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

[BTGmoderatorLU]

Source: GMAT Paper Tests

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

[Scott@TargetTestPrep]

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