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We will be solving interesting sets as a part of this series LRDI of the Day. I will be posting a video solution by the end of the day. You can keep a track of all the sets by clicking here: LRDI of the Day

#LRDIoftheDay #6

Hotel Transylvania was built to accommodate all kinds of monsters and their families. To make it more attractive to his clients, Count Dracula decided to shape it in the form of a pyramid with one room at the top, two rooms on the third floor, three rooms on the second floor and four rooms on the first floor. The ground floor was where he stayed with his daughter Mavis and it was meant to be used for administrative and security purposes to not allow any human visitors. The rooms were numbered from 0 to 9. The total area of all the rooms on every floor was the same.

Unknown to most, Mavis was preparing for CAT 2017 and for the sake of her amusement and to aid her preparation, Dracula jumbled up the room numbers and gave an elaborate puzzle to Mavis to solve. The clues she got were:

I. The sum of the room numbers on the first floor is 28
II. II. The room with the largest number on floor two is the central room on the floor
III. The 3rd room number from the left on the first floor isn’t 7
IV. The sum of rightmost room numbers on the four floors put together is 11
V. The rooms numbered 0 and 5 are on different floors
VI. The number of the room at the top minus the number of leftmost room on the third floor is 4
VII. The sum of leftmost room numbers in the four floors add up to 20

1. Which room has the largest area?

2. If the rightmost room on the first floor has the least area, which room number has the least area?

3. What is the sum of the room numbers on the first floor which are not at extreme ends?

4. Which floor has the least sum of all the room numbers present on that particular floor?

The solutions will be up tomorrow. Happy solving!

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