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UPTET Paper 2 Math and Science Model Test 2

Section: Mathematics and Science

Question : 126 of 150

Marks: +1, -0

A non-terminating but recurring decimal is:

Solution:

Concept:

A rational number can be expressed as

\frac{p}{q}

where

p

and

q

are integers and

q \neq 0

Explanation:

A non‑terminating but recurring decimal has digits that repeat forever after the decimal point.

Examples:

0.\overline{5}

0.\overline{17}

0.1\overline{5}

Such decimals can always be converted into the form

\frac{p}{q}

For instance,

0.\overline{5} = \frac{5}{9}

and

0.\overline{17} = \frac{17}{99}

Therefore, every non‑terminating recurring decimal is a rational number.

Answer:

D. A rational number

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