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

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Questions
1 Which of the following statement is conjuction?
A Ram and Shyam are friends.
B Both Ram and Shyam are tall.
C Both Ram and Shyam are enemies.
D None of the above.

Answer:None of the above.
2 Which of the following is not a negation of “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 the above

Answer:It is false that a natural number is not greater than zero.
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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.

Answer:It is false that the product of 3 and 4 is 9.
4 The contrapositive of statement “If Chandigarh is Capital of Punjab, then Chandigarh is in India” is
A If Chandigarh is not in India, then Chandigarh is not the Capital of Punjab.
B If Chandigarh is in India, then Chandigarh is Capital of Punjab.
C If Chandigarh is not Capital of Punjab, then Chandigarh is not Capital of India.
D If Chandigarh is Capital of Punjab, then Chandigarh not in India.

Answer:If Chandigarh is not in India, then Chandigarh is not the Capital of Punjab.
5 The statement “If x2 is not even, then x is not even” is converse of the statement.
A If x2 is odd, then x is even.
B If x is not even, then x2 is not even.
C If x is even, then x2 is even.
D If x is odd, then x2 is even.

Answer:If x is not even, then x2 is not even.
6 The contrapositive of the statement “If p, then q”, is
A If q, then p
B If p, then ~ q
C If ~ q, then ~ p
D If ~ p then ~ q

Answer:If ~ q, then ~ p
7 The converse of the statement “If Sun is not shining, then Sky is filled with clouds” is
A If Sky is filled with clouds, then the Sun is not shining.
B If Sun is shining, then Sky is filled with clouds.
C If Sky is clear, then Sun is shining.
D If Sun is not shining, then Sky is not filled with clouds.

Answer:If Sky is filled with clouds, then the Sun is not shining.
8 The converse of the statement “If x > y, then x + a > y + a” is
A If x < y, then x + a < y + a
B If x + a > y + a, then x > y
C If x < y, then x + a > y + a
D If x > y, then x + a < y + a

Answer:If x + a > y + a, then x > y
9 The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is
A If 8 is greater than 6, then 7 is greater than 5.
B If 8 is not greater than 6, then 7 is greater than 5.
C If 8 is not greater than 6, then 7 is not greater than 5.
D If 8 is greater than 6, then 7 is not greater than 5.

Answer:If 8 is not greater than 6, then 7 is not greater than 5.
10 The negation of the statement “101 is not a multiple of 3” is
A 101 is a multiple of 3.
B 101 is a multiple of 2.
C 101 is an odd number.
D 101 is an even number.

Answer:101 is a multiple of 3.
11 The negation of the statement “Rajesh or Rajni lived in Bengaluru” is
A Rajesh did not live in Bengaluru or Rajni lives in Bengaluru.
B Rajesh live in Bengaluru and Rajni did not live in Bengaluru.
C Rajesh did not live in Bengaluru and Rajni did not live in Bengaluru.
D Rajesh did not live in Bengaluru or Rajni did not live in Bengaluru.

Answer:Rajesh did not live in Bengaluru and Rajni did not live in Bengaluru.
12 The negative of the statement “Plants take in CO2 and give out O2” is
A Plants do not take in CO2 and do not give out O2.
B Plants do not take in CO2 or do not give out O2.
C Plants take in CO2 and do not give out O2.
D Plants take in CO2 or do not give out O2.

Answer:Plants do not take in CO2 or do not give out O2.
13 The negation of the statement “72 is divisible by 2 and 3” is
A 72 is not divisible by 2 or 72 is not divisible by 3.
B 72 is not divisible by 2 and 72 is not divisible by 3.
C 72 is divisible by 2 and 72 is not divisible by 3.
D 72 is not divisible by 2 and 72 is divisible by 3.

Answer:72 is not divisible by 2 and 72 is not divisible by 3.
14 The negation of the statement “7 is greater than 8” is
A 7 is equal to 8.
B 7 is not greater than 8.
C 8 is less than 7.
D None of these.

Answer:7 is not greater than 8.
15 The negation of the statement “A circle is an ellipse” is
A An ellipse is a circle.
B An ellipse is not a circle.
C A circle is not an ellipse.
D A circle is an ellipse.

Answer:A circle is not an ellipse.
16 The connective in the statement “Earth revolves round the Sun and Moon is a satellite of Earth” is
A or
B Earth
C Sun
D and

Answer:and
17 The connective in the statement ‘2 + 7 > 9 or 2 + 7 < 9’ is
A and
B or
C >
D <

Answer:or
18 Which of the following is not statement?
A Smoking is injurious to health.
B 2 + 2 = 4.
C 2 is only the even prime number.
D Come here.

Answer:Come here.
19 Which of the following is 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.
20 Which of the following is the converse of the statement? “If Billu secure good marks, then he will get a bicycle.”
A If Billu will not get bicycle, then he will not secure good marks.
B If Billu will get a bicycle, then he will secure good marks.
C If Billu will get a bicycle, then he will not secure good marks.
D If Billu will not get a bicycle, then he will secure good marks.

Answer:If Billu will get a bicycle, then he will secure good marks.

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