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प्रश्न
Find out the sentence are statement and are not. Justify your answer.
The cat pussy is black.
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उत्तर
The pussy cat is black.
It is a declarative sentence, which may be true or false but cannot be both at the same time, so it is a statement.
संबंधित प्रश्न
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
It rained on July 4, 2005.
All policemen are thieves.
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 sky is blue and the grass is green.
Write the component statement of the compound statement and check whether the compound statement is true or false:
Square of an integer is positive or negative.i
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".
It never rains when 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
“Ram and Rahim are friends”
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
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:
Ramesh will get dessert only if he eats his dinner.
Rewrite the following statements in the form of conditional statements:
A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
Which of the following sentences are statements? Justify
A triangle has three sides.
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
Sum of opposite angles of a cyclic quadrilateral is 180°.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
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
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Write down the negation of following compound statements
35 is a prime number or a composite number
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.
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
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?
Which of the following is not a statement>
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
The negation of the statement “101 is not a multiple of 3” is ______.
Which of the following is not a negation of “A natural number is greater than zero”?
