Class 11 Maths Chapter 14 Mathematical Reasoning MCQs are given here with correct answers and explanations. These MCQs of Class 11 Maths are prepared based on the latest exam pattern, and as per the NCERT curriculum. Practising these multiple-choice questions on Mathematical reasoning helps to improve reasoning skills that can be applied to many concepts of mathematics.
Get MCQs for all the chapters of Class 11 Maths here.
Students can practise the objective type questions on Chapter 14 of Class 11 Maths, Mathematical reasoning and verify the answers with the provided ones. They can also go through the explanations given here for a better understanding of the techniques applied, to mark the right answers in their board exams 2022-2023.
Download PDF – Chapter 14 Mathematical Reasoning MCQs
Also, check:
- Mathematical Reasoning Class 11 Notes
- Important Questions for Class 11 Maths Chapter 14 Mathematical Reasoning
MCQs for Class 11 Maths Chapter 14 Mathematical Reasoning with Solutions
1. Which of the following is a statement?
(a) Roses are black.
(b) Mind your own business.
(c) Be punctual.
(d) Do not tell lies.
Correct option: (a) Roses are black.
Solution:
The sentences in (b), (c), and (d) are neither true nor false. All these sentences are pieces of advice.
Sentence (a) is a definite statement.
2. Which of the following is not a statement?
(a) Smoking is injurious to health.
(b) 2 + 2 = 4
(c) 2 is the only even prime number.
(d) Come here.
Correct option: (d) Come here.
Solution:
Smoking is injurious to health. – It is a statement.
2 + 2 = 4; It is a mathematical statement.
2 is the only even prime number. – Mathematical statement.
Come here. – It is not a statement but it is an order.
3. The negation of the statement “7 is greater than 8” is
(a) 7 is equal to 8.
(b) 7 is not greater than 8.
(c) 8 is less than 7.
(d) none of these.
Correct option: (b) 7 is not greater than 8.
Solution:
Statement: 7 is greater than 8
Negation: 7 is not greater than 8
4. The contrapositive of the statement “If p, then q”, is
(a) If q, then p.
(b) If p, then ~ q.
(c) If ~ q, then ~ p.
(d) If ~ p, then ~ q.
Correct option: (c) If ~ q, then ~ p.
Solution:
The contrapositive of the statement “If p, then q”, is If ~ q, then ~ p.
5. The connective in the statement “Earth revolves around the Sun and Moon is a satellite of earth” is
(a) or
(b) Earth
(c) Sun
(d) and
Correct option: (d) and
Solution:
Given statement: Earth revolves around the Sun and Moon is a satellite of earth
Here, the connective word is “and.”
6. The converse of the statement “If x > y, then x + a > y + a” is
(a) If x < y, then x + a < y + a.
(b) If x + a > y + a, then x > y.
(c) If x < y, then x + a > y + a.
(d) If x > y, then x + a < y + a.
Correct option: (b) If x + a > y + a, then x > y.
Solution:
As we know, the converse of a statement p ⇒ q is the statement q ⇒ p.
So, the converse of the statement “If x > y, then x + a > y + a” is If x + a > y + a, then x > y.
7. Which of the following statements is a conjunction?
(a) Ram and Shyam are friends.
(b) Both Ram and Shyam are tall.
(c) Both Ram and Shyam are enemies.
(d) None of the above
Correct option: (d) None of the above
Solution:
When the word connects two statements “and,” we call the combined statement conjunction.
None of the statements is connected by “and” from the given.
8. The contrapositive of the statement ‘If Chandigarh is the capital of Punjab, then Chandigarh is in India’ is
(a) If Chandigarh is not in India, then Chandigarh is not the capital of Punjab.
(b) If Chandigarh is in India, then Chandigarh is the capital of Punjab.
(c) If Chandigarh is not the capital of Punjab, then Chandigarh is not the capital of India.
(d) If Chandigarh is the capital of Punjab, then Chandigarh is not in India.
Correct option: (a) If Chandigarh is not in India, then Chandigarh is not the capital of Punjab.
Solution:
The contrapositive of a statement p ⇒ q is the statement ∼ q ⇒ ∼p.
Therefore, the contrapositive of the statement ‘If Chandigarh is the capital of Punjab, then Chandigarh is in India’ is “If Chandigarh is not in India, then Chandigarh is not the capital of Punjab.”
9. The method(s) that are used to check the validity of statements is/are
(a) contrapositive method
(b) method of contradiction
(c) using a counter example
(d) All the above
Correct option: (d) All the above
Solution:
The methods that are used to check the validity of statements include the following.
(i) direct method
(ii) contrapositive method
(iii) method of contradiction
(iv) using a counter example
10. The negation of the statement “Akash or Ankitha lived in Goa” is
(a) Akash did not live in Goa or Ankitha lives in Goa.
(b) Akash lives in Goa and Ankitha did not live in Goa.
(c) Akash did not live in Goa and Ankitha did not live in Goa.
(d) Akash did not live in Goa or Ankitha did not live in Goa.
Correct option: (c) Akash did not live in Goa and Ankitha did not live in Goa.
Solution:
Given,
Statement: Akash or Ankitha lived in Goa
Negation of the above statement is:
Akash did not live in Goa and Ankitha did not live in Goa.
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