In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of the seniors are t : Crackverbal Support

In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of th Print

Modified on: Tue, 12 Oct, 2021 at 4:05 PM

Concept: The question tests on the fundamentals of Set theory

Solution:
A NEW OG 2021 QUESTION

Its a question testing on your application skills in Overlapping sets(Concept-Set Theory).

Seniors taking Calculus (C)= 80% = 80 students

Seniors taking BOTH Calculus and Physics( C AND P) = 60% of 80 =48 students

=>Thus, seniors taking ONLY Calculus = 80 -48 =32

Seniors taking neither calculus nor physics= 10% = 10 students

We know Total = Only C + (C & P) + Only P +Neither

=> 100 = 32 + 48+ Only P + 10

=> 100 = 32+ 48 + Only P + 10
=> Only P = 100-90 = 10

The total number of seniors taking Physics
= Only P + (C & P)
=10 + 48 =58 (OPTION D)

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In a certain high school, 80 percent of the seniors are taking calculus, and 60 percent of the seniors who are taking calculus are also taking physics. If 10 percent of the seniors are taking neither calculus nor physics, what percent of th Print

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