मराठी

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

Let p: r ∧ s

Where r: “100 is a multiple of 4” is true

s: “100 is a multiple of 5” is true

Hence p is true.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Solved Examples [पृष्ठ २६०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 14 Mathematical Reasoning
Solved Examples | Q 15.(i) | पृष्ठ २६०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Find out the following  sentence is a statement and is not. Justify your answer.

Listen to me, Ravi !


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

Two non-empty sets have always a non-empty intersection.


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

Is the earth round?


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.

The product of (−1) and 8 is 8.

 

All policemen are thieves.

 

Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

 


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


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 apply for a driving licence, you should have a ration card or a passport.

 

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

All rational numbers are real and all real numbers are not complex.


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

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.


Write the negation of  statement:

 There exists 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". 

 The game is cancelled only if it is raining.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


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

r : Circle is a particular case of an ellipse.


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

 s : If x and y are integers such that x > y, then − x < − y.


Which of the following statements are compound statements 

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


Write the negation of the following statements:
q: 9 is a multiple of 4.


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


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.


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

sin2x + cos2x = 0


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Rewrite the following statements in the form of conditional statements

You will fail, if you will not study.


Rewrite the following statements in the form of conditional statements

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


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


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×