Overlapping Sets

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 10

A school has 54 students studying Physics, Chemistry and Biology. 33 study Physics, 25 Chemistry and 26 Biology. 10 study Physics and Chemistry, 9 study Biology and Chemistry while 8 study both Physics and Biology. Equal numbers study all three subjects as those who learn none of the three. how many students are taking all the three subjects?

Previous Question

Next Question

Back to Topics

Show/Hide Explanation

Correct Answer: B

(33 - 10 - 8 - x) + 10 + (25 - 10 - 9 - x) + 9 + (26 - 8 - 9 - x) + 8 + x + x = 54

(15 - x) + 10 + (6 - x) + 9 + (9 - x) + 8 + 2x = 54

x = 3

Overlapping Sets

Question: 10

Show/Hide Explanation

Correct Answer: B

All Topics