Which of the following sentences are statements? Give reasons fo

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsLong Answer Type

Advertisement

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.
(vi) Answer this question.
(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.



(i) This sentence is false because the maximum number of days in a month can never exceed 31. Hence, it is a statement.
(ii) This sentence is neither true nor false because Mathematics can be easy for some people and can be difficult for some others. Hence, it is not a statement.
(iii) 
This sentence is true because the sum of 5 and 7 is 12 which is greater than 10.Hence, it is a statement.
(iv) This sentence is false as square of odd number is odd and square of even number is even. Hence, it is a statement.
(v) 
This sentence is sometimes true and sometimes false, e.g., squares and rhombus have equal sides, whereas rectangles and trapezium have unequal sides. Hence, it is not a statement.
(vi) This sentence is an order. Hence, it is not a statement.
(vii) This sentence is false as the product of (-1) and 8 is -8. Hence, it is a statement.
(viii) This sentence is always true. Hence, it is a statement.
(ix) It is not clear from the context which day is referred. Hence, it is not a statement.
(x) This sentence is true as every real number a can be written as a + i (0). Hence, it is a statement.


1070 Views

Advertisement

 Multiple Choice QuestionsShort Answer Type

2.

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

482 Views

 Multiple Choice QuestionsLong Answer Type

3.

Check whether the following sentences are statements. Give reason for your answer.

(i) 8 is less than 6.                                          (ii) Every set is a finite set. 

(iii) The sun is a star.                                      (iv) Mathematics is fun. 

(v) There is no rain without clouds,                   (vi) How far is Chennai from here? 

737 Views

4. Classify the following sentences as statements and non-statements.

(i) The sun rises in the east.                                 (ii) The month of March has 28 days.
(iii) square root of 3 is a rational number.                                (iv) How beautiful!
(v) Open the door.                                                (vi) Tomorrow is Friday.
(vii) All prime numbers are odd numbers.                (viii) 8 is greater than 10.
(ix) He is a doctor.                                                  (x) Every polygon has four sides.
444 Views

Advertisement
5.

Classify the following as statements and non-statements.

(i) Have you ever seen the Taj Mahal?                              (ii) Stop!

(iii) Every relation is a function.                                        (iv) 3 plus 3 is 9.

(v) Moon revolves around the Earth.                                 (vi) Switch on the light.

380 Views

 Multiple Choice QuestionsShort Answer Type

6. Write the negation of the following statement:
Chennai is the capital of Tamil Nadu.
243 Views

7. Write the negation of the following statement:
square root of 2 is not a complex number.
487 Views

8. Write the negation of the following statement:
All triangles are not equilateral triangle.
324 Views

Advertisement
9. Write the negation of the following statement:
The number 2 is greater than 7.
192 Views

10. Write the negation of the following statement:
Every natural number is an integer.
316 Views

Advertisement