Tag: business maths

Questions Related to business maths

Disjunction of two statements p and q is denoted by

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. $p \leftrightarrow q$

  2. $p \rightarrow q$

  3. $p \leftarrow q$

  4. $p \vee q$

Show answer
Correct Option: D

An implication or conditional "if p then q "is denoted by

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. $p \vee q$

  2. $p \rightarrow q$

  3. $p \leftarrow q$

  4. None of these

Show answer
Correct Option: B

The truth values of p, q and r for which $(pq)(∼r)$ has truth value F are respectively

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. F, T, F

  2. F, F, F

  3. T, T, T

  4. T, F, F

Show answer
Correct Option: C

 The negation of the compound proposition $p \vee (p \vee q)$ is

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. $(p\wedge ∼q)\wedge ∼p$

  2. $(p\wedge ∼q)\vee  ∼p$

  3. $(p\wedge ∼q)\vee ∼p$

  4. none of these

Show answer
Correct Option: A

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. If I do not have a Siberian Husky, then I do not have a dog.

  2. If I have a dog, then I have a Siberian Husky.

  3. If I do not have a dog, then I do not have a Siberian Husky.

  4. If I do not have a Siberian Husky, then I have a dog.

Show answer
Correct Option: B

$[(p)\wedge q]$ is logically equivalent to

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. $(p\vee q)$

  2. $[p\wedge(q)]$

  3. $p\wedge(q)$

  4. $p\vee(q)$

Show answer
Correct Option: D

$∼(p⇒q)⟺∼p\vee ∼q  \, is$

business maths mathematical reasoning implications principle of mathematical induction proofs in mathematics

  1. a tautology

  2. a contradiction

  3. neither a tautology nor a contradiction

  4. cannot come to any conclusion

Show answer
Correct Option: C

Consider the following statements 
$p$:you want to success
$q$:you will find way,
then the negation of $\sim (p\vee q)$ is

business maths proofs in mathematics implications principle of mathematical induction different forms of theoretical statements

  1. you want of success and you find a way

  2. you want of success and you do not find a way

  3. if you do not want to succeed then you will find a way

  4. if you want of success then you cannot find a way

Show answer
Correct Option: A

Which of the following statements is a tautology

business maths proofs in mathematics implications principle of mathematical induction different forms of theoretical statements

  1. $\left( { \sim p \vee q} \right) - \left( {p \vee \sim q} \right)$

  2. $\left( { \sim p \vee \sim q} \right) \to p \vee q$

  3. $\left( {p \vee \sim q} \right) \wedge \left( {p \vee q} \right)$

  4. $\left( { \sim p \vee \sim q} \right) \vee \left( {p \vee q} \right)$

Show answer
Correct Option: C

Which of the following is a logical statement?

business maths proofs in mathematics implications principle of mathematical induction different forms of theoretical statements

  1. Open the door

  2. What an intelligent student!

  3. Are you going to Delhi

  4. All prime numbers are odd numbers

Show answer
Correct Option: D
Explanation:

The above $3$ statements are basic statements.

But the $4$ statement is a logical statement.
All prime numbers are odd numbers.