1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$ and $b:(p \vee s) \leftrightarrow(q \wedge r)$. If the truth values of $p$ and $q$ are true and that of $r$ and $s$ are false, then the truth values of $a$ and $b$ are respectively......

A
F, F
B
T, T
C
T, F
D
F, T
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

5. "If two triangles are congruent, then their areas are equal" is the given statement then the contrapositive of, the inverse of the given statement is

A
If areas of two triangles are not equal then they are congruent
B
If two triangles are not congruent then their areas are equal
C
If two triangles are not congruent then their areas are not equal
D
If areas of two triangles are equal then they are congruent
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \log x \cdot[\log (e x)]^{-2} d x=\ldots$$

A
$\frac{x}{1+\log x}+c$
B
$x(1-\log x)+c$
C
$x(1+\log x)+c$
D
$\frac{x}{1-\log x}+c$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $y=\log \left[\frac{x+\sqrt{x^2+25}}{\sqrt{x^2+25}-x}\right]$ then $\frac{d y}{d x}=\ldots \ldots$

A
$\frac{1}{\sqrt{x^2+25}}$
B
$\frac{2}{\sqrt{x^2+25}}$
C
$\frac{-1}{\sqrt{x^2+25}}$
D
$\frac{-2}{\sqrt{x^2+25}}$
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