1
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$p:$ If 7 is an odd number then 7 is divisible by 2 .

q : If 7 is prime number then 7 is an odd number. If $V_1$ and $V_2$ are respective truth values of contrapositive of p and q then $\left(\mathrm{V}_1, \mathrm{~V}_2\right) \equiv$

A
$(\mathrm{T}, \mathrm{T})$
B
$(\mathrm{T}, \mathrm{F})$
C
$(\mathrm{F}, \mathrm{T})$
D
$(F, F)$
2
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \mathop {\lim }\limits_{x \to 1}\left(\log _3 3 x\right)^{\log _x 8}=\ldots $$

A
$\mathrm{e}^{\log _3 8}$
B
$\quad \log _8 3$
C
$e^{\log _8 3}$
D
$\log _3 8$
3
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $\mathrm{f}(x)=\sin ^4 x+\cos ^4 x$ increases if

A
$0 < x < \frac{\pi}{8}$
B
$\frac{\pi}{4} < x < \frac{\pi}{2}$
C
$\frac{3 \pi}{8} < x < \frac{5 \pi}{8}$
D
$\frac{5 \pi}{8} < x < \frac{3 \pi}{4}$
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The values of $b$ and $c$ for which the identity $\mathrm{f}(x+1)-\mathrm{f}(x)=8 x+3$ is satisfied, where $\mathrm{f}(x)=\mathrm{b} x^2+\mathrm{c} x+\mathrm{d}$, are

A
$\mathrm{b}=2, \mathrm{c}=1$
B
$\mathrm{b}=4, \mathrm{c}=-1$
C
$\mathrm{b}=1, \mathrm{c}=2$
D
$\mathrm{b}=3, \mathrm{c}=-1$
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