Mathematical Logic Mocktest For MHT-CET 2023

Mathematical Logic Mocktest For MHT-CET 2023 Domocktest Digital platform created a Online test Series for MHT-CET examination. This is state level exam conducted by Maharashtra Test cell for Students to take admission in different college’s all over Maharashtra for qualifying degrees like engineering . In this test we have selected some common questions came in the past few years of MHT-CET examination. Time is the most precious thing in any exam so we give you a timer to complete the test and check your skills.

Mathematical logic includes the following topics for Mhtcet 2023.

Before starting the quiz please study and prepare all the following topics of mathematical logic to score good.

Statements

Logical Connectives

Truth tables for Compound Statements

Relation between Compound Statements and Sets in Set theory

Statement pattern

Converse, Inverse, Contrapositive of Statement

Logical Equivalence

Algebra of Statements

Types of Statements

Quantifiers and Quantified Statements

Principles of Duality

Negation of a Statement

Application of Logic to Switching Circuits

Mathematical Logic Mocktest For MHT-CET 2023

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You have to complete the quiz before 25 minutes.

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Created on November 12, 2022 By

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Mathematical logic quiz mocktest MHT-CET 2023

Mathematical logic important questions for MHT-CET. This questions are really helpful to you to score good marks in examination.

Best Of Luck

1 / 25

which of the following is a statement in logic

What a wonderful day!

Shut up!

What are you doing?

Bombay is the capital of India.

2 / 25

p: Sunday is a holiday, q: Ram does not study on holiday. The symbolic form of the statement

'Sunday is a holiday and Ram studies on holiday' is,

p∧q

p∧~q

~p∧~q

~p∧q

3 / 25

Assuming the first part of each statement as p, second as q and the third as r, then the statement ' If A, B, C are three distinct points, then either they are collinear or they form a triangle ' in symbolic form is

p↔ (q∨r)

(p∧q)→r

p→(q∨r)

p→(q∧r)

4 / 25

If p and q are true statements in logic, which of the following statement is true

(p∨q)∧~q

(p∨q) →~q

(p∧~q) →q

(~p∧q)∧q

5 / 25

If the truth values of p, p↔r, p↔q are F,T,F respectively, then respective truth values of q and r are

F,T

T,T

F,F

T,F

6 / 25

The Boolean Expression (p ∧ ~q) ∨ q ∨ (~p ∧ q) is equivalent to

p∧q

p∨q

p∨~q

~p∧q

7 / 25

If c denotes the contradiction then dual of the compound statement ~p ∧ (q ∨ c) is

~p∨(q∧t)

~p∧(q∨t)

p∨(~q∨t)

~p∨(q∧c)

8 / 25

The Negation of the statement given by "He is rich and happy" is

He is not rich and happy

He is rich but not happy

He is not rich but happy

Either he is not rich or he is not happy

9 / 25

Which of the following quantified statement is true

The square of every real number is positive

There exists a real number whose square is negative

There exists a real number whose square is not positive

Every real number is rational

10 / 25

If (p ⋀~q)→(~p ⋁ r) is a false statement, then respective truth values of p, q and r are

T, F, F

F, T, T

T, T, T

F, F, F

11 / 25

The negation of the statement "some equations have real roots" is

All equations do not have real roots

All equations have real roots

Some equations do not have real roots

Some equations have rational roots

12 / 25

The statement ~(p⇿~q) is

a tautology

a fallacy

equivalent to p⇿q

equivalent to ~p⇿q

13 / 25

p: A man is happy

q: The man is rich

The symbolic representation of "If a man is not rich then he is not happy' is

~p→~q

~q→~p

p→q

p→~q

14 / 25

The converse of the contrapositive of p→q is

~p→q

p→~q

~p→~q

~q→p

15 / 25

The statement pattern (~p ⋀ q) is logically equivalent to (o

(p⋁q)⋁~p

(p⋁q)⋀~p

(p⋀q)→p

(p⋁q)→p

16 / 25

Which of the following is not true for any two statement p and q

~[p⋁(~q)]≡~p⋀q

(p⋁q)⋁(~q) is a tautology

~(p⋀~p) is a tautology

~(p⋁q)≡~p⋁~q

17 / 25

The statement pattern p ⋀ (~p ⋀ q) is

a tautology

a contradiction

equivalent to p⋀q

equivalent to p⋁q

18 / 25

Which of the following statement pattern is a tautology

p⋁(q→p)

~q→~p

(q→p)⋁(~p⇿q)

p⋀~p

19 / 25

The Boolean expression ~(p ⋁ q) ⋁ (~p ⋀ q) is equivalent to

20 / 25

The symbolic form of logic for the above circuit is

(p⋁q)⋀(~p⋀r⋁~q)⋁~r

(p⋀q)⋀(~p⋁r⋀~q)⋁~r

(p⋀q)⋁[~p⋀(r⋁~q)]⋁~r

(p⋁q)⋀[~p⋁(r⋀~q)]⋁~r

21 / 25

Let p: A triangle is equilateral, q: A triangle is equiangular, then inverse of q→p is

If a triangle is not equilateral then it is not equiangular

If a triangle is not equiangular then it is not equilateral

If a triangle is equiangular then it is not equilateral

If a triangle is equiangular then it is equilateral

22 / 25

The symbolic form of above circuit is

(p⋁q)⋀(p⋁r)

(p⋀q)⋁(p⋁r)

(p⋀q)⋀(p⋀r)

(p⋀q)⋀r

23 / 25

Symbolic form of the given switching circuit is equivalent to

p⋁~q

p⋀~q

p⇿q

~(p⇿q)

24 / 25

The negation of (p⋁~q) ⋀ q is

(~p⋁q)⋀~q

(p⋀~q)⋁q

(~p⋀q)⋁~q

(p⋀~q)⋁~q

25 / 25

The following statement is

(p→q)→[(~p→q)→q]

A fallacy

A tautology

Equivalent to ~p→q

Equivalent to p→~q

Your score is

The average score is 39%

If you don’t have resources for preparation of NEET/MHT-CET. You can download the 12th textbooks and previous years exam papers from our another website: Maharashtra syllabus.

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Mathematical logic includes the following topics for Mhtcet 2023.

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