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Range Problem

Expert replies
by NeilWatson » Tue Apr 08, 2014 6:45 pm
Stock # 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 number of shares of the 5 stocks owned by Mr. Sami?
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Source: — Problem Solving |

by [email protected] » Tue Apr 08, 2014 9:46 pm
Hi NeilWatson,

"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: [spoiler]82 - 67 = 15[/spoiler]

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by Anaira Mitch » Mon Dec 12, 2016 4:28 pm
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
Answer is D
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