1
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

2
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
$\quad \frac{1}{3}(\log 3)^{-2}$
3
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
4
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $x+\log _{15}\left(5+3^x\right)=x \log _{15} 5+\log _{15} 24, \quad$ then $x=$ _________
A
1
B
5
C
2
D
8
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