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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
MCQ
Assertion (A): Between every two rational numbers there exists a unique rational number.
Reason (R): If $x$ and $y$ be two rational numbers such that $x<y$ then $\frac{1}{2}(x+y)$ is a rational number between $x$ and $y$.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.
✓

Answer

Correct option: D.
Assertion (A) is false but Reason (R) is true.
(D) Assertion (A) is false but Reason (R) is true.
Between every two rational numbers there exist infinitely many rational numbers. So. A is false.
Clearly. R is true.

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