Question

Which of the following statements are true?

1. All Rational Numbers are Irrational Numbers
II. All Integers are Natural Numbers
III. All Rational & Irrational Numbers are Real Numbers
IV. Rational Numbers are not Irrational Numbers, vice versa
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A. Statements I & ||
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B. Statements III & IV
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C. Statements IV & I
D. Statements II & III

Answer 1

The correct option for the given question is B) statements 3 & 4.

Step by Step Explanation:

1. All rational numbers are irrational numbers - These statement is false .The rational numbers are the numbers which are written in Ratio The number which has quotient or fraction is a rational numbers . While the irrational numbers are the numbers are the numbers which are not rational because it cannot be written as ratio of integers .
2. All integers are Natural numbers - These statement is false . Integers can be negative while natural numbers start from 1,2... while they all are positive so all integers are not natural numbers. but all natural numbers are integers .
3. All Rational & Irrational Numbers are Real Numbers - These statement is true as real numbers are the numbers which are represented on the number line . While both rational and irrational numbers are real numbers
4. Rational Numbers are not Irrational Numbers, vice versa - These statement is true . Referring the 1st point we can say that this statement is true. Irrational numbers are the numbers which are not rational and vice versa.