# Cat logical reasoning question 2017

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.
5. If the number of Old visitors buying Platinum tick-
ets was equal to the number of Middle-aged visi-
tors buying Platinum tickets, then which among
the following could be the total number of Plati-
num tickets sold?
(a) 32
(b) 34
(c) 38
(d) 36
6. 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
7. 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
8. Which of the following statements MUST be
FALSE?
(a) The numbers of Middle-aged and Young visitors