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21 Mar 2016, 07:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (01:36) correct
6%
(01:42)
wrong
based on 364
sessions
History
Date
Time
Result
Not Attempted Yet
Of the 120 passengers on Flight 750, 50% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
A. 44
B. 48
C. 50
D. 52
E. 56
A. 44
B. 48
C. 50
D. 52
E. 56
08 Feb 2020, 08:28
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Bunuel
We can also solve this question by using a technique called the Double Matrix Method.
This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..
Here, we have a population of passengers, and the two characteristics are:
- male or female
- first class or coach class
Of the 120 passengers on Flight 750, 50% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class.
With this information we can set up our diagram as follows:
1/3 of the passengers in first class are male
We already know that there are 12 passengers in first class
1/3 of 12 = 4, so there are 4 male passengers in first class
So we get:
At this point we can fill in the remaining boxes to get:
How many females are there in coach class?
The yellow box above denotes the number of females in coach class
So we can see that there are 52 females in coach class
Answer: D
This question type is VERY COMMON on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch this video:
General Discussion
21 Mar 2016, 08:01
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Number of passengers on flight = 120
Number of female passengers= .5*120 = 60
Number of passengers in first class = (10/100)* 120 = 12
Number of passengers in coach class = (90/100)* 120 = 108
Number of male passengers in first class = 1/3 * 12 = 4
Number of female passengers in first class = 12-4 = 8
Number of female passengers in coach class = 60 - 8 = 52
Answer D
Number of female passengers= .5*120 = 60
Number of passengers in first class = (10/100)* 120 = 12
Number of passengers in coach class = (90/100)* 120 = 108
Number of male passengers in first class = 1/3 * 12 = 4
Number of female passengers in first class = 12-4 = 8
Number of female passengers in coach class = 60 - 8 = 52
Answer D
