Box Arrangement Constraints
We have 7 boxes stacked vertically. Key conditions include:
- Four boxes between R and S (R and S are 5 positions apart).
- Three boxes between Q and T (Q and T are 4 positions apart).
- Two boxes between S and U (S and U are 3 positions apart).
- V is above P, but not immediately (V >= P + 2).
- Q is above V (Q > V).
Determining Arrangement: S, U, R
From '2 boxes between S and U' and '4 boxes between R and S':
- A possible valid setup is S at position 1, U at position 4, and R at position 6.
This fixes:
- S = Position 1
- U = Position 4
- R = Position 6
Remaining positions: {2, 3, 5, 7}. Remaining boxes: P, Q, T, V.
Determining Arrangement: Q, T, V, P
Using '3 boxes between Q and T' (4 positions apart) with remaining positions {2, 3, 5, 7}:
- Q and T must be at positions 7 and 3 (or 3 and 7).
Consider the constraints Q > V and V >= P + 2:
- If Q=7 and T=3: The partial arrangement is S _ T U _ R Q. Remaining {2, 5} for P, V.
- To satisfy Q(7) > V and V >= P + 2, V must be placed at 5 and P at 2. (Check: V=5, P=2 satisfies 5 >= 2 + 2).
This yields the complete arrangement (bottom to top):
| Position | Box |
|---|---|
| 1 | S |
| 2 | P |
| 3 | T |
| 4 | U |
| 5 | V |
| 6 | R |
| 7 | Q |
Final Calculation
The question asks for the number of boxes between R and P.
- R is at Position 6.
- P is at Position 2.
- The boxes between them are at positions 3, 4, and 5 (T, U, V).
Therefore, there are 3 boxes between R and P.
Important Questions from Puzzle
Seven friends O, P, Q, R, S, T and U are watching a movie sitting in a row. S is sitting at one extreme end. P is sitting second to the right of S. P is sitting between O and Q. U is NOT sitting at any extreme end. R Is sitting to the immediate left of T. Q does not sit beside S.Who is sitting at the extreme left end?
What should come in place of the question mark (?) in the given series?
86, 88, 90, 92, 94, ?G, H, J, K, L and P live on six different floors of the same building. The lowest floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6. Only two people live between P and K. Only two people live between P and H. No one lives above P. K lives below H, but above L. How many people live below G?
Seven students, Q, R, S, T, W, X and Y, are sitting in a straight line facing north. Only two people sit to the right of W. Only two people sit between W and X. Only two people sit between Y and R. R sits to the immediate left of W. S sits to the immediate right of Q. How many people sit between S and T?
R, A, D, I, U and S 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 two people live between I and U. Only A lives above R. D lives on an even numbered floor. I lives on the lowermost floor. How many people live between S and A?
