CAT 2018 Slot 2 DILR Set 5 Q17–Q20

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2018 Slot 2, with 4 questions (Venn & Set Puzzles). Answers are CAT's official key.

The set

Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

Question 17

If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold?
  1. A
    32
  2. B
    38
  3. C
    34
  4. D
    36

Answer: (A) 32 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 18

If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number Middle-aged visitors buying Gold tickets was [TITA]

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

Answer: 0 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 19

If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was [TITA]

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

Answer: 3 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 20

Which of the following statements MUST be FALSE?
  1. A
    The numbers of Gold and Platinum tickets bought by Young visitors were equal
  2. B
    The numbers of Middle-aged and Young visitors buying Gold tickets were equal
  3. C
    The numbers of Old and Middle-aged visitors buying Economy tickets were equal
  4. D
    The numbers of Old and Middle-aged visitors buying Platinum tickets were equal

Answer: (C) The numbers of Old and Middle-aged visitors buying Economy tickets were equal 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 Cross-classification of a population by two or three attributes; fill the contingency table.

More Venn & Set Puzzles questions from CAT

All 60 Venn & Set Puzzles questions asked since 2017.