Reasoning question of CAT 2018 SLOT 1

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 numbers of satellites serving all three of B,
   C, and S is 100.
3. The numbers 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 numbers of satellites serving O is the same
   as the number of satellites serving both C and
   S but not B.
5. What best can be said about the number of satellites serving C?
   (a) Can’t be more than 800
   (b) Must be at least 100
   (c) Must be between 450 and 725
   (d) Must be between 400 and 800
6. What is the minimum possible number of satellites
   serving B exclusively?
   (a) 100
   (c) 250
   (b) 200
   (d) 500
7. If at least 100 of the 1600 satellites were serving
   O. what can be said about the number of satellites
   serving S?
   (a) Exactly 475
   (b) At most 475

1. (c) At least 475
2. (d) No conclusion is possible based on the given
3. information
4. 4. If the number of satellites serving at least two
5. among B, C, and S 1200, which of the following
6. MUST be FALSE?
7. (a) All 1600 satellites serve B or C or S
8. (b) The number of satellites serving B is more than
9. 1000
10. (c) The number of satellites serving C cannot be