CAT 2018 Slot 1 DILR Set 2 Q5–Q8

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 1, with 4 questions (Venn & Set Puzzles). Answers are CAT's official key.

The set

1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O.
The following facts are known about the satellites:
1.The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.
2.The number of satellites serving all three of B, C, and S is 100.
3.The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.
4.The number of satellites serving O is the same as the number of satellites serving both C and S but not B.

Question 5

What best can be said about the number of satellites serving C?
  1. A
    Must be between 400 and 800
  2. B
    Cannot be more than 800
  3. C
    Must be at least 100
  4. D
    Must be between 450 and 725

Answer: (D) Must be between 450 and 725 Venn & Set Puzzles MCQ

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

Question 6

What is the minimum possible number of satellites serving B exclusively?
  1. A
    100
  2. B
    200
  3. C
    250
  4. D
    500

Answer: (C) 250 Venn & Set Puzzles MCQ

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

Question 7

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
  1. A
    At least 475
  2. B
    No conclusion is possible based on the given information
  3. C
    Exactly 475
  4. D
    At most 475

Answer: (D) At most 475 Venn & Set Puzzles MCQ

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

Question 8

If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
  1. A
    All 1600 satellites serve B or C or S
  2. B
    The number of satellites serving C cannot be uniquely determined
  3. C
    The number of satellites serving B exclusively is exactly 250
  4. D
    The number of satellites serving B is more than 1000

Answer: (B) The number of satellites serving C cannot be uniquely determined Venn & Set Puzzles MCQ

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.