NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1

# NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1

## NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1

NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1 are the part of NCERT Solutions for Class 11 Maths. Here you can find the NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Ex 14.1.

### Ex 14.1 Class 11 Maths Question 1.

Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vii) The product of (-1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.

Solution:
(i) The given sentence is false, because the maximum number of days in a month can never exceed 31. Therefore, this sentence is a statement.
(ii) The given sentence is subjective in the sense that for those who hate mathematics, it is difficult but for others it may not be difficult. This means that the given sentence is not always true. Hence, this sentence is not a statement.
(iii) The given sentence is true as the sum of 5 and 7 is greater than 10. Hence, the given sentence is a statement.
(iv) The given sentence is subjective in the sense that it depends on the number that is being squared. Hence, this sentence is not a statement.
(v) The given sentence is sometimes true and sometimes false since sides in squares and rhombuses have equal length whereas sides in rectangles and trapeziums have unequal length. Hence, this sentence is not a statement.
(vi) The given sentence is an order and so, it is not a statement.
(vii) The given sentence is false as the product of (-1) and 8 is -8. So, the given sentence is a statement.
(viii) The given sentence is true and therefore, this sentence is a statement.
(ix) It is not clear from the context which day is referred. Therefore, the given sentence is not a statement.
(x) All real numbers can be written in the form of complex numbers. So, this sentence is true. Hence, this sentence is a statement.

### Ex 14.1 Class 11 Maths Question 2.

Give three examples of sentences which are not statements. Give reasons for the answers.

Solution:
(i) Who are you?
The above sentence is an interrogative sentence. Hence, it is not a statement.
(ii) May God bless you!
The above sentence is an exclamatory sentence. Hence, it is not a statement.
(iii) How are you?
The above sentence is an interrogative sentence. Hence, it is not a statement.

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