1
MHT CET 2021 24th September Evening Shift
+2
-0

If $$\mathrm{p}$$ : It is raining.

$$\mathrm{q}$$ : Weather is pleasant

then simplified form of the statement "It is not true, if it is raining then weather is not pleasant" is

A
It is not raining or weather is pleasant.
B
It is raining or weather is not pleasant.
C
It is raining or weather is not pleasant.
D
It is raining and the weather is pleasant.
2
MHT CET 2021 24th September Morning Shift
+2
-0

The negation of $$p \wedge(q \rightarrow r)$$ is

A
$$\sim p \wedge(\sim q \rightarrow \sim r)$$
B
$$\sim \mathrm{p} \vee(\mathrm{q} \wedge \sim \mathrm{r})$$
C
$$\sim \mathrm{p} \vee(\sim \mathrm{q} \rightarrow \sim \mathrm{r})$$
D
$$\mathrm{p} \vee(\sim \mathrm{p} \vee \mathrm{r})$$
3
MHT CET 2021 24th September Morning Shift
+2
-0

If $$\mathrm{p}$$ : It is raining and $$\mathrm{q}$$ : It is pleasant, then the symbolic form of "It is neither raining nor pleasant" is

A
$$\sim \mathrm{p} \wedge \mathrm{q}$$
B
$$\sim \mathrm{p} \vee \mathrm{q}$$
C
$$(\sim p) \wedge(\sim q)$$
D
$$(\sim p) \vee(\sim q)$$
4
MHT CET 2021 23rd September Evening Shift
+2
-0

"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

(Where $$\mathrm{p}$$ : Two triangles are congruent, $$\mathrm{q}$$ : Their areas are equal)

A
If two triangles are not congruent. then their areas are equal.
B
If two triangles are not congruent, then their areas are not equal.
C
If areas of two triangles are equal, then they are congruent.
D
If areas of two triangles are not equal, then they arc congruent.
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