Question

Complete the following sentences:
Every point on the number line corresponds to a $\mathbf{\left(}\mathbf{P}\mathbf{\right)}$ number which may be either $\mathbf{\left(}\mathbf{Q}\mathbf{\right)}$ or $\mathbf{\left(}\mathbf{R}\mathbf{\right)}$.

• A. (P) irrational, (Q) Real, (R) rational
• B. (P) rational, (Q) real, (R) irrational
• C. (P) real, (Q) rational, (R) irrational
• D. (P) rational, (Q) irrational, (R) real

Answer 1

The correct option is C

(P) real, (Q) rational, (R) irrational

Explanation for the correct answer:

We know that every point on the number line is real. Further, all the real numbers are either rational or irrational.
Hence, the three blanks in the given sentence are: Real, rational, irrational
So, the complete sentence will be: Every point on the number line corresponds to a real number which may be either rational or irrational.

Hence, the correct option is C) (P) real, (Q) rational, (R) irrational