मराठी

Check the validity of the following statement.q: 131 is a multiple of 3 or 11 - Mathematics

Advertisements
Advertisements

प्रश्न

Check the validity of the following statement.
q: 131 is a multiple of 3 or 11

बेरीज
Advertisements

उत्तर

Given that q: 131 is a multiple of 3 or 11.

Let p: 131 is a multiple of 3.

And r: 131 is a multiple of 11.

Here p is not true and r is also not true i.e., false.

So, p ∨ r is false.

Hence, q is not valid.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 13.(ii) | पृष्ठ २६५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.


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

The cat pussy is black.


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

 x2 + 5 | x | + 6 = 0 has no real roots.


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

There are 35 days in a month.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The earth is round.


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.


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


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

A lady gives birth to a baby boy or a baby girl.


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


Write of the statement in the form "if p, then q". 

You can access the website only if you pay a subscription fee.

 


Write of the statement in the form "if p, then q". 

 It never rains when it is cold.

 

Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


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

q : The centre of a circle bisects each chord of the circle.


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.

2 is a positive number or a negative number.


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


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.


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


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

Where is your bag?


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Find the component statements of the following compound statements.

0 is less than every positive integer and every negative integer.


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


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

24 is a multiple of 4 and 6.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.


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 even prime number other than 2.


Which of the following is not a statement>


The negation of the statement “7 is greater than 8” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×