SATHEE: Sets-Relations-And-Functions Question 122

Sets-Relations-And-Functions Question 122

Question: If X and Y are two sets such that $ (X\cup Y) $ has 60 elements, X has 38 elements and Y has 42 elements, how many elements does $ (X\cap Y) $ have?

Options:

A) 11

B) 20

C) 13

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b]Since $ (X\cup Y) $ has 60 elements, X has 38 elements and Y has 42 elements. We know that $ (X\cup Y)=X+Y-X\cap Y $ Or $ 60=38+42-(X\cap Y) $ or $ (X\cap Y)=80-60=20 $

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Sets-Relations-And-Functions Question 122

Question: If X and Y are two sets such that $ (X\cup Y) $ has 60 elements, X has 38 elements and Y has 42 elements, how many elements does $ (X\cap Y) $ have?

Options:

Answer:

Solution:

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