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amlan009
At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?

A. 37
B. 43
C. 45
D. 60

This is an overlapping sets question. We can use the following formula to determine how many students took exactly two classes:

Total students = # Math + # Chemistry + # English - # Exactly two classes - 2(# All three classes) + # None

150 = 53 + 88 + 58 - T - 2(6) + 0

150 = 199 - T - 12

150 = 187 - T

T = 37

Answer: A
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amlan009
At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?

A. 37
B. 43
C. 45
D. 60


150=199-Exactly 2 - 2 x Common in 3

150= 199-E2-12

E2= 187-150

E2=37

ANS A
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amlan009
At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?

A. 37
B. 43
C. 45
D. 60


Formula : Total = G1 + G2 + G3 - Exactly 2 - 2(All) + Neither

Here Neither = 0

So, 150 = 53 + 88 + 58 - E2 -2(6) + 0

Solving this we get Exactly 2 = 37

(A)
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amlan009
At a certain school, each of the 150 students takes between 1 and 3 classes. The 3 classes available are Math, Chemistry and English. 53 students study math, 88 study chemistry and 58 study English. If 6 students take all 3 classes, how many take exactly 2 classes?

A. 37
B. 43
C. 45
D. 60


For three overlapping sets formulas, check: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2015/1 ... ping-sets/
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