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Question

Seven boxes, A, B, C, D, M, N and O, are kept one over the other but not necessarily in the same order.
Only three boxes are kept above C. Only one box is kept between O and C. Only three boxes are kept between O and N. N is kept at some place above C. A is kept immediately below N. B is kept at one of the places above D. M is not kept immediately above or below O.
Which box is kept at the lowermost position?

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
D

Analyzing the Box Arrangement Puzzle

We need to determine the vertical arrangement of seven boxes (A, B, C, D, M, N, O) based on the given clues to find the box at the lowermost position.

Step-by-Step Deduction

  1. Determine C's Position: The clue "Only three boxes are kept above C" places C at the 4th position from the top (Positions: 1, 2, 3 above C; C is at 4).
    Current Arrangement: ?, ?, ?, C, ?, ?, ?
  2. Determine O's Position: "Only one box is kept between O and C". This means O can be at position 2 (O _ C) or position 6 (C _ O).
  3. Determine N's Position relative to O and C:
    • N is above C (Positions 1, 2, or 3).
    • There are exactly three boxes between O and N.
    Let's test the possibilities for O:
    • If O is at position 2: N must be above C (1, 2, or 3). O is at 2. If N is at 1, there are 0 boxes between N and O. If N is at 3, there are 0 boxes between N and O. This contradicts the clue of 3 boxes between N and O. So, O cannot be at 2.
    • If O is at position 6: C is at 4. N must be above C (1, 2, or 3). If N is at position 2, the boxes between N(2) and O(6) are at positions 3, 4, and 5. This is exactly three boxes. This arrangement fits all conditions so far.
    Current Arrangement: ?, N, ?, C, ?, O, ?
  4. Place A: "A is kept immediately below N". Since N is at position 2, A must be at position 3.
    Current Arrangement: ?, N, A, C, ?, O, ?
  5. Place M: "M is not kept immediately above or below O". O is at position 6. M cannot be at position 5 or 7. The remaining positions are 1, 5, and 7. M must therefore be at position 1.
    Current Arrangement: M, N, A, C, ?, O, ?
  6. Place B and D: The remaining positions are 5 and 7. The clue "B is kept at one of the places above D" means B must be at position 5 and D at position 7.
    Final Arrangement:
    1: M
    2: N
    3: A
    4: C
    5: B
    6: O
    7: D
  7. Identify the Lowermost Box: The box at the lowermost position (position 7) is D.

Conclusion

Based on the deduction, the box at the lowermost position is D.

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Similar Questions

  1. Seven boxes V, W, X, Y, Z, Q and R are kept one over the other but not necessarily in the same order. Y is kept immediately above Q. W is kept immediately above Z. Only X is kept above V. Only two boxes are kept above Y. W is not kept at third position from the bottom. How many boxes are kept between R and X?
  2. Seven boxes A, B, C, D, E, F, and G are kept one over the other but not necessarily in the same order.
    F is kept immediately above G. A is kept immediately above C. Only E is kept above B. Only two boxes are kept above F. A is not kept at third position from the bottom.
    How many boxes are kept above C?
  3. Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. Only A is kept above F. Only C is kept between F and D. Only B is kept below E. How many boxes are kept between E and F?
  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 F and A. Only B is kept above F. Only two boxes are kept between G and E. D is kept immediately above C. E is not kept immediately above D. How many boxes are kept between E and F?
  5. Seven boxes, A, B, C, D, K, L and O, 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 L. Only one box is kept between L and D. C is kept immediately above K. A is kept at some place below B. How many boxes are kept between B and C?
  6. Seven boxes D, E, F, G, H, I and X are kept one over the other but not necessarily in the same order. Only F is kept above I. Only X is kept between I and E. Only H is kept below G. How many boxes are kept between D and F?
  7. 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?
  8. Eight boxes A, B, C, D, E, F, G and H are placed one above another (not necessarily in the same order). Only two boxes are placed between B and E. H is placed immediately below E. Only one box is placed between G and C. Only one box is placed between G and A. B is placed above D and H. More than one box are placed between C and F.
    How many boxes are placed between F and C?
  9. Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. A is kept second from the bottom. Only three boxes are kept between A and G. E is kept at one of the positions below A. Only D is kept between G and F. C is kept at one of the positions above G. How many boxes are kept between B and E?

  10. Seven boxes, M, N, O, P, Q, R and S, are kept one over the other, but not necessarily in the same order.

     No box is kept above O. Only three boxes are kept between O and S. Only one box is kept between Q and M. M is kept immediately above S. Only four boxes are kept between Q and P. R is kept at some place above N. 

    Which box is kept second below R?


Important Questions from Box Puzzle

  1. 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.

    Which subject is taught on the day between Thursday and Saturday?

  2. Five chairs C1, C2, C3, C4 and C5 are placed one above the other. If C1 is above C2, C3 is above C4 but below C5 and C4 is above C1, which chair is in the middle ?
  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. Which subject is taught by L?

  4. J, K L, M, N and 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 Science on Wednesday. O teaches Math second after J. K teaches on the first day of the week, but teaches neither Hindi nor English. M teaches English before N and L teaches Arts before J. Which subject is taught on Saturday?

  5. Which box is the first from the left?

    A. Red

    B. White

    C. Blue

    D. Green
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