GATE CS 2023 Q.4: Analytical and Logical Reasoning

A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers.

Given this information, which one of the following statements can be inferred with certainty?

More than half of the pregnant women received medical care at least once from a doctor.

Less than half of the pregnant women received medical care at least once from a doctor.

More than half of the pregnant women received medical care at most once from a doctor.

Less than half of the pregnant women received medical care at most once from a doctor.

Official answer and solution

Official answer: A
From: Official GATE 2023 answer key

Solution

Calculate the exact percentage of all pregnant women who received care from doctors.

Let $W$ be the total population of pregnant women.

The fraction of women receiving medical care at least once is $0.90 W$ .
Of these women, 60% received care from doctors: $0.60 \times 0.90 W = 0.54 W = 54\% W$ .

Since $54\% > 50\%$ , more than half of all pregnant women received medical care at least once from a doctor. This statement is certain and directly supported by the data.

Final answer

Option (A)

Common trap

Confusing 'at least once' with 'at most once', which is not addressed by the survey data.

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper: GATE 2023 Computer Science and Information Technology (CS)
Question: 4 of 65
Section: General Aptitude

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