Mathematical Reasoning Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Mathematical Reasoning class 11 MCQ which will help them all through their board test.

## Mathematical Reasoning Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 14 Mathematical Reasoning. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Mathematical Reasoning Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Mathematical Reasoning MCQ with answers given below.

**Question 1 : If p, q, r are statement with truth vales F, T, F respectively then the truth value of p→(q → r) is **

(a) false

(b) true

(c) true if p is true

(d) none**Answer : B****Question 2: In the truth table for the statement ~ ( ~ p ∨ ~ q),the last column has the truth value in the following order **

(a) TFFF

(b) TTFT

(c) FTTF

(d) FFFT

**Answer : A****Question 3: In the truth table for the statement ( ~ p → ~ q) ∧( ~ q → ~ p), the last column has the truth value in the following order is **

(a) TTTF

(b) FTTF

(c) TFFT

(d) TTTT

(d) (p Λ q) ∨ (~ q Λ ~ r).

**Answer : C****Question 4: Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.” **

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

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

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

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

**Answer : B****Question 5: If p ⇒ (q ∨ r) is false, then the truth values of p, q, r are respectively **

(a) T, F, F

(b) F, F, F

(c) F, T, T

(d) T, T, F

**Answer : A****Question 6 : Which of the following is true? **

(a) p⇒q ≡~ p⇒ ~ q

(b) ~ (p ⇒ ~ q) ≡ ~ p ∧ q

(c) ~ (~ p ⇒ ~ q) ≡ ~ p ∧ q

(d) ~ (~ p ⇔ q) ≡ [~ (p⇒q)∧ ~ (q⇒p)]

**Click for Answer**

B

**Question : Which of the following is not a statement? **

(a) 2 is an even integer.

(b) 2 + 1= 3.

(c) The number 17 is prime.

(d) x + 3 = 10, x Î R.

**Answer : D****Question 7 : 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

(a) (~ p → q)

(b) (p → q)

(c) ~ (p → ~ q)

(d) ~ ( p ↔ q)

**Answer : B**

**Question 8 : Consider the following statements **

P : Suman is brilliant

Q : Suman is rich

R : Suman is honest

The negation of the statement “Suman is brilliant and dishonest if and only if Suman is rich” can be expressed as

(a) ~ (Q ↔ (PΛ ~ R))

(b) ~ Q ↔~ P Λ R

(c) ~ (PΛ ~ R) ↔Q

(d) ~ P Λ (Q ↔ ~ R)

**Answer : A****Question 9 : The only statement among the following that is a tautology is **

(a) A Λ (A ∨ B)

(b) A ∨ (A Λ B)

(c) [A Λ (A → B)] → B

(d) B → [A Λ (A → B)]

**Answer : C****Question 10 : If (p ∧ ~ r)⇒(q ∨r) is false and q and r are both false, then p is **

(a) True

(b) False

(c) May be true or false

(d) Data sufficient

**Click for Answer**

A

**Question 11: The propositions (p⇒~ p) Λ (~ p⇒p) is **

(a) Tautology and contradiction

(b) Neither tautology nor contradiction

(c) Contradiction

(d) Tautology

**Answer : C****Question 12: The negation of the statement (p Λ q) → (~ p ∨ r) is **

(a) (p Λ q) ∨ (p ∨ ~ r)

(b) (p Λ q) ∨ (p Λ ~ r)

(c) (p Λ q) Λ (p Λ~ r)

(d) p ∨ q

**Answer : C****Question 13 : The false statement in the following is **

(a) p Λ (~ p) is contradiction

(b) (p⇒q) ⇔ (~ q⇒~ p) is a contradiction

(c) ~ (~ p) ⇔ p is a tautology

(d) p∨ (~ p) ⇔ is a tautology

**Answer : B**

**Question 14 : If p, q, r are statement with truth values F, T, F respectively then the truth value of (~ p → ~ q) ∨ r is **

(a) true

(b) false

(c) false if r is true

(d) false if q is false

**Answer : B****Question 15 : ~ (p∨ (~ q)) is equal to **

(a) ~ p ∨ q

(b) (~ p) ∧ q

(c) ~ p ∨ ~ p

(d) ~ p ∧ ~ p

**Click for Answer**

B

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Mathematical Reasoning Class 11 MCQ are ready by the subject specialists themselves.

