{"id":17497,"date":"2022-05-24T20:00:39","date_gmt":"2022-05-24T14:30:39","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=17497"},"modified":"2022-05-16T15:30:29","modified_gmt":"2022-05-16T10:00:29","slug":"mcq-questions-for-class-11-maths-chapter-14","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/mcq-questions-for-class-11-maths-chapter-14\/","title":{"rendered":"MCQ Questions for Class 11 Maths Chapter 14 Mathematical Reasoning with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 11 Maths Chapter 14 Mathematical Reasoning with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use\u00a0MCQ Questions for Class 11 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Mathematical Reasoning Class 11 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 11 Maths Chapter 14 Mathematical Reasoning Objective Questions.<\/p>\n

Mathematical Reasoning Class 11 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Mathematical Reasoning Multiple Choice Questions of Class 11 Maths to know different concepts. Practicing the MCQ Questions on Mathematical Reasoning Class 11 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Mathematical Reasoning Class 11 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nWhich of the following statement is a conjunction
\n(a) Ram and Shyam are friends
\n(b) Both Ram and Shyam are friends
\n(c) Both Ram and Shyam are enemies
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) None of these
\nAll the statements are conjunction. So, option 4 is the correct answer.<\/p>\n<\/details>\n


\n

Question 2.
\nWhich of the following is true
\n(a) A prime number is either even or odd
\n(b) \u221a3 is irrational number.
\n(c) 24 is a multiple of 2, 4 and 8
\n(d) Everyone in India speaks Hindi.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) Everyone in India speaks Hindi.
\nThe statement Everyone in India speaks Hindi is not true.
\nThis is because, there are some states like Tamilnadu, Kerala, etc. where the person does not speak Hindi.<\/p>\n<\/details>\n


\n

Question 3.
\nThe contrapositive of the statement If a number is not divisible by 3, it is not divisible by 9 is
\n(a) If a number is divisible by 3, it is not divisible by 9
\n(b) If a number is not divisible by 3, it is divisible by 9
\n(c) If a number is divisible by 3, it is divisible by 9
\n(d) If a number is not divisible by 3, it is not divisible by 9<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) If a number is divisible by 3, it is divisible by 9
\nGiven, statement is: If a number is not divisible by 3, it is not divisible by 9
\nNow, contrapositive is:
\nIf a number is divisible by 3, it is divisible by 9<\/p>\n<\/details>\n


\n

Question 4.
\nThe negation of the statement The product of 3 and 4 is 9 is
\n(a) It is false that the product of 3 and 4 is 9
\n(b) The product of 3 and 4 is 12
\n(c) The product of 3 and 4 is not 12
\n(d) It is false that the product of 3 and 4 is not 9<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) It is false that the product of 3 and 4 is 9
\nGiven, statement is The product of 3 and 4 is 9
\nThe negation of the statement is:
\nIt is false that the product of 3 and 4 is 9<\/p>\n<\/details>\n


\n

Question 5.
\nThe connective in the statement Earth revolves round the Sun and Moon is a satellite of earth is
\n(a) or
\n(b) Earth
\n(c) Sun
\n(d) and<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) and
\nGiven, statement is Earth revolves round the Sun and Moon is a satellite of earth.
\nHere, and is the connective.
\nIt connects two statements Earth revolves round the Sun, Moon is a satellite of earth.<\/p>\n<\/details>\n


\n

Question 6.
\nIf p is a statement then the negation of p is
\n(a) p
\n(b) -p
\n(c) ~p
\n(d) p~<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) ~p
\nIf p is a statement then the negation of p is ~p<\/p>\n<\/details>\n


\n

Question 7.
\nIf (p or q) is false when
\n(a) p is true and q is false
\n(b) p is true and q is true
\n(c) p is false and q is false
\n(d) p is false and q is true<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) p is true and q is false
\n(p or q) is false when both p and q are false otherwise it is true.<\/p>\n<\/details>\n


\n

Question 8.
\nIf (p and q) is true then
\n(a) p is true and q is false
\n(b) p is false and q is false
\n(c) p is false and q is true
\n(d) p is true and q is true<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) p is true and q is true
\n(p and q) is true when both p and q are true otherwise it is false.<\/p>\n<\/details>\n


\n

Question 9.
\nIf (p and q) is false then
\n(a) p is true and q is false
\n(b) p is false and q is false
\n(c) p is false and q is true
\n(d) all of the above<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) all of the above
\n(p and q) is true when both p and q are true otherwise it is false.<\/p>\n<\/details>\n


