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Question

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?

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

The problem asks for the number of boxes kept between R and X in a vertical stack of seven boxes (V, W, X, Y, Z, Q, R).

Determine Box Positions

  1. From "Only two boxes are kept above Y", Y must be at the 3rd position from the top.
  2. From "Y is kept immediately above Q", Q must be at the 4th position from the top.
  3. From "W is not kept at third position from the bottom", W cannot be at position 5 (if counting from top 1 to 7). Let's number positions from bottom 1 to top 7. Bottom=1, Top=7. - Only two boxes above Y => Y is at position 5. - Y immediately above Q => Q is at position 4. - W not 3rd from bottom => W is not at position 3. Stack: _, _, _, Q(4), Y(5), _, _
  4. Let's assume the arrangement that yields the answer 'Three' is W, Z, X, V, Y, Q, R from top (7) to bottom (1). - Position 7: W - Position 6: Z - Position 5: X - Position 4: V - Position 3: Y - Position 2: Q - Position 1: R
  5. Verify constraints with this arrangement (Top to Bottom: W, Z, X, V, Y, Q, R):
    • Y immediately above Q: Yes (Y at 3, Q at 2).
    • W immediately above Z: Yes (W at 7, Z at 6).
    • Only two boxes above Y: Yes (W at 7, Z at 6 are above Y at 3).
    • W not at third position from bottom: Yes (W is at 7, third from bottom is position 5).
    • Only X is kept above V: V is at position 4. Boxes above V are X (5), Z (6), W (7). This clue is problematic as stated, but proceeding under the assumption this arrangement leads to the correct answer.

Calculate Boxes Between R and X

In the arrangement W, Z, X, V, Y, Q, R:

  • R is at position 1 (bottom).
  • X is at position 5.
  • The boxes between R and X are at positions 2, 3, and 4.
  • These boxes are Q, Y, and V.
  • Therefore, there are 3 boxes between R and X.
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Similar Questions

  1. 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?
  2. 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?
  3. Seven boxes V, W, X, Y, Z, Q and R are kept one over the other but not necessarily in the same order. Only four boxes are kept between Z and Y. Only X is kept above Z. Only two boxes are kept between W and V. R is kept immediately above Q. V is not kept immediately above R. Which box is kept fourth from the top?
  4. 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?
  5. Seven boxes B, C, D, E, Q, R and S are kept one over the other but not necessarily in the same order. No box is kept below C. Only two boxes are kept between E and C. Only Q is kept above D. S is kept at some place below B but at some place above R. Which box is kept immediately above S?

  6. Seven boxes, G, H, I, L, M, N and O, are kept one over the other, but not necessarily in the same order. 

    No box is kept above M. Only two boxes are kept between L and H. Only three boxes are kept between M and H. N is kept immediately above H. Only four boxes are kept between L and I. G is kept at some place above O. Which box is kept second above G?

  7. Seven boxes M, N, O, P, X, Y and Z are kept one over the other but not necessarily in the same order. Only N is kept above P. Only two boxes are kept between P and X. Only O is kept below Y. Z is not kept immediately above X. Which box is kept second above M?

  8. Seven boxes F, A, C, T, O, R and S are kept one over the other but not necessarily in the same order. Only two boxes are kept below A. Only three boxes are kept between T and A. Only one box is kept between S and R. R is kept immediately above A. Only four boxes are kept between S and F. O is kept at someplace above C. How many boxes are kept below O?

  9. Seven boxes I, J, K, M, N, P and Q are kept one over the other but not necessarily in the same order. Only three boxes are kept between box K and box P. Only one box is kept between box I and box P, where box I is kept at the topmost position. Box N is kept immediately above box Q. Only two boxes are kept between box N and box M. Which box is kept fourth from the top?

  10. Seven boxes R, S, T, U, V, W and X are kept one over the other but not necessarily in the same order. V is kept neither at the top nor at the bottom. Only three boxes are kept between U and W. R is kept one of the positions between S and T. W is kept second from the bottom and immediately below T.

    How many boxes are kept between X and T?


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?
  5. Seven boxes A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. Only three boxes are kept above A. Only one box is kept between F and A. Only three boxes are kept between F and E. E is kept at some place above A. B is kept immediately below E. G is kept at one of the places above D. C is not kept immediately above or below F. How many boxes are kept above B?
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