Assertion Reasoning Quiz

Assertion (A): \(0\div\frac{5}{7}=0\).
Reason (R): Zero has a reciprocal, and its reciprocal is zero.

Assertion (A): A square of side \(\frac{5}{6}\) m has area \(\frac{25}{36}\) sq m.
Reason (R): \(2\frac{1}{4}\div\frac{3}{8}=6\).

Assertion (A): Taking \(\frac{2}{3}\) of a batch, enlarging that amount by a factor of \(1\frac{1}{2}\), and then sharing it equally among 4 people gives each person \(\frac{1}{4}\) of the original batch.
Reason (R): \(\frac{2}{3}\times\frac{3}{2}=1\), and \(1\div4=\frac{1}{4}\).

Assertion (A): \(\frac{2}{3}\) of \(\frac{3}{4}\) litre is \(\frac{1}{2}\) litre.
Reason (R): Eight metres of ribbon makes 32 pieces of length \(\frac{1}{4}\) m.

Assertion (A): \(\frac{3}{7}\div\frac{5}{4}\) is greater than \(\frac{3}{7}\).
Reason (R): \(\frac{3}{7}\div\frac{5}{4}=\frac{3}{7}\times\frac{4}{5}=\frac{12}{35}<\frac{15}{35}\).

Assertion (A): A tank that is \(\frac{999}{1000}\) full is scaled by a factor of \(\frac{1001}{999}\); the resulting amount is \(\frac{1001}{1000}\) of the tank.
Reason (R): \(\frac{13}{12}\times\frac{25}{24}\) is greater than both \(\frac{13}{12}\) and \(\frac{25}{24}\).