1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Negation of the statement

"The payment will be made if and only if the work is finished in time." Is

A
The work is finished in time and the payment is not made.
B
The payment is made and the work is not finished in time.
C
The work is finished in time and the payment is not made, or the payment is made and the work is finished in time.
D
Either the work is finished in time and the payment is not made, or the payment is made and the work is not finished in time.
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$\mathrm{p}, \mathrm{q}, \mathrm{r}$$ be three statements, then $$[p \rightarrow(q \rightarrow r)] \leftrightarrow[(p \wedge q) \rightarrow r]$$ is

A
equivalent to $$\mathrm{p} \leftrightarrow \mathrm{q}$$.
B
contingency.
C
tautology.
D
contradiction.
3
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If truth values of statements $$\mathrm{p}, \mathrm{q}$$ are true, and $$\mathrm{r}$$, $$s$$ are false, then the truth values of the following statement patterns are respectively

$$\begin{aligned} & \mathrm{a}: \sim(\mathrm{p} \wedge \sim \mathrm{r}) \vee(\sim \mathrm{q} \vee \mathrm{s}) \\ & \mathrm{b}:(\sim \mathrm{q} \wedge \sim \mathrm{r}) \leftrightarrow(\mathrm{p} \vee \mathrm{s}) \\ & \mathrm{c}:(\sim \mathrm{p} \vee \mathrm{q}) \rightarrow(\mathrm{r} \wedge \sim \mathrm{s}) \end{aligned}$$

A
$$\mathrm{T}, \mathrm{F}, \mathrm{F}$$
B
F, F, F
C
F, T, T
D
$$\mathrm{T}, \mathrm{F}, \mathrm{T}$$
4
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The negation of the statement $$(p \wedge q) \rightarrow(\sim p \vee r)$$ is

A
$$p \vee q \vee \sim r$$
B
$$\mathrm{p} \wedge \mathrm{q} \wedge \sim \mathrm{r}$$
C
$$\sim p \vee q \wedge r$$
D
$$ \sim p \vee \sim q \vee \sim r$$
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