Which of the following is true about real numbers?

All real numbers are rational numbers

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Rational and irrational numbers together constitute real numbers

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All real numbers are irrational numbers

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Some rational numbers are real numbers

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Solution

The correct option is B
Rational and irrational numbers together constitute real numbers

Rational and irrational numbers together constitute real numbers.

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Similar questions

State, in each case, whether true or false.

$(i) \sqrt{2} + \sqrt{3} = \sqrt{5}$

$(i i) 2 \sqrt{4} + 2 = 6$

$(i i i) 3 \sqrt{7} - 2 \sqrt{7} = \sqrt{7}$

$(i v) \frac{2}{7}$ is an irrational number.

$(v) \frac{5}{11}$ is a rational number.

(vi) All rational numbers are real numbers.

(vii) All real numbers are rational numbers.

(viii) Some real numbers are rational numbers.

Which of the following is a true statement ?

(a) The sum of two irrational numbers is an irrational number.

(b) The product of two irrational numbers is an irrational number.

(d) Every real number is either rational or irrational.

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