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Standard XII

Mathematics

Intersection

72% of studen...

Question

$72 %$ of students in a class took Physics and $44 %$ took Mathematics. If each student took Physics or Mathematics and $40$ took both, the total number of students in the class would be

200

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240

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250

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320

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Solution

The correct option is B $250$
No. of Student took Physics n(N) = $72 %$
No. of Student took Mathematics n(M) = $44 %$
$n (M \cup N) = 100 %$
$n (M \cap N) = 72 + 44 - 100 = 116 - 100 = 16 %$
$\frac{16}{100} x = 40$
$x = 250$

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72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be

The correct option is B 250No. of Student took Physics n(N) = 72%No. of Student took Mathematics n(M) = 44%n(M∪N)=100%n(M∩N)=72+44−100=116−100=16%16100x=40x=250

$72 %$ of students in a class took Physics and $44 %$ took Mathematics. If each student took Physics or Mathematics and $40$ took both, the total number of students in the class would be

The correct option is B $250$
No. of Student took Physics n(N) = $72 %$
No. of Student took Mathematics n(M) = $44 %$
$n (M \cup N) = 100 %$
$n (M \cap N) = 72 + 44 - 100 = 116 - 100 = 16 %$
$\frac{16}{100} x = 40$
$x = 250$