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08 Feb 2016, 14:49
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In a group of 18 professional drivers, some have a chauffeur’s license, some have a taxi license, and some have both. How many members of the group have both a chauffeur’s license and a taxi license?
(1) Twice as many members of the goup have a taxi license as have a chauffeur’s
license.
(2) Eight members of the group have a chauffeur’s license.
(1) Twice as many members of the goup have a taxi license as have a chauffeur’s
license.
(2) Eight members of the group have a chauffeur’s license.
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08 Feb 2016, 15:36
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This question is solved most easily with a matrix (see attached picture). We set up our different sets, totals, and the green box is the one we want to find.
Statement 1 (Chart 1): Twice as many members of the goup have a taxi license as have a chauffeur’s
license.
If you look at the chart, the only restrictions we know is that the group that has neither must be 0 (inferred from prompt). X and 2X could be any integer from 1 through 9. Insufficient.
Statement 2 (Chart 2): Eight members of the group have a chauffeur’s license.
Again, from the matrix there are several possibilities that would satisfy this. Insufficient
Combined: (Chart 3) When both of these restrictions are applied, we see that the number of drivers that can have both taxi and chauffeur licenses is 6. Sufficient.
This question is solved most easily with a matrix (see attached picture). We set up our different sets, totals, and the green box is the one we want to find.
Statement 1 (Chart 1): Twice as many members of the goup have a taxi license as have a chauffeur’s
license.
If you look at the chart, the only restrictions we know is that the group that has neither must be 0 (inferred from prompt). X and 2X could be any integer from 1 through 9. Insufficient.
Statement 2 (Chart 2): Eight members of the group have a chauffeur’s license.
Again, from the matrix there are several possibilities that would satisfy this. Insufficient
Combined: (Chart 3) When both of these restrictions are applied, we see that the number of drivers that can have both taxi and chauffeur licenses is 6. Sufficient.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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