GATE IN 2026 | GA | Question: 7

Question

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,

1. the total number of patients with at least one of these conditions is $75$,
2. the number of patients with high cholesterol is $10$,
3. the number of patients with high BP is $45$, and
4. 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 $\_\_\_\_$

• A. $0$
• B. $15$
• C. $20$
• D. $10$