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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 (8-Mar-2021) (Shift 2)
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. Five boxes B1, B2, B3, B4 and B5 are placed one above the other in racks. The lowermost rack is numbered as one and just above the lowermost is numbered as two and so on. Each box is coloured with different colour such as L1, L2, L3, L4 and L5 (not necessarily in the same order). Two boxes are placed between L2 coloured box and L5 coloured box. Box B1 is not placed immediately above box B3. Box B4 is placed in the top most rack. L1 coloured box is placed immediate above L5 coloured box. Box B3 is coloured with L4. L5 coloured box is placed above L4 coloured box. Box B2 is coloured with L1. Which of the following boxes are placed immediately above and immediately below B5 box respectively?

  2. Five boys A, B, C, D and E eat five different types of food F1, F2, F3, F4 and F5 (not necessarily in the same order). Each also likes a bird named B1, B2, B3, B4 and B5 (not necessarily in the same order). B eats F2. A does not like B3. E eats F1 but does not like B1 or B2. C does not eat F4 but likes B5. The one who eats F3 likes B3. B does not like B2. Which of the following statements are correct?

    I. A likes B2.

    II. C eats F5.

    III. E likes B4.

  3. J, K L, M, N and O are six teachers. Each one teaches a different subject out of Hindi, English, Math, Science, Social Science and Arts, NOT necessarily in the same order. Each of them teaches on only one day, from Monday to Saturday, NOT necessarily in the same order. J teaches Arts on Saturday. L teaches neither English nor Social Science, but he teaches on Thursday. Wednesday is reserved for Maths taught by K. O teaches Science a day before N. Social Science is taught a day before Arts.

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  4. Branches of five banks A,B,C,D and E are as follows:

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    3. B, C and D are in Raipur and Bhopal.

    4. A, E and D are in Gwalior and Jabalpur

    5. C,E and D are in Raipur and Jabalpur

    Branch of which bank is in all places except Gwalior?

  5. Which box is placed at the top?

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