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? A) More than half of the pregnant women received medical care at least once from a doctor. B) Less than half of the pregnant women received medical care at least once from a doctor. C) More than half of the pregnant women received medical care at most once from a doctor. D) Less than half of the pregnant women received medical care at most once from a doctor.

Official answer: A) More than half of the pregnant women received medical care at least once from a doctor.. Explanation: Let the total number of pregnant women be 100. 1. The percentage of pregnant women who received medical care at least once before giving birth is 90\% (i.e., 90 women). 2. Among these women, 60\% received care from doctors: Number of women receiving care from doctors at least once = 60\% of 90 = 0.60 × 90 = 54 3. 54 out of 100 total pregnant women represents 54\%, which is strictly greater than half (50\%). Therefore, statement (A) ("More than half of the pregnant women received medical care at least once from a doctor") is guaranteed to be true.

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

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

Quantitative Aptitude

GATE CSE 2023 · Q4

MCQ1 markEasy

Time00:00

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?

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Solution

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Official answer: A) More than half of the pregnant women received medical care at least once from a doctor.

Quantitative Aptitude

Let the total number of pregnant women be $100$ .

The percentage of pregnant women who received medical care at least once before giving birth is $90\%$ (i.e., $90$ women).
Among these women, $60\%$ received care from doctors:
$\text{Number of women receiving care from doctors at least once} = 60\% \text{ of } 90 = 0.60 \times 90 = 54$
$54$ out of $100$ total pregnant women represents $54\%$ , which is strictly greater than half ( $50\%$ ).

Therefore, statement (A) ("More than half of the pregnant women received medical care at least once from a doctor") is guaranteed to be true.

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This Quantitative Aptitude previous year question is Q4 of the GATE CSE 2023 paper. Find more GATE CSE PYQs on Quantitative Aptitude in General Aptitude, or browse all GATE CSE PYQs.

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Quantitative Aptitude has 53 GATE CSE PYQs across 13 papers from 2011 to 2026. 26 of them are 1-mark MCQs like this one, and GATE CSE 2023 has 4.

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