MCAPREP
Home > NIMCET 2016 Paper > Question 56

Question 56

Logical Reasoning Puzzles Easy

Eight friends J, K, L, M, N, O, P and Q live on eight different floors of a building but not necessarily in the same order. The lowermost floor of the building is numbered one, the one above that is numbered two and so on until the topmost floor is numbered eight.<br /> J lives on floor numbered six.<br /> Only one person lives between J and L.<br /> O lives on the floor immediately below L.<br /> Only one person lives between O and P.<br /> O lives above P.<br /> K lives on an even-numbered floor but not on the floor numbered two.<br /> Two persons live between K and Q.<br /> Q does not live on the lowermost floor.<br /> N lives on one of the floors above Q.<br /> Which of the following is true about M?

(A) K lives immediately above M.
(B) Only two people live between M and Q.
(C) M lives on an odd numbered floor.
(D) M lives on the lower most floor.
View Dynamic Solution & Explanation ▼
Correct Solution: Option B

Step-by-step Solution:

Quick Solution

This is a floor arrangement puzzle. We'll use a process of elimination to determine where each person lives, starting with the most definite clues.


1. Step-by-Step Deductions

  1. J is on floor 6.
  2. "One person between J (6) and L" means L is on floor 8 or 4. This creates two possible cases.
  3. "O is immediately below L" and "One person between O and P (with O above P)" gives us:
    • Case A: If L is on 8, then O is on 7 and P is on 5.
    • Case B: If L is on 4, then O is on 3 and P is on 1.
  4. Now we place K and Q. "K is on an even floor (not 2)" and "Two people live between K and Q".
    • Let's test Case A: The only available even floor for K is 4. If K is on 4, Q must be on 1 or 7. But floor 7 is taken (by O) and Q cannot be on floor 1 ("Q does not live on the lowermost floor"). Therefore, Case A is impossible.
    • We must proceed with Case B: The only available even floor for K is 8. If K is on 8, Q must be two floors below, on floor 5. This is valid.
  5. We now have: K(8), J(6), Q(5), L(4), O(3), P(1).
  6. "N lives on a floor above Q (5)". The only available floor above 5 is floor 7. So, N is on 7.
  7. The only person left is M, and the only floor left is floor 2. So, M is on 2.

2. The Final Arrangement

The complete and final arrangement from top to bottom is:

Floor 8: K
Floor 7: N
Floor 6: J
Floor 5: Q
Floor 4: L
Floor 3: O
Floor 2: M Floor 1: P


3. Answering the Question about M

Now we can check the statements about M, who lives on floor 2:

  • A. K lives immediately above M. (False. O is immediately above M).
  • B. Only two people live between M and Q. (True. M is on 2, Q is on 5. O on floor 3 and L on floor 4 live between them).
  • C. M lives on an odd numbered floor. (False. M is on floor 2, which is even).
  • D. M lives on the lower most floor. (False. P is on floor 1).

Final Answer: The true statement is that Only two people live between M and Q.

← Previous Question Our Rankers Next Question →