CAT 2018 Question Paper | CAT LR DI

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The straightforwardness of this question from this very juicy set makes it an easy one. Always try to pick the puzzles that you find easy at the first glance. It is not prudent to take up the puzzles that seem convoluted. The labyrinthine set of data from tough puzzles would eat up your time and would make you feel dejected. So, practice many easy questions like this one and make yourself comfortable digesting loads of DILR data. Now, solve this one from the 2018 CAT previous year paper and fortify your CAT preparation online

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 4 : Which of the following statements MUST be FALSE?

1. The numbers of Gold and Platinum tickets bought by Young visitors were equal
2. The numbers of Middle-aged and Young visitors buying Gold tickets were equal
3. The numbers of Old and Middle-aged visitors buying Economy tickets were equal
4. The numbers of Old and Middle-aged visitors buying Platinum tickets were equal

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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.

Let us go statement-by-statement and see if we can find some easy one that HAS to be FALSE.
(A) The numbers of Gold and Platinum tickets bought by Young visitors were equal.
YNG-PT = YNG-GOLD. These two should add up to 42. Or, both should be 21. Total PT should be 42. Total GOLD should be 43.
All of these appear to be possible. Let us look at the other choices and see if we can find an easier CLEARLY FALSE statement.
Else, we will revisit this.

(B) The numbers of Middle-aged and Young visitors buying Gold tickets were equal.
MID-GOLD = YNG-GOLD. MID-GOLD should also be 42 – y. This tells us that z should be 1. This also appears prima-facie possible.
Let us look at the others also before we revisit this one and completely fill the grid.

(C) The numbers of Old and Middle-aged visitors buying Economy tickets were equal.
OLD-ECO = MID-ECO.These two should add up to 17 so these two CANNOT be equal.
So, statement C is DEFINITELY FALSE.
(D) The numbers of Old and Middle-aged visitors buying Platinum tickets were equal.
OLD-PT = MID-PT. Both of these should be \\frac{y}{2}). This also appears to be alright.

The question is "Which of the following statements MUST be FALSE?"

Hence, the answer is The numbers of Old and Middle-aged visitors buying Economy tickets were equal

Choice C is the correct answer