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Write five rational numbers which are smaller than $2$ .

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1, \frac{1}{2}, 0, - 1, - \frac{1}{2}

0, 1, 1.414, \sqrt{3}, - 1

0, 1, \sqrt{2}, \sqrt{3}, - 1

0, 1, 1.732, \sqrt{2}, - 1

answer is A.

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Detailed Solution

It is given a number 2.
Five rational numbers less than

2

may be taken

1, \frac{1}{2}, 0, - 1, - \frac{1}{2}

.
Since these are the only numbers that can be expressed in the form

\frac{p}{q},

where q

\neq 0

, and other options contain irrational numbers .
In the second option there is

\sqrt{3}

which is an irrational number.
In the third option there are

\sqrt{2}, \sqrt{3}

which are irrational.
In the fourth option there is

\sqrt{2}

which is an irrational number.
So these options are canceled out.
So the correct option is 1.

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