KC Sinha Mathematics Solution Class 11 Chapter 30 Mathematical Reasoning Exercise 30.1

 Exercise 30.1

Page no 30.5

Type 1

Question 1

1. Examine which of the following sentences are statements and which are not :
(i) The sum of interior angles of a triangle is 180 degrees.
(ii) Every square is a rectangle.
(iii) A triangle has four sides.
(iv) Open the door.
(v) New Delhi is in India.
(vi) May God bless you!
(vii) Delhi is the capital of India.
(viii) Do your home work.
(ix) The sun is a star.
(x) $\sqrt{3}$ is an irrational number.
(xi) Asia is a continent.
(xii) Give me a glass of water.
(xiii) The number 12 has two prime factors.
(xiv) Alas I have failed.
(xv) Where are you going?
(xvi) Roses are red.
(xvii) The earth is a star.
(xviii) Three plus seven is eleven.
(xix) May you live long !
(xx) Listen to me Rajeev !
(xxi) The number of ways of seating two persons in two chairs out of $n$ persons is " $p_{2}$.
(xxii) There are only finite number of rational numbers.
(xxiii) Sky is blue.
(xxiv) Two plus two is four.

Type 2

Question 2

State the truth value of each of the following statements :
(i) Every square is a rectangle.
(ii) All integers are natural numbers.
(iii) A quadratic equation has always real roots,
(iv) There are only finite number of rational numbers.
(v) Zero is a complex number.
(vi) Sky is blue.
(vii) 17 is a prime number.
(viii) $5+7<10$
(ix) A real number is either rational or irrational.
(x) Taj Mahal is in Delhi.










































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