73. A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABCD is a quadrilateral such that AC bisects \angle A and \angle C. Is AB/DC equal to AD/BC ? Statement-I : AB is parallel to DC Statement-II : AD is parallel to BC

  1. A. The Question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
  2. B. The Question can be answered by using either Statement alone
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
  4. D. The Question can be answered even without using both the Statements ✓

Correct Answer: D. The Question can be answered even without using both the Statements

Explanation

Since AC bisects \angle A and \angle C, \triangle ABC \cong \triangle ADC (by ASA), implying AB=AD and BC=DC. Therefore, AB/DC = AD/BC simplifies to AB/BC = AB/BC, which is always true. The question can be answered strictly from the given stem.

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