हिंदी

Find the Component Statement of the Compound Statement:25 is a Multiple of 5 and 8. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 
Advertisements

उत्तर

The component statements of the given compound statement are:
1) 25 is a multiple of 5.
2) 25 is a multiple of 8. 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 31: Mathematical reasoning - Exercise 31.3 [पृष्ठ १४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 31 Mathematical reasoning
Exercise 31.3 | Q 1.4 | पृष्ठ १४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the following statement is true by the method of contrapositive.

pIf x is an integer and x2 is even, then x is also even.


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

 Are all circles round?


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

 Mathematics is difficult.


Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.


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

 Students can take Hindi or Sanskrit as their third language.


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 

 statement are true and false? In each case give a valid reason for saying so

r : Circle is a particular case of an ellipse.


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.


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

2 is a positive number or a negative number.


Write negation of the statement
“Everyone who lives in India is an Indian”


Write the negation of the following statements:
r: A triangle has four sides.


Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

Every square is a rectangle.


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


Translate the following statements into symbolic form

Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.


Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.


Write down the negation of following compound statements

35 is a prime number or a composite number


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


Which of the following is a statement?


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


The negation of the statement “101 is not a multiple of 3” is ______.


The negation of the statement “The product of 3 and 4 is 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×