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# The table shows the number of shares of each of the 5 stocks owned by

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The table shows the number of shares of each of the 5 stocks owned by  [#permalink]

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Updated on: 23 Dec 2017, 12:12
2
19
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:42) correct 26% (01:43) wrong based on 777 sessions

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Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45

The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 24 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?

A. 4
B. 6
C. 9
D. 15
E. 20

Attachment:

The table shows the nu.png [ 406.31 KiB | Viewed 10670 times ]

Originally posted by piyushksharma on 08 Apr 2012, 00:49.
Last edited by Bunuel on 23 Dec 2017, 12:12, edited 5 times in total.
Edited the question
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Re: The table shows the number of shares of each of the 5 stocks owned by  [#permalink]

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08 Apr 2012, 00:57
6
6
piyushksharma wrote:
Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45

The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 24 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?

A. 4
B. 6
C. 9
D. 15
E. 20

Can someone please explain this in detail?
My answer was A, but it is wrong...

Original range = (highest #) - (lowest #) = W - Z = 112 - 45 = 67;

New range = (new highest #) - (new lowest #) = Y - X = 118-36 = 82;

Difference = New range - Original range = 82 - 67 = 15.

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Re: The table shows the number of shares of each of the 5 stocks owned by  [#permalink]

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28 Nov 2015, 15:03
Hi All,

"Range" questions come from the broader category of statistics, which will show up a couple of times on the GMAT. The range of a group of numbers is the difference between the largest number and the smallest number.

Based on the original number of shares, the range would be: 112 - 45 = 67

However, the prompt tells us that two of the values in the table are going to change. After the changes, the values will be:

V 68
W 112
X 36
Y 118
Z 45

Now the range is 118 - 36 = 82

The INCREASE in the range requires us to compare the "new" range to the "old" range: 82 - 67 = 15

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Re: The table shows the number of shares of each of the 5 stocks owned by  [#permalink]

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23 Jul 2016, 06:59
piyushksharma wrote:
Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45

The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 24 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?

A. 4
B. 6
C. 9
D. 15
E. 20

Current range = highest - lowest --->112-45 = 67

After selling 20 shares of X and buying 24 shares of Y , the new share composition will be
V = 68 No change
W= 112 No change
X= 36 (because 56-20=36)
Y =118 (because 94+24 =118)
Z = 45No change

Now new range = highest - lowest ----> 118- 36= 82

Increase = new range -old range = 82-67 = 15

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Re: The table shows the number of shares of each of the 5 stocks owned by  [#permalink]

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12 Dec 2016, 16:28
1
Check out below :-

Range before transaction:
112-45=67
Range after transaction:
(94+24)-(56-20)=118-36=82
The difference is: 82-67=15
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Re: The table shows the number of shares of each of the 5 stocks  [#permalink]

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29 Sep 2017, 21:17
1
Original Range = 112 - 45
new Range = 118 - 36
so increase in range = 15
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Re: The table shows the number of shares of each of the 5 stocks owned by  [#permalink]

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21 Jan 2019, 18:03
piyushksharma wrote:
Stock / Number of shares
V ------------ 68
W ---------- 112
X ------------ 56
Y ------------ 94
Z ------------ 45

The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 24 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?

A. 4
B. 6
C. 9
D. 15
E. 20

Attachment:
The table shows the nu.png

We recall that the formula for range is:

Range = greatest value - least value

Since the greatest number of shares is 112 and the least number of shares is 45, before selling stock X and buying stock Y, the current range is 112 - 45 = 67.

After 20 shares of stock X are sold and 24 shares of stock Y are purchased, the greatest number of shares is 94 + 24 = 118 and the least number of shares is 56 - 20 = 36. The new range would be118 - 36 = 82. Thus, the increase in the range is 82 - 67 = 15 shares.

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Re: Stock = # of shares v = 68 w= 112 x= 56 y= 94 z= 45   [#permalink]

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Re: Stock = # of shares v = 68 w= 112 x= 56 y= 94 z= 45   [#permalink] 09 Oct 2019, 04:27