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Question

Seven boxes S, P, L, Q, R, M and N are placed one above the other (not necessarily in the same order). Only three boxes are placed between M and L. M and L are placed neither at the bottom nor at the top. Only two boxes are placed between L and N. S is immediately below R. There is only one box between S and Q. M is placed above L.
How many boxes are placed between P and N?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper PDF (31-Jan-2021) (Shift 1)
The correct answer is
One

Stacked Boxes Arrangement

This problem requires determining the order of seven stacked boxes (S, P, L, Q, R, M, N) using given constraints.

Key Constraints and Deductions

  • M and L are not top/bottom. 3 boxes between M and L. M above L. This implies M is at 6 and L is at 2. Positions (Top=7, Bottom=1): [?, M, ?, ?, ?, L, ?]
  • 2 boxes between L (at 2) and N. N must be above L. N is at 5. Positions: [?, M, N, ?, ?, L, ?]
  • R is immediately above S (RS pair). Fits in positions 4 and 3. Positions: [?, M, N, R, S, L, ?]
  • 1 box between S (at 3) and Q. Q must be at 1 (L at 2 is between). Positions: [?, M, N, R, S, L, Q]
  • The remaining box P must be at the top position (7). Final Arrangement (Top to Bottom): P, M, N, R, S, L, Q

The final arrangement from top (7) to bottom (1) is:

7: P
6: M
5: N
4: R
3: S
2: L
1: Q

Boxes Between P and N

P is at position 7.

N is at position 5.

The box situated between positions 7 and 5 is at position 6.

Box M is at position 6.

Therefore, there is one box between P and N.

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Important Questions from Box Puzzle

  1. Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. Only four boxes are kept between C and F. Only A is kept above C. Only two boxes are kept between D and E. G is kept immediately above B. E is not kept immediately above G. How many boxes are kept above G?

  2. Seven boxes F, G, H, I, K, L, and O are kept one over the other but not necessarily in the same order. Only three boxes are kept below H. Only two boxes are kept between H and O. Only L is kept above G. F is kept at some place below I and at some place above K. Which box is kept at second position from the bottom?

  3. Seven boxes F, G, H, M, N, O and P are kept one over the other but not necessarily in the same order. Only two boxes are kept below O. Only one box is kept above N. Only one box is kept between N and H. G is kept immediately above M. F is kept at some place below P. How many boxes are kept between P and G?
  4. Seven boxes A, B, C, D, E, F, and G are kept one over the other but not necessarily in the same order. Only four boxes are kept between A and E. Only G is kept above A. Only two boxes are kept between B and C. D is kept immediately above F. C is not kept immediately above D. How many boxes are kept above D?
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