CAT 2020 Slot 1 DILR Set 5 Q21–Q24

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2020 Slot 1, with 4 questions (Venn & Set Puzzles). Answers are CAT's official key.

The set

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.

Question 21

How many patients were treated with medicine type B?

TITA: type in the answer. There are no options and no negative marking.

Answer: 340 Venn & Set Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 22

The number of patients who were treated with medicine types B, C and D, but not type A was:

TITA: type in the answer. There are no options and no negative marking.

Answer: 10 Venn & Set Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 23

How many patients were treated with medicine types B and D only?

TITA: type in the answer. There are no options and no negative marking.

Answer: 150 Venn & Set Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 24

The number of patients who were treated with medicine type D was:

TITA: type in the answer. There are no options and no negative marking.

Answer: 325 Venn & Set Puzzles TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Venn diagram: counts of items belonging to overlapping categories (3-4 sets).

More Venn & Set Puzzles questions from CAT

All 60 Venn & Set Puzzles questions asked since 2017.