MCQ on Class 11 Maths Chapter 14 Mathematical Reasoning with Answers

Check the below NCERT MCQ Questions for Class 11 Maths Chapter 14 Mathematical Reasoning with Answers Pdf free download. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. We have provided Mathematical Reasoning Class 11 Maths MCQs Questions with Answers to help students understand the concept very well.

Q.1 Which of the following is not a statement

(a) The product of (-1) and 8 is 8
(b) All complex number are real number
(c) Today is windy day
(d) All of the above

(d) All of the above

Q.2 If p then q is written as

(a) p ⇒ q
(b) q ⇒ p
(c) p ⇔ q
(d) q ⇔ p

(a) p ⇒ q

Q.3 Which of the following is a statement

(a) I will go tomorrow
(b) She will come today
(c) 3 is a prime number
(d) Tomorrow is Friday

(c) 3 is a prime number

Q.4 Which of the following is a statement

(a) 8 is less than 5
(b) Every set is finite set
(c) Mathematics is fun
(d) 2 is the only even prime number

(d) 2 is the only even prime number

Q.5 Which of the following statement is a conjunction

(a) Ram and Shyam are friends
(b) Both Ram and Shyam are friends
(c) Both Ram and Shyam are enemies
(d) None of these

(d) None of these

Q.6 Which of the following is not a negation of the statement A natural number is greater than zero

(a) A natural number is not greater than zero
(b) It is false that a natural number is greater than zero
(c) It is false that a natural number is not greater than zero
(d) None of these

(c) It is false that a natural number is not greater than zero

Q.7 Which of the following is the conditional p → q

(a) q is sufficient for p
(b) p is necessary for q
(c) p only if q
(d) if q then p

(c) p only if q

Q.8 The converse of the statement if a number is divisible by 10, then it is divisible by 5 is

(a) if a number is not divisible by 5, then it is not divisible by 10
(b) if a number is divisible by 5, then it is not divisible by 10
(c) if a number is not divisible by 5, then it is divisible by 10
(d) if a number is divisible by 5, then it is divisible by 10

(d) if a number is divisible by 5, then it is divisible by 10

Q.9 Sentence involving variable time such as today, tomorrow, or yesterday are

(a) Statements
(b) Not statements
(c) may or may not be statements
(d) None of these

(b) Not statements

Q.10 The negation of the statement The product of 3 and 4 is 9 is

(a) It is false that the product of 3 and 4 is 9
(b) The product of 3 and 4 is 12
(c) The product of 3 and 4 is not 12
(d) It is false that the product of 3 and 4 is not 9

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

Q.11 The converse of the statement p ⇒ q is

(a) p ⇒ q
(b) q ⇒ p
(c) ~p ⇒ q
(d) ~q ⇒ p

(b) q ⇒ p

Q.12 If (p and q) is false then

(a) p is true and q is false
(b) p is false and q is false
(c) p is false and q is true
(d) all of the above

(d) all of the above

Q.13 Which of the following is true

(a) A prime number is either even or odd
(b) √3 is irrational number
(c) 24 is a multiple of 2, 4 and 8
(d) Everyone in India speaks Hindi

(d) Everyone in India speaks Hindi

Q.14 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?

(a) 2/3
(b) 1/4
(c) 1/6
(d) 1/3

(c) 1/6

Q.15 Which of the following is not a negation of the statement A natural number is greater than zero

(a) A natural number is not greater than zero
(b) It is false that a natural number is greater than zero
(c) It is false that a natural number is not greater than zero
(d) None of these

(c) It is false that a natural number is not greater than zero

Q.16 The compound statement with AND is true if all its component statements are

(a) true
(b) false
(c) either true or false
(d) None of these

(a) true

Q.17 If (p and q) is true then

(a) p is true and q is false
(b) p is false and q is false
(c) p is false and q is true
(d) p is true and q is true

(d) p is true and q is true

Q.18 Which of the following is not a statement

(a) 8 is less than 6
(b) Every set is finite set
(c) The sun is a star
(d) Mathematics is fun

(d) Mathematics is fun

Q.19 Which of the following is a compound statement

(a) Sun is a star
(b) I am a very strong boy
(c) There is something wrong in the room
(d) 7 is both odd and prime number

(d) 7 is both odd and prime number

Q.20 The contra-positive of the statement If a triangle is not equilateral, it is not isosceles is

(a) If a triangle is not equilateral, it is not isosceles
(b) If a triangle is equilateral, it is not isosceles
(c) If a triangle is not equilateral, it is isosceles
(d) If a triangle is equilateral, it is isosceles

(d) If a triangle is equilateral, it is isosceles

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