CAT 2018 Question Paper | CAT LR DI

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The question asks you to find the persons in the room before Ganesh entered. Just plugging in the data would help crack this puzzle, especially this question. Fun fact: The CAT exam does not always bombard you with the most difficult questions. These are the easy ones that must be capitalized on to boost your DILR score. For more such exciting questions dive into the 2IIM CAT question bank right away!

CAT DILR : CAT 2018 Question Paper Slot 2

Set 5 : Amusement Park Tickets

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 2 : 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]

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question on CAT DILR

From second constraint,
OLD Visitors = x, MID = 2x, Young = 4x.
7x = 140 or, x = 20 , 2x = 40 , 4x = 80.
Let us fill this in. and then go to constraint 3 and 4.

From constraint 3, Total Platinum = 2y, then YNG platinum should be y.
From constraint 4, Let us fill OLD-GOLD and OLD-ECO has z.

OLD-GOLD > YNG-GOLD.
Z > 42 – y Or, y + z > 42
We need to find MID-GOLD. This is equal to 85 – 2y – z – (42 – y) = 43 – (y + z).
We know that y + z > 42. So, MID-GOLD has to be 0.

The question is "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]"

Hence, the answer is 0

 

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