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प्रश्न
Find the component statements of the following compound statements and check whether they are true or false.
100 is divisible by 3, 11 and 5.
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उत्तर
The component statements are as follows.
p: 100 is divisible by 3.
q: 100 is divisible by 11.
r: 100 is divisible by 5.
Here, the statements, p and q, are false and statement r is true
संबंधित प्रश्न
Write the negation of the following statements:
`sqrt2` is not a complex number.
Write the negation of the following statements:
All triangles are not equilateral triangle.
Write the negation of the following statements:
The number 2 is greater than 7.
Write the negation of the following statements:
Every natural number is an integer.
Are the following pairs of statements negations of each other?
The number x is not a rational number.
The number x is not an irrational number.
Are the following pairs of statements negations of each other?
The number x is a rational number.
The number x is an irrational number.\
Find the component statements of the following compound statements and check whether they are true or false.
Number 3 is prime or it is odd.
Find the component statements of the following compound statements and check whether they are true or false.
All integers are positive or negative.
Write the negation of the following statements:
p: For every positive real number x, the number x – 1 is also positive.
Write the negation of the following statements:
q: All cats scratch.
Write the negation of the following statements:
r: For every real number x, either x > 1 or x < 1.
Write the negation of the following statements:
s: There exists a number x such that 0 < x < 1.
Prove by direct method that for any integer ‘n’, n3 – n is always even.
Prove by direct method that for any real numbers x, y if x = y, then x2 = y2.
