The table shows the number of shares of each of the 5 stocks

BTGmoderatorLU wrote:Source: GMAT Prep

\(\begin{array}{|c|c|} \hline \textrm{Stock} & \textrm{Number of shares} \\ \hline V & 68 \\ \hline W & 112 \\ \hline X & 56 \\ \hline Y & 94 \\ \hline Z & 45 \\ \hline \end{array}\)

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

The OA is D

Currently, the range = 112 – 45 = 67

After selling 20 stock X and buying 24 stock Y, the table looks like

\(\begin{array}{|c|c|} \hline \textrm{Stock} & \textrm{Number of shares} \\ \hline V & 68 \\ \hline W & 112 \\ \hline X & 36 \\ \hline Y & 118 \\ \hline Z & 45 \\ \hline \end{array}\)

Since the maximum number of stocks now is for Stock Y and the minimum number of stocks are for Stock X, the range for the number fo stocks = 118 – 36 = 82

The increase in the range of the numbers of shares of the 5 stocks = 82 – 67 = 15

The correct answer: D

Hope this helps!

-Jay
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BTGmoderatorLU wrote:Source: GMAT Prep

\(\begin{array}{|c|c|} \hline \textrm{Stock} & \textrm{Number of shares} \\ \hline V & 68 \\ \hline W & 112 \\ \hline X & 56 \\ \hline Y & 94 \\ \hline Z & 45 \\ \hline \end{array}\)

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

The OA is D

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 he sold stock X and bought 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.

Answer: D