In a population, patients who have high cholesterol also have high…
2026
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore,
the total number of patients with at least one of these conditions is 75,
the number of patients with high cholesterol is 10,
the number of patients with high BP is 45, and
the number of patients with only high BP and no other conditions is 20.
Then the number of patients who have both diabetes and high BP is _______
Answer: B. 15 — Let x be the number of patients who have both diabetes and high BP. Since every patient with high cholesterol also has high BP, and no patient has both high…
- A.
0
- B.
15
- C.
20
- D.
10
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Correct answer: B
Let x be the number of patients who have both diabetes and high BP. Since every patient with high cholesterol also has high BP, and no patient has both high cholesterol and diabetes, the high BP group is partitioned into: only high BP, high cholesterol, and diabetes with high BP. Therefore, 45 = 20 + 10 + x, so x = 15.