The table above shows the number of students in three clubs at McAuliffe School...

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The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, ten students are in both chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. How many different students are in the three clubs?

A. 68
B. 69
C. 74
D. 79
E. 84

The OA is C
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BTGmoderatorLU wrote:
Thu Mar 26, 2020 1:40 am
Source: GMAT Paper Tests

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The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, ten students are in both chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. How many different students are in the three clubs?

A. 68
B. 69
C. 74
D. 79
E. 84

The OA is C
We can create the equation:

Total = #chess + #drama + #math - #chess and drama - #chess and math - #drama and math + #all three

Total = 40 + 30 + 25 - 10 - 5 - 6 + 0

Total = 74

Answer: C

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