मराठी

Check the validity of the statements:s: 60 is a multiple of 3 or 5.

Advertisements
Advertisements

प्रश्न

Check the validity of the statements:
s: 60 is a multiple of 3 or 5.

बेरीज
Advertisements

उत्तर

Let q: r V s, where

r: “60 is a multiple of 3”, is true.

s: “60 is a multiple of 5”, is true.

Hence q 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.(ii) | पृष्ठ २६०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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

All real numbers are complex numbers.


Write the negation of the statement:
Banglore is the capital of Karnataka.


Write the negation of the statement:

 It rained on July 4, 2005.


 Both the diagonals of a rectangle have the same length.


All policemen are thieves.

 

Are the pair of statement are negation of each other:

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


Find the component statement of the compound statement:
 The sky is blue and the grass is green.


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.


Negate  statement:
 All the students completed their homework.


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

 It rains only if it is cold.


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 

“2 is both an even number and a prime number”


Write the negation of the following statements:
p: All triangles are equilateral triangles.


Write the negation of the following statements:
x + y = y + x and 29 is a prime number.


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


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

Every set is an infinite set.


Which of the following sentences are statements? Justify

15 + 8 > 23


Which of the following sentences are statements? Justify

Every square is a rectangle.


Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.


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.


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.

57 is divisible by 2 or 3.


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


Write down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Rewrite the following statements in the form of conditional statements

The square of an odd number is odd.


Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.


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.

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


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


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×