In a group of 500 people, 350 are engineers and 250 are MBAs. How many are both Engineers and MBAs? Options: A . &nbsp100 B . &nbsp75 C . &nbsp50 D . &nbsp150 E . &nbsp25

Answer: Option A : A As, we know {A ∪ B} = A + B - (A ∩ B) A ∪ B = 500 , A = 250 and B = 350 500 = 250 + 350 - (A ∩ B) (A ∩ B) = 100 100 are both Engineers and MBAs. Hence option (a)

In a group of 500 people, 350 are engineers and 250 are MBAs. How many are

Question

In a group of 500 people, 350 are engineers and 250 are MBAs.
How many are both Engineers and MBAs?

Answer: Option A
:
A
As, we know {A

\cup

B} = A + B - (A

\cap

B)
A

\cup

B = 500 , A = 250 and B = 350
500 = 250 + 350- (A

\cap

B)
(A

\cap

B) = 100
100 are both Engineers and MBAs.
Hence option (a)

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