Advertisements
Advertisements
प्रश्न
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
विकल्प
Rajesh did not live in Bangalore or Rajni lives in Bangalore
Rajesh lives in Bangalore and Rajni did not live in Bangalore
Rajesh did not live in Bangalore and Rajni did not live in Bangalore
Rajesh did not live in Bangalore or Rajni did not live in Bangalore
Advertisements
उत्तर
The negation of the statement “Rajesh or Rajni lived in Bangalore” is rajesh did not live in Bangalore and Rajni did not live in Bangalore.
Explanation:
Let p: Rajesh or Rajni lives in Bengaluru
And q: Rajesh lived in Bengaluru
r: Rajni lived in Bengaluru
~ q: Rajesh did not live in Bengaluru
~ r: Rajni did not live in Bengaluru
∴ ~ (q ∨ r) = (~ q ∧ ~ r): Rajesh did not live in Bengaluru and Rajni did not live in Bengaluru.
APPEARS IN
संबंधित प्रश्न
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 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.
Are all circles round?
Find out the sentence are statement and are not. Justify your answer.
All triangles have three sides.
Find out the sentence are statement and are not. Justify your answer.
This sentence is a statement.
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Write the negation of the statement:
It rained on July 4, 2005.
Write the negation of the statement:
Ravish is honest.
Write the negation of the statement:
The sun is cold.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
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.
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:
The sand heats up quickly in the sun and does not cool down fast at night.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Negate of the statement :
There exists a number which is equal to its square.
Write of the statement in the form "if p, then q".
Whenever it rains it is cold.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
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:
q: 9 is a multiple of 4.
Write the negation of the following statements:
r: A triangle has four sides.
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:
Mohan will be a good student if he studies hard.
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.
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
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.
24 is a multiple of 4 and 6.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
2 is an even number and a prime number.
Translate the following statements into symbolic form
2, 3 and 6 are factors of 12
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.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
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 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.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
The negation of the statement “72 is divisible by 2 and 3” is ______.
