1
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $p^3=q^4=r^6=t^7=s^2$, then $\log _t(p q r s)=\ldots \ldots$

A

$\frac{168}{5}$

B

28

C

$\frac{31}{4}$

D

$\frac{35}{4}$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The money invested in a company is compounded continuously. If $Rs\, 400$ invested today becomes ₹800 in 6 years, then at the end of 30 years, it will become (in ₹)

A

18101.76

B

12800

C

9050.88

D

12804

3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y=\log _3\left(\log _3 x\right)$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=3$ is $\ldots \ldots$

A
$\frac{1}{3}(\log 3)^{-3}$
B
$\frac{1}{3}(\log 3)$
C
$\frac{1}{3} \frac{1}{(\log 3)^{-3}}$
D
$\quad \frac{1}{3}(\log 3)^{-2}$
4
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $\sqrt{\log _3 x^{16}}+9 \log _{27} \sqrt[3]{\frac{3}{x}}=5$, then $x=\ldots$.
A
81
B
$\frac{1}{405}$
C
27
D
405
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