Question Details

A conjecture in mathematics is :

Options

A

not important at all as it does not help in developing mathematical understanding.

B

a proposition or conclusion that has been proved.

C

important for students of secondary level only.

D

a proposition or conclusion that is assumed to be true on a tentative basis without proof.

Show Answer

Correct Answer :

Option D

a proposition or conclusion that is assumed to be true on a tentative basis without proof.

Solution :

The correct answer is: a proposition or conclusion that is assumed to be true on a tentative basis without proof.


Explanation:

In mathematics, a conjecture is an unproven statement, proposition, or conclusion that appears to be true based on preliminary observations, patterns, or intuition, but has not yet been rigorously proved or disproved.


Once a conjecture is formally proved using logical deduction and established axioms, it becomes a theorem. Until then, it remains a tentative statement accepted as a hypothesis subject to further proof.

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