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NCERT Solutions for class 14 Maths | Chapter 14 - Mathematical Reasoning

Free download in PDF Class 11 Maths Chapter 14 Mathematical Reasoning Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) 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
Answer: 6 is a natural number
(2) 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
Answer: All of the above
(3) The converse of the statement p ⇒ q is
[A] p ⇒ q
[B] q ⇒ p
[C] ~p ⇒ q
[D] ~q ⇒ p
Answer: q ⇒ p
(4) 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
Answer: p only if q
(5) 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
Answer: all of the above
(6) 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
Answer: None of these
(7) 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
Answer: 6 is a natural number
(8) If (p or q) is true, then
[A] p is true and q is false
[B] p is true and q is true
[C] p is false and q is true
[D] All of the above
Answer: All of the above
(9) 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.
Answer: 7 is both odd and prime number.
(10) 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
Answer: 3 is a prime number
(11) 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.
Answer: Everyone in India speaks Hindi.
(12) 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
Answer: It is false that a natural number is not greater than zero
(13) The contra-positive of the statement if p then q is
[A] if ~p then q
[B] if p then ~q
[C] if q then p
[D] if ~q then ~p
Answer: if ~q then ~p
(14) 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
Answer: It is false that a natural number is not greater than zero
(15) 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
Answer: if a number is divisible by 5, then it is divisible by 10
(16) The connective in the statement 2 + 7 > 9 or 2 + 7 < 9 is
[A] and
[B] or
[C] >
[D] <
Answer: or
(17) 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
Answer: If a triangle is equilateral, it is isosceles
(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.
Answer: Mathematics is fun.
(19) 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
Answer: It is false that the product of 3 and 4 is 9
(20) 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
Answer: Not statements

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