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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 #8

An apartment building has five floors. Each floor has either one or two apartments. There are exactly eight apartments in the building. The residents of the building are J, K, L,M, N, O, P, and Q, who each live in a different apartment.

a) J lives on a floor with two apartments
b) K lives on the floor directly above P
c) The second floor is made up of only one apartment
d) M and N live on the same floor
e) O does not live on the same floor as Q
f) L lives in the only apartment on her floor
g) Q does not live on the first or second floor

1. If O lives on the second floor, which one of the following CANNOT be true?

(A) K lives on the fourth floor.
(B) K lives on the fifth floor.
(C) L lives on the first floor.
(D) L lives on the third floor.
(E) L lives on the fourth floor.

2. If M lives on the fourth floor, which one of the following must be false?

(A) O lives on the fifth floor.
(B) J lives on the first floor.
(C) L lives on the second floor.
(D) Q lives on the third floor.
(E) P lives on the first floor.

3. Which one of the following must be true?

(A) If J lives on the fourth floor, then Q does not live on the fifth floor.
(B) If O lives on the second floor, then L does not live on the fourth floor.
(C) If N lives on the fourth floor, then K does not live on the second floor.
(D) If K lives on the third floor, then O does not live on the fifth floor.
(E) If P lives on the fourth floor, then M does not live on the third floor.

4. If O lives on the fourth floor and P lives on the second
floor, which one of the following must be true?

(A) L lives on the first floor.
(B) M lives on the third floor.
(C) Q lives on the third floor.
(D) N lives on the fifth floor.
(E) Q lives on the fifth floor.

The solution:

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