Mathematical Reasoning MCQ Questions for Class 11 Maths Chapter 14 with Answers

We have completed the NCERT/CBSE chapter-wise Multiple Choice Questions for Class 11 Mathematics book Chapter 14 Mathematical Reasoning with Answers by expert subject teacher for latest syllabus and examination. You can Prepare effectively for the exam taking the help of the Class 11 Maths Objective Questions PDF free of cost from here. Students can take a free test of the Multiple Choice Questions of Mathematical Reasoning. Each Questions has four options followed by the right answer. Download the Maths Quiz Questions with Answers for Class 11 free Pdf and prepare to exam and help students understand the concept very well.

MCQ Questions for Class 11 Mathematics Chapter wise with Answers

Q1. The negation of the statement The product of 3 and 4 is 9 is

(i) It is false that the product of 3 and 4 is 9
(ii) The product of 3 and 4 is 12
(iii) The product of 3 and 4 is not 12
(iv) It is false that the product of 3 and 4 is not 9

(i) It is false that the product of 3 and 4 is 9

Q2. Which of the following is a statement

(i) x is a real number
(ii) Switch of the fan
(iii) 6 is a natural number
(iv) Let me go

(iii) 6 is a natural number

Q3. Let p: Kiran passed the examination, q: Kiran is sad
The symbolic form of a statement “It is not true that Kiran passed therfore he is said’ is

(i) (~ p → q)
(ii) (p → q)
(iii) ~ (p → ~ q)
(iv) ~ ( p ↔ q)

(ii) (p → q)

Q4. Which of the following is not a statement?

(i) Two and two makes four
(ii) A prime number is always odd
(iii) Sum of a and b is 5
(iv) Elephant is heavier than ant

(iii) Sum of a and b is 5

Q5. If p is a statement then the negation of p is

(i) p
(ii) -p
(iii) ~p
(iv) p~

(iii) ~p

Q6. hich of the following is a statement

(i) I will go tomorrow
(ii) She will come today
(iii) 3 is a prime number
(iv) Tomorrow is Friday

(iii) 3 is a prime number

Q7. The only statement among the following that is a tautology is

(i) A Λ (A ∨ B)
(ii) A ∨ (A Λ B)
(iii) [A Λ (A → B)] → B
(iv) B → [A Λ (A → B)]

(iii) [A Λ (A → B)] → B

Q8. If (p and q) is true then

(i) p is true and q is false
(ii) p is false and q is false
(iii) p is false and q is true
(iv) p is true and q is true

(iv) p is true and q is true

Q9. Which of the following is not a statement

(i) The product of (-1) and 8 is 8
(ii) All complex number are real number
(iii) Today is windy day
(iv) All of the above

(iv) All of the above

Q10. In the truth table for the statement ~ ( ~ p ∨ ~ q),the last column has the truth value in the following order

(i) TFFF
(ii) TTFT
(iii) FTTF
(iv) FFFT

(i) TFFF

Q11. Which of the following is a statement?

(i) Close the door
(ii) 11 comes after 12
(iii) India is a beautiful country
(iv) This is useless

(ii) 11 comes after 12

Q12. If (p ∧ ~ r)⇒(q ∨r) is false and q and r are both false, then p is

(i) True
(ii) False
(iii) May be true or false
(iv) Data sufficient

(i) True

Q13. Which of the following is a compound statement

(i) Sun is a star
(ii) I am a very strong boy
(iii) There is something wrong in the room
(iv) 7 is both odd and prime number.

(iv) 7 is both odd and prime number.

Q14. Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”

(i) If a number is not a prime then it is odd
(ii) If a number is not a prime then it is odd
(iii) If a number is not odd then it is not a prime
(iv) If a number is not odd then it is a prime

(ii) If a number is not a prime then it is odd

Q15. If a recipe calls for 2/3 cups of sugar but I only want to make 1/4 of the recipe, how much sugar do I need?

(i) 2/3
(ii) 1/4
(iii) 1/6
(iv) 1/3

(iii) 1/6

Q16. Which of the following is not a statement

(i) 8 is less than 6.
(ii) Every set is finite set.
(iii) The sun is a star.
(iv) Mathematics is fun.

(iv) Mathematics is fun

Q17. Which of the following is true?

(i) p⇒q ≡~ p⇒ ~ q
(ii) ~ (p ⇒ ~ q) ≡ ~ p ∧ q
(iii) ~ (~ p ⇒ ~ q) ≡ ~ p ∧ q
(iv) ~ (~ p ⇔ q) ≡ [~ (p⇒q)∧ ~ (q⇒p)]

(ii) ~ (p ⇒ ~ q) ≡ ~ p ∧ q

Q18. Which of the following statement is a conjunction

(i) Ram and Shyam are friends
(ii) Both Ram and Shyam are friends
(iii) Both Ram and Shyam are enemies
(iv) None of these

(iv) None of these

Q19. If (p and q) is false then

(i) p is true and q is false
(ii) p is false and q is false
(iii) p is false and q is true
(iv) all of the above

(iv) all of the above

Q20. ~(p → q)→ [(~p) ∨ (~ q)] is

(i) a tautology
(ii) a contradiction
(iii) neither a tautology nor contradiction
(iv) cannot come any conclusion

(i) a tautology

Q21. Which of the following is not a statement

(i) The product of (-1) and 8 is 8
(ii) All complex number are real number
(iii) Today is windy day
(iv) All of the above

(iv) All of the above

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MCQ Questions for Class 11 Mathematics Chapter wise with Answers

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