हिंदी

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

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • A natural number is not greater than zero

  • It is false that a natural number is greater than zero

  • It is false that a natural number is not greater than zero

  • None of the above

MCQ
Advertisements

उत्तर

It is false that a natural number is not greater than zero.

Explanation:

The negation of the given statement is false.

i.e. It is false that a natural number is not greater than zero.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 35 | पृष्ठ २६९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.


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

p: If x is an integer and x2 is even, then x is also even.


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.

 Every set is a finite set.


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

The product of (−1) and 8 is 8.

 

Write the negation of the statement:

 The sun is cold.

 

Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.


Write the negation of the statement:

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

 


Find the component statement of the compound statement:

The earth is round or the sun is cold.


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.


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

 Whenever it rains it is cold.


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

 It never rains when it is cold.

 

 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 

“Ram and Rahim are friends”


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

It is raining or the sun is shining.


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


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.


Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.


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


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


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

Where is your bag?


Which of the following sentences are statements? Justify

Every square is a rectangle.


Translate the following statements into symbolic form

A number is either 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

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 natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.


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.


Which of the following is the conditional p → q?


State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×