हिंदी

Check the Validity of the Statement:(I) P : 100 is a Multiple of 4 and 5.

Advertisements
Advertisements

प्रश्न

Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.

Advertisements

उत्तर

 p: 100 is a multiple of 4 and 5.
Since 100 is a multiple of 4 and 5, the statement is true.
Hence, it is a valid statement.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 31: Mathematical reasoning - Exercise 31.6 [पृष्ठ २८]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 31 Mathematical reasoning
Exercise 31.6 | Q 1.1 | पृष्ठ २८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find out the sentence are statement and are not. Justify your answer.

 Every set is a finite set.


Find out the sentence are statement and are not. Justify your answer.

Every rhombus is a square.


Find out the sentence are statement and are not. Justify your answer.

 The real number x is less than 2.


Find out the sentence are statement and are not. Justify your answer.

 Mathematics is difficult.


Find out the sentence are statement and are not. Justify your answer.

The product of (−1) and 8 is 8.

 

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


All birds sing.


 Some even integers are prime.


Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number is an irrational number.


Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 

For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To entry a country, you need a passport or a voter registration card.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”


Which of the following statements are compound statements 

“Ram and Rahim are friends”


Identify the component statements and the connective in the following compound statements.

It is raining or the sun is shining.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


Rewrite the following statements in the form of conditional statements:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.


Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Where is your bag?


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


Write the component statements of the following compound statements and check whether the compound statement is true or false.

All living things have two eyes and two legs.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

There exists a statement in above statements which is not true.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


Which of the following is a statement?


Which of the following is not a statement>


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


Which of the following is not a negation of “A natural number is greater than zero”?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×