\n

Question 10.
\nThe compound statement with AND is true if all its component statements are
\n(a) true
\n(b) false
\n(c) either true or false
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) true
\nThe compound statement with AND is true if all its component statements are true.
\nEx: Sheela is an honest and nice girl
\nIf this statement is true when the statements
\nSheela is an honest girl, Sheela is a nice girl are true separately.<\/p>\n<\/details>\n


\n

Question 11.
\nWhich of the following is not a negation of the statement A natural number is greater than zero
\n(a) A natural number is not greater than zero
\n(b) It is false that a natural number is greater than zero
\n(c) It is false that a natural number is not greater than zero
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) It is false that a natural number is not greater than zero
\nGiven statement is:
\nA natural number is greater than zero
\nNegation of the statement:
\nA natural number is not greater than zero
\nIt is false that a natural number is greater than zero
\nSo, option 3 is not true.<\/p>\n<\/details>\n


\n

Question 12.
\nIf 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?
\n(a) 2\/3
\n(b) 1\/4
\n(c) 1\/6
\n(d) 1\/3<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 1\/6
\nThe sugar I need = (1\/4)*(2\/3) = 2\/12 = 1\/6<\/p>\n<\/details>\n


\n

Question 13.
\nWhich of the following is the conditional p \u2192 q
\n(a) q is sufficient for p
\n(b) p is necessary for q
\n(c) p only if q
\n(d) if q then p<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) p only if q
\nGiven, p \u2192 q
\nNow, conditional of the statement is
\np only if q<\/p>\n<\/details>\n


\n

Question 14.
\nWhich of the following is true
\n(a) A prime number is either even or odd
\n(b) \u221a3 is irrational number.
\n(c) 24 is a multiple of 2, 4 and 8
\n(d) Everyone in India speaks Hindi.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) Everyone in India speaks Hindi.
\nThe statement Everyone in India speaks Hindi is not true.
\nThis is because, there are some states like Tamilnadu, Kerala, etc. where the person does not speak Hindi.<\/p>\n<\/details>\n


\n

Question 15.
\nWhich of the following statement is a conjunction
\n(a) Ram and Shyam are friends
\n(b) Both Ram and Shyam are friends
\n(c) Both Ram and Shyam are enemies
\n(d) None of these<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) None of these
\nAll the statements are conjunction. So, option 4 is the correct answer.<\/p>\n<\/details>\n


\n

Question 16.
\nThe converse of the statement If a number n is even, then n\u00b2 is even is
\n(a) If a number n is even, then n\u00b2 is even
\n(b) If a number n is even, then n\u00b2 is not even
\n(c) If a number n\u00b2 is even, then n is even
\n(d) If a number n\u00b2 is not even, then n is even<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) If a number n\u00b2 is even, then n is even
\nGiven, statement is: If a number n is even, then n\u00b2 is even
\nNow, the converse of the number is:
\nIf a number n\u00b2 is even, then n is even<\/p>\n<\/details>\n


\n

Question 17.
\nWhich of the following is a statement
\n(a) 8 is less than 5
\n(b) Every set is finite set
\n(c) Mathematics is fun.
\n(d) 2 is the only even prime number<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 2 is the only even prime number
\nThe statement 2 is the only even prime number is true.
\nSo, it is a statement.<\/p>\n<\/details>\n


\n

Question 18.
\nWhich of the following is a statement
\n(a) I will go tomorrow
\n(b) She will come today
\n(c) 3 is a prime number
\n(d) Tomorrow is Friday<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 3 is a prime number
\nThe statement 3 is a prime number is true.
\nSo, it is a statement.<\/p>\n<\/details>\n


\n

Question 19.
\nif p then q is written as
\n(a) p \u21d2 q
\n(b) q \u21d2 p
\n(c) p \u21d4 q
\n(d) q \u21d4 p<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) p \u21d2 q
\nif p then q is written as
\np \u21d2 q<\/p>\n<\/details>\n


\n

Question 20.
\nWhich of the following is not a statement
\n(a) The product of (-1) and 8 is 8
\n(b) All complex number are real number
\n(c) Today is windy day
\n(d) All of the above<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) All of the above
\nA sentence is a statement if it is true.
\nNone of the above sentence is true.
\nSo, option 4 is the correct answer.<\/p>\n<\/details>\n


\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 11 Maths Chapter 14 Mathematical Reasoning with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 11 Maths Mathematical Reasoning MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 11 Maths Chapter 14 Mathematical Reasoning with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use\u00a0MCQ Questions for Class 11 Maths with Answers during preparation and score maximum marks in the exam. Students can download …<\/p>\n

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