Mathematical Reasoning PYQs - Last 5 Years

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All Mathematical Reasoning PYQs Last 10 Years Create chapter test

Practice 127 MHT CET Mathematics questions from Mathematical Reasoning. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 5 Years Mathematical Reasoning Questions

Showing 50 of 127 filtered questions.

1Mathematical Reasoning

Number of switches in alternative equivalent simple circuit for the circuit is (are)

2Mathematical Reasoning

Consider the statements given by following
(A) If $4+3=8$, then $5+3=9$
(B) If $6+4=10$, then moon is flat
(C) If both (A) and (B) are true, then $5+6=17$
Then which of the following statement is correct?

3Mathematical Reasoning

If the truth value of the statement pattern $[p \wedge \sim r] \rightarrow \sim r \wedge q$ is False, then which of the following has truth value False?

4Mathematical Reasoning

Which of the following statements has the truth value T ?
A: cube roots of unity are in Geometric progression and their sum is 1
B: $4+7>10$ iff $2+8<10$
C: $\exists x \in \mathbb{N}$ such that $x^2-3 x+2=0$ and $\exists \mathrm{n} \in \mat...

5Mathematical Reasoning

If $p$ : switch $S_1$ is closed, $q$ : switch $S_2$ is closed, $r$ : switch $S_3$ closed, then the symbolic form of the following switching circuit is equivalent to
Switching Circuit:

6Mathematical Reasoning

$p:$ If 7 is an odd number then 7 is divisible by 2 .
q : If 7 is prime number then 7 is an odd number. If $V_1$ and $V_2$ are respective truth values of contrapositive of p and q then $\left(\mathrm{V}_1, \mathrm{~V}_2\right) \equiv$

7Mathematical Reasoning

If the statement pattern $(p \wedge q) \rightarrow(r \vee \sim s)$ is false, then the truth values of $p, q, r$ and $s$ are respectively

8Mathematical Reasoning

The logical statement
\([\sim(\sim p \vee q) \vee(p \wedge r) \wedge(\sim q \wedge r)]\)
is equivalent to

9Mathematical Reasoning

The correct simplified circuit diagram for the logical statement $[\{\mathrm{q} \wedge(\sim \mathrm{q} \vee \mathrm{r})\} \wedge\{\sim \mathrm{p} \vee(\mathrm{p} \wedge \sim \mathrm{r})\}] \vee(\mathrm{p} \wedge \mathrm{r})$ Where $p, q, r$...

10Mathematical Reasoning

If $\{(\mathrm{p} \wedge \sim \mathrm{q}) \wedge(\mathrm{p} \wedge \mathrm{r})\} \rightarrow \sim \mathrm{p} \vee \mathrm{q}$ has truth value false then truth values of the statements $p, q, r$ are respectively

11Mathematical Reasoning

The logically equivalent statement of $(\sim \mathrm{p} \wedge \mathrm{q}) \vee(\sim \mathrm{p} \wedge \sim \mathrm{q}) \vee(\mathrm{p} \wedge \sim \mathrm{q})$ is

12Mathematical Reasoning

If a statement $q$ has truth value False and $(\mathrm{p} \wedge \mathrm{q}) \leftrightarrow \mathrm{r}$ has truth value True then which of the following has truth value true?

13Mathematical Reasoning

The equivalent statement of "If three vertices of a triangle are represented by cube roots of unity, then the triangle is an equilateral triangle" is

14Mathematical Reasoning

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

15Mathematical Reasoning

The statement pattern $[(p \rightarrow q) \wedge \sim q] \rightarrow r$ is a tautology when $r$ is equivalent to

16Mathematical Reasoning

Consider the three statements $\mathrm{p}: \forall \mathrm{n} \in \mathbb{N}, 10 \mathrm{n}-3$ is a prime number, when n is not divisible by 3.
$\mathrm{q}: \frac{2}{\sqrt{3}}, \frac{-2}{\sqrt{3}}, \frac{-1}{\sqrt{3}}$ are the direction cos...

17Mathematical Reasoning

Which of the following are pairs of equivalent circuits

18Mathematical Reasoning

The last column in the truth table of the statement pattern $[\mathrm{p} \rightarrow(\mathrm{q} \wedge \sim \mathrm{p})] \vee[(\mathrm{p} \vee \sim \mathrm{q}) \wedge \mathrm{p}]$ is

19Mathematical Reasoning

Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow(\sim q \vee r)$ is $F$. Then the truth values of $p, q, r$ are respectively

20Mathematical Reasoning

Consider the statements given by following :
(A) If $3+3=7$, then $4+3=8$.
(B) If $5+3=8$, then earth is flat.

(C) If both (A) and (B) are true, then $5+6=17$.
Then which of the following statements is correct?

