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

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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) The negation of the statement

“It is raining and weather is cold.” is

[A] It is not raining and weather is cold.
[B] It is raining or weather is not cold.
[C] It is not raining or weather is not cold.
[D] It is not raining and weather is not cold.
Answer: It is not raining or weather is not cold.
(2) Which of the following is a statement?
[A] Roses are black.
[B] Mind your own business.
[C] Be punctual.
[D] Do not tell lies
Answer: (A) is the correct answer as the sentences in (B), (C) and (D) are neither true nor false. Infect all these sentences are advices.

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(3) A sentence is called a mathematically acceptable if it is
[A] True
[B] False
[C] Either true or false
[D] Neither true nor false
Answer: Either true or false
(4) Which of the following is a statement
[A] x is a real number
[B] Switch off the fan
[C] 2 + 2 = 4
[D] Let me go
Answer: 2 + 2 = 4
(5) The converse of the statement If a number n is even, then n2 is even is
[A] If a number n is even, then n2 is even
[B] If a number n is even, then n2 is not even
[C] If a number n2 is even, then n is even
[D] If a number n2 is not even, then n is even
Answer: If a number n2 is even, then n is even
(6) If (p or q) is false when
[A] p is true and q is false
[B] p is true and q is true
[C] p is false and q is false
[D] p is false and q is true
Answer: p is true and q is false
(7) p if and only if q is written as
[A] p => q
[B] q => p
[C] p <=> q
[D] q <=> p
Answer: p <=> q
(8) 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
Answer: true
(9) Which of the following is a compund 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) 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
Answer: 1/6
(11) 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
(12) 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
(13) The contrpositive of the statement If you are a citizen of India, then you were born in India is
[A] If you are not a citizen of India, then you were not born in India
[B] If you are not a citizen of India, then you were born in India
[C] If you are a citizen of India, then you were not born in India
[D] None of these
Answer: If you are not a citizen of India, then you were not born in India
(14) 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
(15) 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.
(16) The contrapositive of the statements If you are not a citizen of India, then you were not born in India is
[A] If you are not a citizen of India, then you were not born in India
[B] If you are not a citizen of India, then you were born in India
[C] If you are a citizen of India, then you were not born in India
[D] If you are a citizen of India, then you were born in India
Answer: If you are a citizen of India, then you were born in India
(17) 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
(18) The contrapositive of statement p => q is
[A] q => p
[B] q => ~p
[C] ~q => p
[D] ~q => ~p
Answer: ~q => ~p
(19) Which of the follwing is not a statement
[A] Go there
[B] 2 + 2 = 4
[C] 2 is the only even prime number.
[D] Come here
Answer: Come here
(20) The contrpositive of the statement If you are a citizen of India, then you were born in India is
[A] If you are not a citizen of India, then you were not born in India
[B] If you are not a citizen of India, then you were born in India
[C] If you are a citizen of India, then you were not born in India
[D] None of these
Answer: If you are not a citizen of India, then you were not born in India

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