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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 \subset Q 2. R \subset P 3. P \subset S 4. S \subset 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 \equiv set of square, Q \equiv set of parallelogram, R \equiv set of quadrilaterals and S \equiv set of rectangles. Since all squares are parallelogram \Rightarrow P \subset Q similarly. Since, all squares are rectangles P \subset S and are quadrilaterals \Rightarrow S \subset R \Rightarrow 1, 3 and 4 are correct