Question
Mathematics Question on Sets
Let P be a set of squares, Q be set of parallelograms, R be a set of quadrilaterals and S be a set of rectangles. Consider the following : 1. P ⊂ Q 2. R ⊂ P 3. P ⊂ S 4. S ⊂ R Which of the above are correct?
A
1, 2 and 3
B
1, 3 and 4
C
1, 2 and 4
D
3 and 4
Answer
1, 3 and 4
Explanation
Solution
As given, P ≡ set of square, Q ≡ set of parallelogram, R ≡ set of quadrilaterals and S ≡ set of rectangles. Since all squares are parallelogram ⇒ P ⊂ Q similarly. Since, all squares are rectangles P ⊂ S and are quadrilaterals ⇒ S ⊂ R ⇒ 1, 3 and 4 are correct