The question below is followed by two statements numbered I and II. Decide whether the data given in the statements are sufficient to answer the question.
How many doctors are practising in this town?
I. There is one doctor for every seven hundred residents.
II. The town has only 16 wards, and each ward has as many doctors as there are wards in the town.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Statement II alone is sufficient, but statement I alone is not sufficient.
In data sufficiency, a statement is sufficient only if it leads to one definite answer; each statement is first tried alone, then the two together.
Statement I alone (one doctor per 700 residents):
Number of doctors \(=\text{residents}\div700\), but the number of residents is not given: not sufficient
Statement II alone (16 wards, each with as many doctors as there are wards):
Each ward has 16 doctors
Doctors in the town \(=16\times16=256\): sufficient