21Mathematical Reasoning

If $\mathrm{p} \rightarrow(\sim \mathrm{p} \vee \sim \mathrm{q})$ is false, then the truth values of p and q are respectively

22Mathematical Reasoning

Negation of the statement ' Horses have wings if and only if crows have tails. ' is

23Mathematical Reasoning

If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ are respectively

24Mathematical Reasoning

The statement pattern
$[p \wedge(q \vee r)] \vee[\sim r \wedge \sim q \wedge p]$ is equivalent to

25Mathematical Reasoning

If the statements $p, q$ and $r$ have the truth values $\mathrm{F}, \mathrm{T}, \mathrm{F}$ respectively, then the truth values of the statement patterns $(p \wedge \sim q) \rightarrow r$ and $(p \vee q) \rightarrow r$ are respectively

26Mathematical Reasoning

The converse of $[p \wedge(\sim q)] \rightarrow r$ is

27Mathematical Reasoning

Consider the following statements
p : the switch $\mathrm{S}_1$ is closed.
q : the switch $\mathrm{S}_2$ is closed.
$r$ : the switch $\mathrm{S}_3$ is closed.
Then the switching circuit represented by the statement $(p \wedge q) \vee(\sim p...

28Mathematical Reasoning

If p and q are statements, then _________ is a contingency.

29Mathematical Reasoning

The new switching circuit for the following circuit by simplifying the given circuit is

30Mathematical Reasoning

\(\sim[(\mathrm{p} \vee \sim \mathrm{q}) \rightarrow(\mathrm{p} \wedge \sim \mathrm{q})] \equiv\)

31Mathematical Reasoning

If statement I : If the work is not finished on time, the contractor is in trouble.
statement II : Either the work is finished on time or the contractor is in trouble.
then

32Mathematical Reasoning

If the statement $p \vee \sim(q \wedge r)$ is false, then the truth values of $p, q$ and $r$ are respectively

33Mathematical Reasoning

Which one of the following is the pair of equivalent circuits?

34Mathematical Reasoning

The negation of contrapositive of the statement $\mathrm{p} \rightarrow(\sim \mathrm{q} \wedge \mathrm{r})$ is

35Mathematical Reasoning

The proposition $(\sim p) \vee(p \wedge \sim q)$ is equivalent to

36Mathematical Reasoning

Let $S$ be a non-empty subset of $\mathbb{R}$. Consider the following statement:
p : There is a rational number $x \in \mathrm{~S}$ such that $x>0$.
Which of the following statements is the negation of the statement p?

37Mathematical Reasoning

The statement $\sim(p \leftrightarrow \sim q)$ is

38Mathematical Reasoning

Truth values of $\mathrm{p} \rightarrow \mathrm{r}$ is F and $\mathrm{p} \leftrightarrow \mathrm{q}$ is F . Then the truth values of $(\sim p \vee q) \rightarrow(p \vee \sim q)$ and $(p \wedge \sim q) \rightarrow(\sim p \wedge q)$ are respe...

39Mathematical Reasoning

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

40Mathematical Reasoning

If $p \rightarrow(q \vee r)$ is false, then the truth values of $\mathrm{p}, \mathrm{q}, \mathrm{r}$ are respectively

41Mathematical Reasoning

If p : The total prime numbers between 2 to 100 are 26.
q : Zero is a complex number.
$r$ : Least common multiple (L.C.M.) of 6 and 7 is 6 .
Then which of the following is correct?

42Mathematical Reasoning

The contrapositive of the inverse of $\mathrm{p} \rightarrow(\mathrm{p} \rightarrow \mathrm{q})$ is

43Mathematical Reasoning

Let $\mathrm{p}, \mathrm{q}$ and r be the statements
$\mathrm{p}: \mathrm{X}$ is an equilateral triangle
$\mathrm{q}: \mathrm{X}$ is isosceles triangle
r: q $\vee \sim p$,
then the equivalent statement of $r$ is

44Mathematical Reasoning

Let p : A man is judge.
$\mathrm{q}: \mathrm{He}$ is honest.
The inverse of $p \rightarrow q$ is

45Mathematical Reasoning

The following statement $(\mathrm{p} \rightarrow \mathrm{q}) \rightarrow((\sim \mathrm{p} \rightarrow \mathrm{q}) \rightarrow \mathrm{q})$ is

46Mathematical Reasoning

Contrapositive of the statement
'If two numbers are not equal, then their squares are not equal', is

47Mathematical Reasoning

The inverse of $p \rightarrow(q \rightarrow r)$ is logically equivalent to

48Mathematical Reasoning

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

49Mathematical Reasoning

If $(p \wedge \sim r) \rightarrow(\sim p \vee q)$ has truth value False, then truth values of $p, q, r$ are respectively.

50Mathematical Reasoning

The converse of "If 3 is a prime number, then 3 is odd." is