Chapter 14: Mathematical Reasoning

NCERT Solutions for CBSE Class 10 Mathematics — 5 solved questions with detailed explanations.

Questions

Topics

Solved Questions

Q1. The contrapositive of 'If p then q' is:

Difficulty: Easy · Topic: Logic

Contrapositive of p ⇒ q is ¬q ⇒ ¬p. It is logically equivalent to the original.

Q2. The negation of 'All cats are black' is:

Difficulty: Easy-Medium · Topic: Negation

Negation of '∀x, P(x)' is '∃x, ¬P(x)'. Some cats are not black.

Q3. The converse of p⇒q is

Difficulty: Easy-Medium · Topic: Mathematical Reasoning

q⇒p.

Q4. A tautology is a statement that is

Difficulty: Easy-Medium · Topic: Mathematical Reasoning

always true.

Q5. A contradiction is a statement that is

Difficulty: Easy-Medium · Topic: Mathematical Reasoning

always false.

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