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CAT 2018 Slot 1 — DILR Question 2

Venn Diagram based OptimizationEasy
Passage / Data

Answer the following question based on the information given below.

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 Cand S but not B.

What is the minimum possible number of satellites serving B exclusively?

Answer & solution

  • A

    100

  • B

    200

  • 250

  • D

    500

Solution

The number of satellites serving B exclusively = 10x.

As minimum value of ‘x’ is 25, minimum value of 10x is 250.

Hence, option (c).

CAT 2018 Slot 1 DILR Q2: What is the minimum possible number of satellites serving B exclusively? — Solution | TheCATExam