Class 11 Mathematics Mathematical Reasoning MCQs

Refer to Class 11 Mathematics Mathematical Reasoning MCQs provided below. CBSE Class 11 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 11 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 14 Mathematical Reasoning are an important part of exams for Class 11 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects

MCQ for Class 11 Mathematics Chapter 14 Mathematical Reasoning

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 14 Mathematical Reasoning in Class 11. These MCQ questions with answers for Class 11 Mathematics will come in exams and help you to score good marks

Chapter 14 Mathematical Reasoning MCQ Questions Class 11 Mathematics with Answers

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 : 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 : 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 : 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 : 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

Answer :  A


Question : 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 : 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 : 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 : 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 : 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 : 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)]

Answer :  B


Question : 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 : 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 : ~(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 : 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 : (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 : 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

Answer :  C


Question : The propositions (p⇒~ p) Λ (~ p⇒p) is    
(a) Tautology and contradiction
(b) Neither tautology nor contradiction
(c) Contradiction
(d) Tautology

Answer :  C


Question : 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 : 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 : 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 : ~ (p∨ (~ q)) is equal to    
(a) ~ p ∨ q
(b) (~ p) ∧ q
(c) ~ p ∨ ~ p
(d) ~ p ∧ ~ p

Answer :  B


Question : 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 : ~ (p ∨ q)∨ (~ p Λ q) is logically equivalent to    
(a) ~p
(b) p
(c) q
(d) ~q

Answer :  A


Question : 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 : 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 : 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.

Answer :  D


Question : 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 : 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 : 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 : 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 : 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)

Answer :  C

Chapter 02 Relations and Functions
Class 11 Mathematics Relations and Functions MCQs
Chapter 03 Trigonometric Functions
Class 11 Mathematics Trigonometric Functions MCQs
Chapter 05 Complex Numbers and Quadratic Equations
Class 11 Mathematics Complex Numbers and Quadratic Equation MCQs
Chapter 06 Linear Inequalities
Class 11 Mathematics Linear Inequalities MCQs
Chapter 07 Permutations and Combinations
Class 11 Mathematics Permutations and Combinations MCQs
Chapter 08 Binomial Theorem
Class 11 Mathematics Binomial Theorem MCQs
Chapter 09 Sequences and Series
Class 11 Mathematics Sequences and Series MCQs
Chapter 12 Introduction to Three Dimensional Geometry
Class 11 Mathematics Introduction To Three-Dimensional Geometry MCQs
Chapter 13 Limits and Derivatives
Class 11 Mathematics Limits And Derivatives MCQs
Chapter 14 Mathematical Reasoning
Class 11 Mathematics Mathematical Reasoning MCQs

More Study Material

CBSE Class 11 Mathematics Chapter 14 Mathematical Reasoning MCQs

We hope students liked the above MCQs for Chapter 14 Mathematical Reasoning designed as per the latest syllabus for Class 11 Mathematics released by CBSE. Students of Class 11 should download the Multiple Choice Questions and Answers in Pdf format and practice the questions and solutions given in above Class 11 Mathematics MCQs Questions on daily basis. All latest MCQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 11 students to get all latest study material free of cost.

MCQs for Mathematics CBSE Class 11 Chapter 14 Mathematical Reasoning

Expert teachers of studiestoday have referred to NCERT book for Class 11 Mathematics to develop the Mathematics Class 11 MCQs. If you download MCQs with answers for the above chapter daily, you will get higher and better marks in Class 11 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all MCQs for Class 11 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the MCQs which have been developed as per latest course books also refer to the NCERT solutions for Class 11 Mathematics designed by our teachers

Chapter 14 Mathematical Reasoning MCQs Mathematics CBSE Class 11

All MCQs given above for Class 11 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 11 can refer to the answers which have been also provided by our teachers for all MCQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Class 11 Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Class 11 Mathematics students have been given on studiestoday.

Chapter 14 Mathematical Reasoning CBSE Class 11 MCQs Mathematics

Regular MCQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 14 Mathematical Reasoning concepts. MCQs play an important role in developing understanding of Chapter 14 Mathematical Reasoning in CBSE Class 11. Students can download and save or print all the MCQs, printable assignments, practice sheets of the above chapter in Class 11 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 11 Mathematics MCQ Test for the same chapter

CBSE MCQs Mathematics Class 11 Chapter 14 Mathematical Reasoning

CBSE Class 11 Mathematics best textbooks have been used for writing the problems given in the above MCQs. If you have tests coming up then you should revise all concepts relating to Chapter 14 Mathematical Reasoning and then take out print of the above MCQs and attempt all problems. We have also provided a lot of other MCQs for Class 11 Mathematics which you can use to further make yourself better in Mathematics

Where can I download latest CBSE MCQs for Class 11 Mathematics Chapter 14 Mathematical Reasoning

You can download the CBSE MCQs for Class 11 Mathematics Chapter 14 Mathematical Reasoning for latest session from StudiesToday.com

Can I download the MCQs of Chapter 14 Mathematical Reasoning Class 11 Mathematics in Pdf

Yes, you can click on the links above and download topic wise MCQs Questions PDFs for Chapter 14 Mathematical Reasoning Class 11 for Mathematics

Are the Class 11 Mathematics Chapter 14 Mathematical Reasoning MCQs available for the latest session

Yes, the MCQs issued by CBSE for Class 11 Mathematics Chapter 14 Mathematical Reasoning have been made available here for latest academic session

How can I download the Chapter 14 Mathematical Reasoning Class 11 Mathematics MCQs

You can easily access the links above and download the Chapter 14 Mathematical Reasoning Class 11 MCQs Mathematics for each topic

Is there any charge for the MCQs with answers for Class 11 Mathematics Chapter 14 Mathematical Reasoning

There is no charge for the MCQs and their answers for Class 11 CBSE Mathematics Chapter 14 Mathematical Reasoning you can download everything free

How can I improve my MCQs in Class 11 Mathematics Chapter 14 Mathematical Reasoning

Regular revision of MCQs given on studiestoday for Class 11 subject Mathematics Chapter 14 Mathematical Reasoning can help you to score better marks in exams

What are MCQs for Class 11 Mathematics Chapter 14 Mathematical Reasoning

Multiple Choice Questions (MCQs) for Chapter 14 Mathematical Reasoning Class 11 Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.