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16 Sep 2014, 00:28
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If 53 students are enrolled in both the cooking class and the painting class, how many of the cooking class students are not enrolled in the painting class?
(1) 72 students are taking the painting class.
(2) 59 students are taking the cooking class.
(1) 72 students are taking the painting class.
(2) 59 students are taking the cooking class.
16 Sep 2014, 00:28
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Official Solution:
If 53 students are enrolled in both the cooking class and the painting class, how many of the cooking class students are not enrolled in the painting class?
Note that the question essentially asks to find the number of students enrolled only in the cooking class.
(1) 72 students are taking the painting class.
Since we know that 53 students are enrolled in both classes, the number of students in the painting class who are not enrolled in the cooking class is 72 - 53 = 19. Hence, there are 19 students enrolled only in the painting class. However, we need the number of students enrolled only in the cooking class. Not sufficient.
(2) 59 students are taking the cooking class.
Since we know that 53 students are enrolled in both classes, the number of students in the cooking class who are not enrolled in the painting class, so the number of students enrolled only in the cooking class, is 59 - 53 = 6. Sufficient.
Answer: B
If 53 students are enrolled in both the cooking class and the painting class, how many of the cooking class students are not enrolled in the painting class?
Note that the question essentially asks to find the number of students enrolled only in the cooking class.
(1) 72 students are taking the painting class.
Since we know that 53 students are enrolled in both classes, the number of students in the painting class who are not enrolled in the cooking class is 72 - 53 = 19. Hence, there are 19 students enrolled only in the painting class. However, we need the number of students enrolled only in the cooking class. Not sufficient.
(2) 59 students are taking the cooking class.
Since we know that 53 students are enrolled in both classes, the number of students in the cooking class who are not enrolled in the painting class, so the number of students enrolled only in the cooking class, is 59 - 53 = 6. Sufficient.
Answer: B
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17 Aug 2015, 21:41
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Hello Bunuel,
The question stem is silent about the number of students who did not enroll in any of the course.
From the solution, it can be seen that that value is taken ZERO.
How can we assume this as such ?
Is it a convention that in a set theory question , if the stem is silent about this fact we assume it to be zero ?
Thanks.
The question stem is silent about the number of students who did not enroll in any of the course.
From the solution, it can be seen that that value is taken ZERO.
How can we assume this as such ?
Is it a convention that in a set theory question , if the stem is silent about this fact we assume it to be zero ?
Thanks.
