हिंदी

Write of the Statement in the Form "If P, Then Q". the Game is Cancelled Only If It is Raining.

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प्रश्न

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

 The game is cancelled only if it is raining.

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उत्तर

 If it rains, only then the game is cancelled.

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अध्याय 31: Mathematical reasoning - Exercise 31.5 [पृष्ठ २१]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 31 Mathematical reasoning
Exercise 31.5 | Q 1.5 | पृष्ठ २१

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संबंधित प्रश्न

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

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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.


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


Write the negation of the statement:

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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.


Negate  statement:
 All the students completed their homework.


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

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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.


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Which of the following statements are compound statements 

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


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Write the negation of the following statements:
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Ramesh will get dessert only if he eats his dinner.


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Which of the following sentences are statements? Justify

Every square is a rectangle.


Which of the following sentences are statements? Justify

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Plants use sunlight, water and carbon dioxide for photosynthesis.


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


Write down the negation of following compound statements

All rational numbers are real and complex.


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


Write down the negation of following compound statements

All prime integers are either even or odd.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


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.

There exists a triangle which is not an isosceles triangle.


Identify the Quantifiers in the following statements.

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


Which of the following is a statement?


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The negation of the statement “72 is divisible by 2 and 3” is ______.


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


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