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प्रश्न
Find out the sentence are statement and are not. Justify your answer.
Every rhombus is a square.
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उत्तर
Every rhombus is a square.
It is not true that every rhombus is a square because some rhombi may have all angles other than 90. So, it is a false statement.
संबंधित प्रश्न
Find out the following sentence is a statement and is not. Justify your answer.
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This sentence is a statement.
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Mathematics is difficult.
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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.
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q : For every real number x, either x > 1 or x < 1.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
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The sky is blue and the grass is green.
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All rational numbers are real and all real numbers are complex.
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Delhi is in India and 2 + 2 = 5.
Write of the statement in the form "if p, then q".
It is necessary to have a passport to log on to the server.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
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x + y = y + x and 29 is a prime number.
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When you sing, my ears hurt.
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A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
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s: 60 is a multiple of 3 or 5.
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
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Two lines in a plane either intersect at one point or they are parallel.
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57 is divisible by 2 or 3.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
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Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Write down the negation of following compound statements
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Write down the negation of following compound statements
6 is divisible by 2 and 3.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
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 equilateral.
Identify the Quantifiers in the following statements.
For all real numbers x with x > 3, x 2 is greater than 9.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
Check the validity of the following statement.
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