1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The point of intersection of the diagonals of the rectangle whose sides are contained in the lines $x=8, x=10, y=11$ and $y=12$ is
A
$\left(\frac{9}{2}, 23\right)$
B
$\left(9, \frac{23}{2}\right)$
C
$\left(7, \frac{21}{2}\right)$
D
$\left(\frac{7}{2}, 21\right)$
2
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is
A
$\frac{5}{17}$
B
$\frac{4}{17}$
C
$\frac{5}{16}$
D
$\frac{5}{18}$
3
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\lim _\limits{x \rightarrow 3} \frac{(84-x)^{\frac{1}{4}}-3}{x-3}$ is
A
$\frac{-1}{108}$
B
$\frac{-1}{84}$
C
$\frac{-1}{27}$
D
$\frac{-1}{4}$
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The statement pattern $[(p \rightarrow q) \wedge \sim q] \rightarrow r$ is a tautology when $r$ is equivalent to
A
$\mathrm{p} \wedge \sim \mathrm{q}$
B
$q \vee p$
C
$p \wedge q$
D
$\sim q$

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