CBSE Class 11 Mathematics Chapter 14 Mathematical Reasoning Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Mathematical Reasoning with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Mathematical Reasoning MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Mathematical Reasoning with Answers - Set - 2
Question 1:
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
Correct Answer – (C)
Given statement is:
A natural number is greater than zero
Negation of the statement:
A natural number is not greater than zero
It is false that a natural number is greater than zero
So, option 3 is not true.
Question 2 :
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
Correct Answer – (D)
Given, statement is if a number is divisible by 10, then it is divisible by 5
Now, converse of the statement is:
if a number is divisible by 5, then it is divisible by 10
Question 3 :
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
Correct Answer – (A)
Given, statement is The product of 3 and 4 is 9
The negation of the statement is:
It is false that the product of 3 and 4 is 9
Question 4 :
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
Correct Answer – (D)
(p and q) is true when both p and q are true otherwise it is false.
Question 5 :
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.
Correct Answer – (D)
8 is less than 6 if false. So it is a statement.
Every set is finite set is false. So it is a statement.
The sun is a star is true. So it is a statement.
Mathematics is fun. This sentence is not always true. Hence, it is not a statement.
MCQ Class 11 Mathematics Mathematical Reasoning with Answers
Question 6 :
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
Correct Answer – (C)
Given, p → q
Now, conditional of the statement is
p only if q
Question 7 :
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
Correct Answer – (B)
Sentence involving variable time such as today, tomorrow, or yesterday are not statements. This is because it is not known what time is referred here.
Question 8 :
The converse of the statement p ⇒ q is
(a) p ⇒ q
(b) q ⇒ p
(c) ~p ⇒ q
(d) ~q ⇒ p
Correct Answer – (B)
q ⇒ p
Question 9 :
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.
Correct Answer – (D)
The statement Everyone in India speaks Hindi is not true.
This is because, there are some states like Tamilnadu, Kerala, etc. where the person does not speak Hindi
Question 10 :
Which of the following is a statement
(a) x is a real number
(b) Switch of the fan
(c) 6 is a natural number
(d) Let me go
Correct Answer – (C)
The statement 6 is a natural number is true.
So, it is a statement.
- NCERT Solutions Class 11 Mathematics Mathematical Reasoning with Answers : Exercise 14.1
- NCERT Solutions Class 11 Mathematics Mathematical Reasoning with Answers : Exercise 14.2
- NCERT Solutions Class 11 Mathematics Mathematical Reasoning with Answers : Exercise 14.3
- NCERT Solutions Class 11 Mathematics Mathematical Reasoning with Answers : Exercise 14.4
- NCERT Solutions Class 11 Mathematics Mathematical Reasoning with Answers : Exercise 14.5
- NCERT Solutions Class 11 Mathematics Mathematical Reasoning with Answers : Exercise 14 Misc
- NCERT Solutions Class 11 Mathematics Textbook download
