Identify the total number of squares labeled x, y, v, & w separately as follows:
The number of squares labeled x = 5
The number of squares labeled y = 3
The number of squares labeled v = 2
The number of squares labled w = 2

Step 2: The total number of squares altogether equals 12. Crosscheck that the sum of the total squares labeled x, y, v, & w in Step 1 equals 12. If that is not so, find out where you made a mistake and correct your error.

Step 3: The total number of squares labeled x or y = 5 + 3 = 8. Again, crosscheck that you’re right here by counting all the squares with x and y labels together. Also, the total number of squares labeled v or w = 2 + 2 = 4. Count the total number of squares with v and w labels to be sure you’re right.

Step 4: To obtain the ratio of the number of the squares labeled x or y to the number of squares labeled v or w, simply divide the number of squares labeled x or y by the number of squares labeled v or w as follows: 8/4 = 8: 4 = 2:1.

Therefore, the expected ratio is
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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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X's = 5
Y's= 4
W's = 2
V's = 2

Ratio of x or y/Ratio of w or v = 8/4 = 2/1

ie; 2:1

Hence E
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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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I found this easiest to calculate by writing x|y and v|w on my notepad, then adding a tally mark to the appropriate bucket as I encountered each letter.

x | y = 8
v | w = 4

8:4 = 2:1 (reduced)
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GMAT 1: 700 Q49 V37 Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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roundh0use wrote:
I found this easiest to calculate by writing x|y and v|w on my notepad, then adding a tally mark to the appropriate bucket as I encountered each letter.

x | y = 8
v | w = 4

8:4 = 2:1 (reduced)

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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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labeled X = 5 Boxes, labeled Y= 3 Boxes;
labeled V = 2 boxes, labeled W = 2 Boxes;

Xor Y = 5+3 = 8
Vor W =2+2 = 4
Ratio = 8:4 = 2:1.

Ans E.
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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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AbdurRakib wrote: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

A. 1:2
B. 2:3
C. 4:3
D. 3:2
E. 2:1

Attachment:
9ritro.jpg

X=5
Y=3
x or y=5+3=8

Thus, v+w=4
So, the ratio =8:4=2:1

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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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Why x or y = sum?
It’s not x and y
Intern  B
Joined: 27 Apr 2017
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Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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Can one of you please tell us why "or" here means sum? Why did the question not use "and"? "x or y" versus "x and y"
I know in statistics, "or" is combination and "and" is multiplication.
Thank you.
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Joined: 16 Oct 2010
Posts: 9983
Location: Pune, India
Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio  [#permalink]

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YazedMA wrote:

Can one of you please tell us why "or" here means sum? Why did the question not use "and"? "x or y" versus "x and y"
I know in statistics, "or" is combination and "and" is multiplication.
Thank you.

There are no boxes marked 'x and y'. Either a box is marked x or it is marked y. We need to consider both.

When I say, either A OR B will come with me, how many options do I have to take someone with me? I have 2 options.
When we say we need number of boxes marked x OR y, we have 5 + 4 = 9 options.
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Veritas Prep GMAT Instructor Re: Each of the 12 squares shown is labeled x,y,v,or w. What is the ratio   [#permalink] 07 Dec 2019, 23:29
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