Class 11 Mathematics — Chapter 14: Mathematical Reasoning
67 practice questions · 22 Easy · 22 Medium · 23 Hard
Practise Class 11 Mathematics Chapter 14, "Mathematical Reasoning", with 67 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 23 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams, JEE Main and JEE Advanced.
"Mathematical Reasoning" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Mathematical Reasoning, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 67.
Key concepts: Mathematical Reasoning (Class 11 Mathematics)
This chapter introduces mathematical logic — statements, connectives, quantifiers, and methods of validating arguments.
- Statement
- A sentence that is either true or false but not both; the basic unit of mathematical reasoning.
- Negation & connectives
- Negation (not), and (∧), or (∨), and the compound statements they form.
- Implication
- 'If p then q' (p ⇒ q), with its converse, contrapositive and inverse.
- Quantifiers
- 'For all' (∀) and 'there exists' (∃) turn open sentences into statements.
- Validating statements
- Methods include direct proof, contrapositive, contradiction and counter-example.
Key formulas — Mathematical Reasoning
💡 Exam tips for Mathematical Reasoning
- A statement and its contrapositive are logically equivalent — proving one proves the other.
- A single counter-example is enough to disprove a 'for all' statement.
Sample questions
A mathematical statement is:
Definite truth value.
p AND q is true only when:
Conjunction truth table.
Contrapositive of "if p then q" is:
Logically equivalent to original.
Mathematical Reasoning — FAQs
What are the key concepts in Class 11 Mathematics Mathematical Reasoning?+
This chapter introduces mathematical logic — statements, connectives, quantifiers, and methods of validating arguments. Key ideas include Statement, Negation & connectives, Implication, Quantifiers, Validating statements.
What does Class 11 Mathematics Chapter 14 (Mathematical Reasoning) cover on XamBaaz?+
It covers 67 NCERT-aligned MCQs on "Mathematical Reasoning" — 22 Easy, 22 Medium and 23 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
Are these "Mathematical Reasoning" questions free to practise?+
Yes — sign in with Google to practise "Mathematical Reasoning" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Mathematical Reasoning" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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