GATE 2026 MA – Question 8
Patients with high cholesterol also have high BP. Some high-BP patients have diabetes, but nobody has both cholesterol and diabetes. There are 75 patients with at least one condition, 10 with cholesterol, 45 with BP, and 20 with BP alone. How many have both diabetes and BP?
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Correct answer: (B) 15
Explanation
Within the BP set, the cholesterol subset of 10 and diabetes subset do not overlap. Removing those with BP alone gives diabetes-and-BP count = 45−20−10 = **15, B**. The overall total is not needed for this intersection.
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