1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the statements $p, q$ and $r$ are true, false and true statements respectively, then the truth value of the statement pattern $[\sim \mathrm{q} \wedge(\mathrm{p} \vee \sim \mathrm{q}) \wedge \sim \mathrm{r}] \vee \mathrm{p}$ and the truth value of its dual statement respectively are

A
$\mathrm{T}, \mathrm{T}$
B
$\mathrm{F}, \mathrm{T}$
C
$T, F$
D
$\mathrm{F}, \mathrm{F}$
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the lines $\frac{1-x}{2}=\frac{7 y+4}{2 \lambda}=\frac{2 z-5}{2}$ and $\frac{7-7 x}{3 \lambda}=\frac{y-1}{7}=\frac{6-\mathrm{z}}{5}$ are at right angle, then the value of $\lambda$ is

A
$\frac{4}{7}$
B
$\frac{7}{4}$
C
$\frac{20}{7}$
D
$\frac{5}{4}$
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The negation of the statement "The triangle is an equilateral or isosceles triangle and the triangle is not isosceles and it is right angled" is

A

The triangle is not an equilateral or not an isosceles triangle or it is not an isosceles or it is not right angled

B

The triangle is not an equilateral triangle or not isosceles triangle and it is isosceles or it is not right angled

C

If the triangle is an equilateral triangle or an isosceles triangle then it is an isosceles triangle or not right angled

D

If the triangle is an equilateral triangle or an isosceles triangle then it is not isosceles triangle and it is not right angled

4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

$\mathrm{f}(x)=\frac{x}{2}+\frac{2}{x}, x \neq 0$ is strictly decreasing in

A
$(2,3)$
B
$(1,3)$
C
$(-2,2)$
D
$(1,2)$
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