Assertion Reasoning Quiz

Assertion (A): For a fixed journey, the situation cannot be modelled as \(50:2::75:x\) for speed and time.
Reason (R): A higher speed makes the same journey take more time.

Assertion (A): At 90 km per 150 minutes, a car covers 144 km in 4 hours.
Reason (R): Four hours equals 240 minutes.

Assertion (A): When ₹4,500 is shared in the ratio \(2:3\), the shares are ₹1,800 and ₹2,700.
Reason (R): The five equal groups are worth ₹900 each.

Assertion (A): The simplest form of \(12:18\) is \(2:3\).
Reason (R): Dividing both terms of \(12:18\) by 6 gives \(2:3\).

Assertion (A): A mixture of 20 mL decoction and 30 mL milk is stronger than a mixture of 15 mL decoction and 35 mL milk.
Reason (R): The two decoction-to-milk ratios are equal.

Assertion (A): Adding the same positive number to both terms of a ratio always gives a proportional ratio.
Reason (R): For example, \(2:3\) becomes \(4:5\) after adding 2, and \(2:3\ne4:5\).