Tag: mathematical reasoning

Questions Related to mathematical reasoning

Boolean algebra theorem, gives   $x\cdot (x+y)$   equal to

maths mathematical reasoning special words/phrases duality mathematical logic

  1. $x'$

  2. $1$

  3. $x$

  4. $0$

Show answer
Correct Option: C
Explanation:

    $x\cdot \left( x+y \right) $

$=x\cdot x+xy$
$=x$

To perform product of maxterms Boolean function must be brought into

maths mathematical reasoning special words/phrases duality mathematical logic

  1. and terms

  2. or terms

  3. not terms

  4. nand terms

Show answer
Correct Option: B
Explanation:

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

Minterms are also called

maths mathematical reasoning special words/phrases duality mathematical logic

  1. standard sum

  2. standard product

  3. standard division

  4. standard subtraction

Show answer
Correct Option: B
Explanation:

A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.

The conditional $( p \wedge q ) \Rightarrow p$ is 

maths mathematical reasoning special words/phrases duality mathematical logic

  1. neither tautology nor contradiction

  2. a tautology

  3. a contradiction

  4. both tautology and contradiction

Show answer
Correct Option: B

Boolean algebra is also called

maths mathematical reasoning special words/phrases duality mathematical logic

  1. switching algebra

  2. arithmetic algebra

  3. linear algebra

  4. algebra

Show answer
Correct Option: A
Explanation:

Boolean algebra is also called switching algebra..


It was invented by mathematician George Boole in 1849.Boolean algebra or 

switching algebra ia a system of mathematical logic to perform different 

mathematical operation in binary system.

$e*x=x*e=x$ is the

maths mathematical reasoning special words/phrases duality mathematical logic

  1. commutative property

  2. inverse property

  3. associative property

  4. identity element

Show answer
Correct Option: D
Explanation:

Given, $e\times x=x\times e=x$

This is possible when $e=1$
This is an identity element.

A Boolean function may be transformed into

maths mathematical reasoning special words/phrases duality mathematical logic

  1. logical diagram

  2. logical graph

  3. map

  4. matrix

Show answer
Correct Option: A
Explanation:

Boolean function:

        It can be represented in the form of diagram with logic gates.

Boolean algebra theorem, gives   $x\cdot (x+y)$   equal to

maths mathematical reasoning special words/phrases duality mathematical logic

  1. $x'$

  2. $1$

  3. $x$

  4. $0$

Show answer
Correct Option: C
Explanation:

    $x\cdot \left( x+y \right) $

$=x\cdot x+xy$
$=x$

To perform product of maxterms Boolean function must be brought into

maths mathematical reasoning special words/phrases duality mathematical logic

  1. and terms

  2. or terms

  3. not terms

  4. nand terms

Show answer
Correct Option: B
Explanation:

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

Minterms are also called

maths mathematical reasoning special words/phrases duality mathematical logic

  1. standard sum

  2. standard product

  3. standard division

  4. standard subtraction

Show answer
Correct Option: B
Explanation:

A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.