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Question

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

The correct answer is
4

Analyze the Clues and Determine Box Positions

We need to determine the vertical arrangement of seven boxes (A, B, C, D, E, F, G) based on the given clues. Let's denote the positions from 1 (bottom) to 7 (top).

  • Clue 1: "Only two boxes are kept below B." This places B at position 3.
    Arrangement: _, _, B, _, _, _, _ (Positions 7 to 1)
  • Clue 2: "Only one box is kept above G." This places G at position 6 (second from the top).
    Arrangement: _, G, _, _, B, _, _
  • Clue 3: "Only one box is kept between G and A." Since G is at position 6, A must be at position 4 (with the box at position 5 in between).
    Arrangement: _, G, _, A, B, _, _
  • Clue 4: "C is kept immediately above F." This forms a 'CF' block. The available adjacent slots are positions 2 and 1. So, C is at position 2, and F is at position 1.
    Arrangement: _, G, _, A, B, C, F
  • Clue 5: "E is kept at some place below D." The remaining boxes are D and E, and the remaining slots are positions 7 and 5. For E to be below D, D must be at the top (position 7) and E must be below it (position 5).
    Final Arrangement (Top to Bottom): D(7), G(6), E(5), A(4), B(3), C(2), F(1)

Final Arrangement Verification

Let's verify the final arrangement:

  • Position 7: D
  • Position 6: G
  • Position 5: E
  • Position 4: A
  • Position 3: B
  • Position 2: C
  • Position 1: F

All clues are satisfied:

  • Two boxes (F, C) are below B (position 3).
  • One box (D) is above G (position 6).
  • One box (E) is between G (position 6) and A (position 4).
  • C (position 2) is immediately above F (position 1).
  • E (position 5) is below D (position 7).

Calculate Boxes Below E

The box E is located at position 5.

The boxes located below E are at positions 1, 2, 3, and 4.

These boxes are F, C, B, and A, respectively.

Therefore, there are 4 boxes kept below E.

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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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