Seven boxes M, N, O, P, Q, R and S are kept one over the other but not necessarily in the same order. Only two boxes are kept between Q and O. Only N is kept above P. No box is kept below O. S is kept at some place below R but at some place above M. Which box is kept third above M?
R
Number the places 1 (bottom) to 7 (top). No box is below O, so O = 1. Only N is above P, so N = 7 and P = 6.
Only two boxes between Q and O (at 1) gives Q = 4. The places left are 2, 3 and 5 for M, R and S.
S is below R but above M, so the order is R above S above M among the free places: R = 5, S = 3, M = 2.
| Place | 7 (top) | 6 | 5 | 4 | 3 | 2 | 1 (bottom) |
| Box | N | P | R | Q | S | M | O |
M is at place 2, so the box kept third above M is at place 2 + 3 = 5, which is R.
Check: between Q (4) and O (1) lie S and M, i.e. two boxes; only N (7) is above P (6); nothing is below O (1); R (5) > S (3) > M (2) – all conditions hold.
Hence, R.
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Important Questions from Floor Puzzle
If T joined P, Q, R and S, and T was on the third step, and Q was on a higher step than T, which step must be vacant?
If there are two steps in between the steps on which A and D are standing and C is standing on Step 6, A must be standing on which of the following steps?
If D is standing on step 1, on which step A could be standing?
If E sits in his office and faces the corridor, whose office is to his left?
- I, J, K, L, M and Y live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on, till the topmost floor is numbered 6. Only L lives above Y. I lives on some floor below J. Only M lives below K.
How many people live between J and M?
