Question

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

Answer: (B)

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