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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. 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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