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32
MCQ (Single Correct Answer)

The set $\left(A \cap B^{\prime}\right)^{\prime} \cup(B \cap C)$ is equal to

A
$A^{\prime} \cup B \cup C$
B
$A^{\prime} \cup B$
C
$A^{\prime} \cup C^{\prime}$
D
$A^{\prime} \cap B$
33
MCQ (Single Correct Answer)

Let $F_1$ be the set of parallelograms, $F_2$ the set of rectangles, $F_3$ the set of rhombuses, $F_4$ the set of squares and $F_5$ the set of trapeziums in a plane. Then, $F_1$ may be equal to

A
$F_2 \cap F_3$
B
$F_3 \cap F_4$
C
$F_2 \cup F_5$
D
$F_2 \cup F_3 \cup F_4 \cup F_1$
34
MCQ (Single Correct Answer)

Let $S=$ set of points inside the square, $T=$ set of points inside the triangle and $C=$ set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then,

A
$S \cap T \cap C=\phi$
B
$S \cup T \cup C=C$
C
$S \cup T \cup C=S$
D
$S \cup T=S \cap C$
35
MCQ (Single Correct Answer)

If $R$ be the set of points inside a rectangle of sides $a$ and $b(a, b>1)$ with two sides along the positive direction of $X$-axis and $Y$-axis. Then,

A
$R=\{(x, y): 0 \leq x \leq a, 0 \leq y \leq b\}$
B
$R=\{(x, y): 0 \leq x< a, 0 \leq y \leq b\}$
C
$R=\{(x, y): 0 \leq x \leq a, 0< y< b\}$
D
$R=\{(x, y): 0< x< a, 0< y< b\}$
36
MCQ (Single Correct Answer)

In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then, the number of persons who read neither, is

A
210
B
290
C
180
D
260