**Question 16 : If p and q are true statement and r, s are false statements then the truth value of ~[(p∧~r)∨(~q ∨ s)] is **

(a) true

(b) false

(c) false if p is true

(d) none

**Answer : D****Question 17 : In the truth table for the statement ( p ∧ q) →(q ∨ ~ p), the last column has the truth value in the following order is **

(a) TTFF

(b) FTTT

(c) TFTT

(d) TTTT**Answer : D****Question 18 : ~(p → q)→ [(~p) ∨ (~ q)] is **

(a) a tautology

(b) a contradiction

(c) neither a tautology nor contradiction

(d) cannot come any conclusion

**Answer : A**

**Question 19 : Which of the following is a contradiction? **

(a) (p Λ q)Λ ~ (p ∨ q)

(b) p∨ (-p Λ q)

(c) (p ⇒ q) ⇒ p

(d) None of these

**Answer : A****Question 20 : (p Λ ~ q) Λ (~ p ∨q) is **

(a) A contradiction

(b) A tautology

(c) Either (a) or (b)

(d) Neither (a) nor (b)

**Answer : A****Question 21 : Which of the following is always true? **

(a) (p⇒q) ≡ ~ q⇒~ p

(b) ~ (p ∨ q) ≡ ∨ p ∨ ~ q

(c) ~ (p⇒q) ≡ p Λ ~ q

(d) ~ (p ∨ q) ≡ ~ p Λ ~ q

**Click for Answer**

C

**Question 22 : If p⇒(~ p ∨ q) is false, the truth values of p and q are respectively **

(a) F, T

(b) F, F

(c) T, T

(d) T, F

**Answer : D**

**Question 23 : Negation is “2 + 3 = 5 and 8 < 10” is **

(a) 2 + 3 ≠ 5 and < 10

(b) 2 + 3 = 5 and 8 (c) 2 + 3 ¹ 5 or 8 (d) None of these

**Answer : C****Question 24 : If p⇒(~ p ∨ q) is false, the truth values of p and q are respectively **

(a) F, T

(b) F, F

(c) T, T

(d) T, F

**Answer : D**

**Question 25 : Negation of the proposition : If we control population growth, we prosper **

(a) If we do not control population growth, we prosper

(b) If we control population growth, we do not prosper

(c) We control population but we do not prosper

(d) We do not control population, but we prosper

**Answer : C****Question 26 : The negation of (p ∨ q)Λ (p ∨ ~ r) is **

(a) (~ p Λ ~ q) ∨ (q Λ ~ r)

(b) (~ p Λ ~ q) ∨ (~ q Λ r)

(c) (~ p Λ ~ q) ∨ (~ q Λ r)

**Click for Answer**

C

**Question 27 : The negation of the statement (p∨ q) Λ r is **

(a) (~ p ∨ ~ q) ∨ ~ q

(b) (~ p Λ ~ q) ∨ ~ r

(c) ~ (p ∨ q)→ r

(d) pΛq.

**Answer : B****Question 28 : ~ (p ∨ q)∨ (~ p Λ q) is logically equivalent to **

(a) ~p

(b) p

(c) q

(d) ~q

**Answer : A****Question 29 : The negation of (p ∨ q)Λ (p ∨ ~ r) is **

(a) (~ p Λ ~ q) ∨ (q Λ ~ r)

(b) (~ p Λ ~ q) ∨ (~ q Λ r)

(c) (~ p Λ ~ q) ∨ (~ q Λ r)

(d) (p Λ q) ∨ (~ q Λ ~ r).

**Answer : C****Question 30 : Let S be a non-empty subset of R. Consider the following statement : P : There is a rational number x Î S such that x > 0. **

Which of the following statements is the negation of the statement P ?

(a) There is no rational number x Î S such than x < 0.

(b) Every rational number x Î S satisfies x < 0.

(c) x Î S and x < 0 ⇒ x is not rational.

(d) There is a rational number x Î S such that x < 0.

**Answer : B****Question 31: Which of the following is not a statement in logic? **

(a) The sum of angles of a quadrilateral is 180°.

(b) Every statement has one truth value.

(c) 3 is an irrational number.

(d) x + 5 = 7, x Î Q.

**Click for Answer**

D

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### Frequently Asked Question (FAQs)

## How many MCQ questions are there in Class 11 Chapter 14 Mathematics?

In Class 11 Chapter 14 Mathematics, we have provided 31 Important MCQ Questions, But in the future, we will add more MCQs so that you can get good marks in the Class 11 exam.

## Can we score good marks in Class 11 Mathematics with the help of Mathematical Reasoning MCQ Questions?

Yes, MCQ Question is one of the best strategies to make your preparation better for the CBSE Board Exam. It also helps to know the student’s basic understanding of each Chapter. So, You can score good marks in the Class 9 Mathematics exam.