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
37
MCQ (Single Correct Answer)
If $X=\left\{8^n-7 n-1 \mid n \in N\right\}$ and $y=\{49 n-49 \mid n \in N\}$. Then,
A
$X \subset Y$
B
$Y \subset X$
C
$X=Y$
D
$X \cap Y=\phi$
38
MCQ (Single Correct Answer)
A survey shows that $63 \%$ of the people watch a news channel whereas $76 \%$ watch another channel. If $x \%$ of the people watch both channel, then
A
$x=35$
B
$x=63$
C
$39 \leq x \leq 63$
D
$x=39$