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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 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?
  3. 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?
  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 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?
  5. 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?
  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 A, B, C, D, E, F and G are kept one over the other but not necessarily in the same order. Exactly two boxes are kept between E and B. B is kept on one of the positions above E. C is kept at the bottommost position. Box G is kept immediately above E. Exactly two boxes are kept between D and G. Only one box is kept below F. 

    Which box is immediately below B?

  8. Seven boxes, B, C, D, E, Q, R and S, are kept one over the other, but not necessarily in the same order. Only one box is kept above E. Only two boxes are kept between C and E. B is kept immediately above E. Only Q is kept immediately below S. D is kept at some place below B and at some place above R. How many boxes are kept between B and S?

  9. Six boxes, R, S, T, U, V and X, are kept one over the other, but not necessarily in the same order. 

    Only one box is kept below S. Only one box is kept above U. Only one box is kept between U and V. T is kept immediately below S. R is kept at some place below X. How many boxes are kept between X and T?

  10. 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?


Important Questions from Box Puzzle

  1. 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.

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

    1. A, B and C are in Indore and Bhopal.

    2. A, B and E are in Indore and Gwalior

    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?

  3. Which box is the first from the left?

    A. Red

    B. White

    C. Blue

    D. Green
  4. Which of the following statements is true?

    A. The black box is second from the left.

    B. The white box is second from the left.

    C. The green box is third from the left.

    D. The white box is third from the right.

  5. Which box is in the middle of the row?

    A. Black

    B. Blue

    C. Green

    D. Red
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