Question

If P: Every fraction is a rational number and Q: Every rational number is a fraction, then which if the following options hold-

• A. Both P And Q Are True
• B. Both P And Q Are False
• C. P Is True And Q Is False
• D. P Is False And Q Is True

Answer 1

The correct option is D

P Is False And Q Is True

Rational Numbers:

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

Therefore, all rational numbers can be written as fractions.

But some fractions are not rational numbers.so P is false and Q is true

Examples of rational numbers are $\frac{3}{4},\frac{6}{7},$etc. and examples of irrational numbers are $\sqrt{2},\sqrt{3},\sqrt{5},$etc.

Hence option (D) is correct