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Quantitative Aptitude Practice Algebra Study Material

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Mathematical Induction

One key basis for mathematical thinking is ______________.

a) Deductive reasoning
b) Logical reasoning
c) Inductive reasoning
d) None of these

✔Answer

Correct Answer Is : Deductive reasoning

Solution Is :

Inductive reasoning depends on working with:

a) Different cases
b) Developing a conjecture
c) Both 1 and 2
d) None of these

✔Answer

Correct Answer Is : Both 1 and 2

Solution Is :

By deductive reasoning which is the correct statement from following:

a) Socrates is a man
b) All men are mortal
c) Socrates is mortal
d) All of these

✔Answer

Correct Answer Is : All of these

Solution Is :

True or false: one key basis for mathematical thinking is deductive reasoning.

a) TRUE
b) FALSE
c) MAYBE
d) None of these

✔Answer

Correct Answer Is : TRUE

Solution Is :

What is the meaning of induction?

a) The generalisation from particular cases or facts
b) The determination from particular cases or facts.
c) The introduction from particular cases or facts.
d) All of these

✔Answer

Correct Answer Is : The generalisation from particular cases or facts

Solution Is :

By deductive reasoning which is the correct statement from following:

a) Six is divisible by two
b) Any number divisible by two is an even number
c) Six is an even number
d) All of these

✔Answer

Correct Answer Is : All of these

Solution Is :

Induction reasoning a key aspect of scientific reasoning, where ___________ is the norm.

a) Collecting and analysing data
b) Collecting data
c) Analysing data
d) Collecting or analysing data

✔Answer

Correct Answer Is : Collecting and analysing data

Solution Is :

In algebra, there are certain results or statements that are formulated in terms of n, where n is a ____________.

a) Zero
b) Positive integer
c) Negative integer
d) One

✔Answer

Correct Answer Is : Positive integer

Solution Is :

Which principle is used to prove the statements that are formulated in terms of n?

a) Principle of mathematical induction
b) Principle of mathematical deduction
c) Principle of mathematical formulation
d) Principle of mathematical reasoning

✔Answer

Correct Answer Is : Principle of mathematical induction

Solution Is :

By principle of mathematical induction for all n ∈ N, 1 + 3 + 3∧2 + ……… + 3∧(n-1) =

a) 3∧n
b) 3∧n - 1
c) 3∧n - 1/ 2
d) 3∧n + 1

✔Answer

Correct Answer Is : 3∧n - 1/ 2

Solution Is :

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Quantitative Aptitude Practice Algebra Study Material

Mathematical Induction

One key basis for mathematical thinking is ______________.

Correct Answer Is : Deductive reasoning

Solution Is :

Inductive reasoning depends on working with:

Correct Answer Is : Both 1 and 2

Solution Is :

By deductive reasoning which is the correct statement from following:

Correct Answer Is : All of these

Solution Is :

True or false: one key basis for mathematical thinking is deductive reasoning.

Correct Answer Is : TRUE

Solution Is :

What is the meaning of induction?

Correct Answer Is : The generalisation from particular cases or facts

Solution Is :

By deductive reasoning which is the correct statement from following:

Correct Answer Is : All of these

Solution Is :

Induction reasoning a key aspect of scientific reasoning, where ___________ is the norm.

Correct Answer Is : Collecting and analysing data

Solution Is :

In algebra, there are certain results or statements that are formulated in terms of n, where n is a ____________.

Correct Answer Is : Positive integer

Solution Is :

Which principle is used to prove the statements that are formulated in terms of n?

Correct Answer Is : Principle of mathematical induction

Solution Is :

By principle of mathematical induction for all n ∈ N, 1 + 3 + 3∧2 + ……… + 3∧(n-1) =

Correct Answer Is : 3∧n - 1/ 2

Solution Is :

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