At a hospital, a certain number of patients are waiting for doctor consultation. 40 patients have diabetes and 30 patients have high blood pressure. 22 patients have both diabetes as well as high blood pressure, while 17 patients have neither diabetes nor high blood pressure. What is the total number of patients waiting at the hospital?

At a hospital, a certain number of patients are waiting for doctor consultation. 40 patients have diabetes and 30 patients have high blood pressure. 22 patients have both diabetes as well as high blood pressure, while 17 patients have neither diabetes nor high blood pressure. What is the total number of patients waiting at the hospital? Correct Answer 65

According to the given information,

40 patients have diabetes and 30 patients have high blood pressure

22 patients have both diabetes as well as high blood pressure

17 patients have neither diabetes nor high blood pressure

Number of patients who only have diabetes = 40 – 22 = 18

Number of patients who only have high blood pressure = 30 – 22 = 8

Drawing the Venn diagram,

[ alt="F1 R.R 5.6.20 Pallavi D6" src="//storage.googleapis.com/tb-img/production/20/06/F1_R.R_5.6.20_Pallavi_D6.png" style="width: 190px; height: 143px;">

Total number of patients waiting at the hospital = 18 + 22 + 8 + 17

= 65

Hence, “65” is the correct answer.

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