Study the following statements. Statement - 1: Rational numbers a… - Vidyadip

MCQ

Study the following statements. Statement $- 1:$ Rational numbers are always closed under division. Statement $- 2:$ Division by zero is not defined. Which of the following options hold$?$

A
Both statement $-1$ and statement $-2$ are true.
B
Statement $-1$ is true but statement $-2$ is false.
✓
Statement $-1$ is false but statement $-2$ is true.
D
Both statement $-1$ and statement $-2$ are false.

✓

Answer

Correct option: C.

Statement $-1$ is false but statement $-2$ is true.

Statement - 1: Rational number can even be simply integers which can be further represented as $\frac{\text{p}}{\text{q}}$ form. So statement $1$ is false
Statement - 2: Any number divided by $0$ is not defined. So statement $2$ is true.

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