Advertisements
Advertisements
प्रश्न
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
Advertisements
उत्तर
p: 100 is divisible by 3.
q: 100 is divisible by 11.
r: 100 is divisible by 5.
APPEARS IN
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.
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.
x2 + 5 | x | + 6 = 0 has no real roots.
Find out the sentence are statement and are not. Justify your answer.
Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
Ravish is honest.
All policemen are thieves.
Find the component statement of the compound statement:
All rational numbers are real and all real numbers are complex.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
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 the negation of statement:
For every x ϵ N, x + 3 < 10
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Write of the statement in the form "if p, then q".
The game is cancelled only if it is raining.
Write of the statement in the form "if p, then q".
It rains only if it is cold.
statement are true and false? In each case give a valid reason for saying so
q : The centre of a circle bisects each chord of the circle.
statement are true and false? In each case give a valid reason for saying so
r : Circle is a particular case of an ellipse.
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Write the negation of the following statements:
q: 9 is a multiple of 4.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.
Which of the following sentences are statements? Justify
Sky is red.
Which of the following sentences are statements? Justify
15 + 8 > 23
Which of the following sentences are statements? Justify
Every square is a rectangle.
Find the component statements of the following compound statements.
`sqrt(7)` is a rational number or an irrational number.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Write down the negation of following compound statements
All prime integers are either even or odd.
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
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
2b = a + c, if a, b and c are in A.P.
Which of the following is not a statement>
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “72 is divisible by 2 and 3” is ______.
