Discussion
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 ___
Answer: B
The number with both diabetes and high BP is 15.
Everyone with high cholesterol also has high BP, and no one has both cholesterol and diabetes. So the 45 high-BP patients split into three groups:
- high BP only: 20
- high BP with high cholesterol (all 10 cholesterol patients): 10
- high BP with diabetes: x
\[ 20 + 10 + x = 45 \Rightarrow x = 15 \]
The total of 75 then leaves 30 patients with diabetes only, which is consistent. 20 is the high-BP-only count, 10 the cholesterol count, and 0 would leave the BP total at 30.
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development