1
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $n(A)=4, n(B)=2$. Then the number of subsets of the set $\mathrm{A} \times \mathrm{B}$ each having at least 3 elements are

A
275
B
510
C
219
D
256
2
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A radio active substance has half-life of $h$ days, then its initial decay rate is given by Note that at $\mathrm{t}=0, \mathrm{M}=\mathrm{m}_{\mathrm{o}}$

A
$\frac{\mathrm{m}_{\mathrm{o}}}{\mathrm{h}}(\log 2)$
B
$\left(\mathrm{m}_{\mathrm{o}} \mathrm{h}\right)(\log 2)$
C
$-\frac{\mathrm{m}_{\mathrm{o}}}{\mathrm{h}}(\log 2)$
D
$\left(-\mathrm{m}_{\mathrm{o}} \mathrm{h}\right)(\log 2)$
3
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $(a+\sqrt{2} b \cos x)(a-\sqrt{2} b \cos y)=a^2-b^2$, where $\mathrm{a}>\mathrm{b}>0$, then $\frac{\mathrm{d} x}{\mathrm{~d} y}$ at $\left(\frac{\pi}{4}, \frac{\pi}{4}\right)$ is

A
$\frac{a-b}{a+b}$
B
$\frac{a+b}{a-b}$
C
$\frac{2 a+b}{2 a-b}$
D
$\frac{a-2 b}{a+2 b}$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Contrapositive of the statement. 'If two numbers are equal, then their squares are equal' is

A
If the squares of two numbers are equal, then the numbers are not equal.
B
If the squares of two numbers are not equal, then the numbers are equal.
C
If the squares of two numbers are not equal, then the numbers are not equal.
D
If the squares of two numbers are equal, then the numbers are equal.
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