# NCERT Class 11-Math՚S: Chapter – 14 Mathematical Reasoning Part 14 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 31**:

The statement

“If is not even, then *x* is not even” is converse of the statement

(A) If is odd, then is even.

(B) If is not even, then is not even.

(C) If is even, then is even.

(D) If is odd, then is even.

**Answer: (B)**

**Question 32**:

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 is not in India.

**Answer: (A)**

**Question 33**:

Which of the following is the conditional ?

(A) is sufficient for .

(B) is necessary for .

(C) only if .

(D) If , then .

**Answer: (C)**

**Question 34**:

The negation of the statement “The product of and is 9” is

(A) It is false that the product of and is .

(B) The product of and is .

(C) The product of and is not .

(D) It is false that the product of and is not .

**Answer: (A)**

**Question 35**:

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: (C)**

**Question 36**:

Which of the following statement is a conjunction?

(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: (D)**

**Question 37**:

State whether the following sentences are statements are not:

(i) The angles opposite to equal sides of a triangle are equal.

(ii) The moon is a satellite of earth.

(iii) May God bless you!

(iv) Asia is a continent.

(v) How are you?

**Answer**:

(i) , (ii) and (iv) are statement; (iii) and (v) are not statements.