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

Questions
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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