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macjas
Joined: 09 May 2012
Last visit: 30 Jul 2015
Posts: 308
Given Kudos: 100
Affiliations: UWC
Location: Canada
Schools: Rotman '15 (A) Schulich '15 (M)
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE:Engineering (Media/Entertainment)
Products:
Only One
Science: 33 Common to A
Pair of Classes: 7
Science: 33 Common to A
Pair of Classes: 7
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
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Question Stats:
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73%
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Students in the tenth grade at a certain high school must take at least one science course: chemistry, physics, or biology. Each of these classes contains 20 students, and any two classes have the same number of students in common. Five students are taking all three classes simultaneously.
Using the information given, identify a possible number of students in the tenth grade taking only one science class and the corresponding number of students common to any pair of classes. The numbers must be consistent with each other. Make only two selections, one in each column.
Using the information given, identify a possible number of students in the tenth grade taking only one science class and the corresponding number of students common to any pair of classes. The numbers must be consistent with each other. Make only two selections, one in each column.
|
Only One Science |
Common to A Pair of Classes |
Number |
| 2 | ||
| 7 | ||
| 9 | ||
| 24 | ||
| 33 | ||
| 39 |
ShowHide Answer
Official Answer
Only One
Science: 33 Common to A
Pair of Classes: 7
Science: 33 Common to A
Pair of Classes: 7
06 Apr 2024, 10:55
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Nidhibatra
Can someone please clearly explain this question using venn diagram?
Posted from my mobile device
See if this helps. Posted from my mobile device
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General Discussion
26 Aug 2012, 01:20
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Students in the tenth grade at a certain high school must take at least one science course: chemistry, physics, or biology. Each of these classes contains 20 students, and any two classes
have the same number of students in common. Five students are taking all three classes simultaneously.
Using the information given, identify a possible number of students in the tenth grade taking only one science class and the corresponding number of students common to any pair of classes.
The numbers must be consistent with each other. Make only two selections, one in each column.
Only One Science___Common to A Pair of Classes_______Number
_____________ ____________________________________2
_____________ ____________________________________7
_____________ ____________________________________9
_____________ ____________________________________24
_____________ ____________________________________33
_____________ ____________________________________39
Lets consider : Number of student studying only one science = 33.
Each class will have 11 students studying only 1 subject. 5 students study all subject. so total students studying only one and three subjects in
each class = 16.
Now we know that each class has 20 students . 20-16 = 4 will be the students in each class that should study, if selected option is correct, two
subjects. Each class has 4 students that should study two subjects and as it is evenly distributed, out of these 4 , 2 students should study one of the three subjects...
5 students will are common for all class will also be common for any two class. Therefore, 2+5 = 7.
33 , 7 is the correct answer. Check will other option it want satisfy the condition
have the same number of students in common. Five students are taking all three classes simultaneously.
Using the information given, identify a possible number of students in the tenth grade taking only one science class and the corresponding number of students common to any pair of classes.
The numbers must be consistent with each other. Make only two selections, one in each column.
Only One Science___Common to A Pair of Classes_______Number
_____________ ____________________________________2
_____________ ____________________________________7
_____________ ____________________________________9
_____________ ____________________________________24
_____________ ____________________________________33
_____________ ____________________________________39
Lets consider : Number of student studying only one science = 33.
Each class will have 11 students studying only 1 subject. 5 students study all subject. so total students studying only one and three subjects in
each class = 16.
Now we know that each class has 20 students . 20-16 = 4 will be the students in each class that should study, if selected option is correct, two
subjects. Each class has 4 students that should study two subjects and as it is evenly distributed, out of these 4 , 2 students should study one of the three subjects...
5 students will are common for all class will also be common for any two class. Therefore, 2+5 = 7.
33 , 7 is the correct answer. Check will other option it want satisfy the condition
