# MCQ on Class 11 Maths Chapter 14 Mathematical Reasoning with Answers

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## 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

(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

(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

(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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