Question

1000 patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines — A, B, C and D. These patients were first randomly assigned into two groups of equal size, called treatment group and control group. The patients in the control group were not treated with any of these medicines; instead they were given a dummy medicine, called placebo, containing only sugar and starch. The following information is known about the patients in the treatment group.
a. A total of 250 patients were treated with type A medicine and a total of 210 patients were treated with type C medicine.
b. 25 patients were treated with type A medicine only. 20 patients were treated with type C medicine only. 10 patients were treated with type D medicine only.
c. 35 patients were treated with type A and type D medicines only. 20 patients were treated with type A and type B medicines only. 30 patients were treated with type A and type C medicines only. 20 patients were treated with type C and type D medicines only.
d. 100 patients were treated with exactly three types of medicines.
e. 40 patients were treated with medicines of types A, B and C, but not with medicines of type D. 20 patients were treated with medicines of types A, C and D, but not with medicines of type B.
f. 50 patients were given all the four types of medicines. 75 patients were treated with exactly one type of medicine.
How many patients were treated with medicine type B? [This Question was asked as TITA]

• A. 120
• B. 240
• C. 340
• D. 220

Answer 1

The Correct Option is C

340 patients were treated with medicine type B

Answer 2

Only 500 of the 1,000 patients have been considered for the treatment. This is our example set. This group of 500 people has thus received the four drugs A, B, C, and D, with the remaining 500 receiving the placebo. The four-set Venn diagram that follows can be created using the information that has been provided:

We can tackle for the quantity of patients who were managed the medications A, B and D barring C by placing in the qualities for set A. 250 minus (25, 20, 30, 40, 20, 50, and 35) equals 30. In view of condition (c), we realize that 100 patients were treated with precisely three sorts of meds. In this manner, we can fill the space for the quantity of patients who were regulated just B, C and D barring A by 100 - (40+20+30) = 10. In a similar vein, we are aware, as indicated by condition (f), that the number of candidates who received only dig B is 75 - (25+20+10) = 20. 210 - (30+20+40+50+10+20+20) = 20 allows us to easily determine the number of people who received only drugs B and C. We can fill in the above values to acquire the accompanying chart

All of the values ought to add up to 500. We get x = 150 by solving for "x," which is the number of people who were only given drugs B and D. The final illustration would look like this:

Based on the above, the number of patients who were treated with medicine type B is equal to 340.