Year
CAT 2018
Section
Data
Topic
Caselets
Difficulty
Hard
Question
Slot-2
Read the passage and answer the questions below.
Read the passage and answer the questions below.
Passage:
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:
-
140 tickets were sold.
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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.
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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.
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The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Question 1
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?
34
36
38
32
Question 2
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
Question 3
If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number of Middle-aged visitors buying Gold tickets was
Question 4
Which of the following statements MUST be FALSE?
The numbers of Gold and Platinum tickets bought by Young visitors were equal
The numbers of Middle-aged and Young visitors buying Gold tickets were equal
The numbers of Old and Middle-aged visitors buying Platinum tickets were equal
The numbers of Old and Middle-aged visitors buying Economy tickets were equal
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