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.
The number of patients who were treated with medicine types B, C and D, but not type A was: [This Question was asked as TITA]
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.
The number of patients who were treated with medicine types B, C and D, but not type A was: [This Question was asked as TITA]
- 13
- 22
- 12
- 10
The Correct Option is D
Solution and Explanation
As we probably are aware there are 1000 subjects and just 500 have been considered for treatment and the remainder of 500 have been given a fake treatment. Our sample set is thus created. Subsequently the four medications A, B, C and D have been managed to this arrangement of 500 people. so based on the data given in the inquiry, we can draw the accompanying arrangement of Venn outlines.
According to the question, 250 patients received type A medication. Using this information, we can use Set A values to calculate the number of patients who received drugs A, B, and D—excluding C. 250 - (25 + 20 + 30 + 40 + 20 + 50 + 35) = 30 is the required amount. We know that exactly three different medications were used to treat 100 patients in accordance with condition (d). As a result, the number of patients who received only B, C, and D without A can be filled. The required amount is equal to 10 minus 20 minus 40. According to condition (f) 75 patients were treated with precisely one kind of medication so utilizing that we can ascertain up-and-comers who were regulated just medication B. ⇒75 - (25 +20 + 10) = 20 As a result of this, we are able to easily determine the number of patients treated solely with drugs B and C because we are aware that 210 patients received type C medication. .. The necessary worth = 210 - (30+20 + 40+ 50 + 10 + 20 + 20) = 20 We can fill in the above Venn outline to acquire following graph
According to address complete 500 patients were considered for treatment so the aggregate ought to be 500. In view of this data we can work out the worth of x which addresses the quantity of individuals who were managed drug B and D as it were ⇒x= 500 - (25 +20 +20 + 30+ 40+20 +20 +20 + 50 + 10 +20 + 35 +30 + 10) = 150
The number of patients who were treated with medicine types B, C and D, but not type A was:10
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