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Q.

What is the rational number, which does not lie, between the rational numbers, $- \frac{2}{3}$ and $- \frac{1}{5}$ ?

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a

- \frac{3}{10}

b

\frac{3}{10}

c

- \frac{1}{4}

d

- \frac{7}{20}

answer is B.

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Detailed Solution

The given rational numbers are

- \frac{2}{3}

and

- \frac{1}{5}

.
The given rational numbers

- \frac{2}{3}

and

- \frac{1}{5}

are negative rational numbers because the numerator and denominator of both the rational numbers are of opposite signs that is the numerator of both the integers is negative while the denominators are positive.
Therefore, none of the positive rational number can lie between the given negative rational numbers

- \frac{2}{3}

and

- \frac{1}{5}

.
Hence,

\frac{3}{10}

does not lie between the rational numbers

- \frac{2}{3}

and

- \frac{1}{5}

.
Therefore, option 2 is correct.

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