Question
Seven boxes S, F, G, H, T and U are kept one over the other but not necessarily in the same order. Only two boxes are kept below S. Only one box is kept above U. Only one box is kept between U and B. G is kept immediately above F. T is kept at some place below H.
How many boxes are kept between H and G?
The correct answer is
Four
Understanding the Box Arrangement Puzzle
This problem involves arranging seven distinct boxes (S, F, G, H, T, U, B) in a vertical stack based on a set of given conditions. We need to determine the final arrangement to answer how many boxes are placed between H and G.
Analyzing the Conditions for Box Placement
Let's break down the clues to determine the position of each box. We can number the positions from 1 (top) to 7 (bottom).
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Condition 1: "Only two boxes are kept below S." This means S must be in the 5th position from the bottom. So, S is at position 5.
Positions: 1, 2, 3, 4, 5 (S), 6, 7. -
Condition 2: "Only one box is kept above U." This means U must be in the 2nd position from the top. So, U is at position 2.
Positions: 1, 2 (U), 3, 4, 5 (S), 6, 7. -
Condition 3: "Only one box is kept between U and B." Since U is at position 2, B can either be at position 4 (with one box at position 3 between them) or position 0 (impossible). Therefore, B must be at position 4.
Positions: 1, 2 (U), 3, 4 (B), 5 (S), 6, 7. - Condition 4: "G is kept immediately above F." This means G and F are placed together as a pair, with G directly on top of F (GF).
- Condition 5: "T is kept at some place below H." This means H is somewhere above T in the stack.
Determining the Final Arrangement
We have identified the positions for U, B, and S. The remaining boxes are H, T, G, and F. The available positions are 1, 3, 6, and 7.
- The GF pair (from Condition 4) needs two adjacent empty slots. The available slots are 1, 3, 6, 7. The only adjacent pair is 6 and 7. Thus, G must be at position 6 and F at position 7.
Positions: 1, 2 (U), 3, 4 (B), 5 (S), 6 (G), 7 (F). - The remaining boxes are H and T, and the remaining positions are 1 and 3. Condition 5 states H is above T. Therefore, H must be at position 1 and T must be at position 3.
Final Arrangement (Top to Bottom):- Position 1: H
- Position 2: U
- Position 3: T
- Position 4: B
- Position 5: S
- Position 6: G
- Position 7: F
- Let's double-check all conditions with this arrangement:
- 2 boxes below S (G, F): Yes.
- 1 box above U (H): Yes.
- 1 box between U and B (T): Yes.
- G immediately above F: Yes.
- T below H: Yes.
Finding Boxes Between H and G
The question asks how many boxes are kept between H and G.
- H is at Position 1.
- G is at Position 6.
- The boxes between positions 1 and 6 are U (at 2), T (at 3), B (at 4), and S (at 5).
- Counting these boxes, we find there are 4 boxes between H and G.
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Important Questions from Puzzle (Notes)
- There are five men - A, B, C, D and E, six women P, Q, R, S, T and Z. A, B, and R are advocates. S, Q, P, D and C are doctors and the rest are teachers. A team has to be selected from these eleven persons subject to the following conditions:
(I) A, P and Z have to be together.
(II) B cannot go with D or R.
(III) E and Q have to be together.
(IV) C and T have to be together.
(V) D and P cannot go together.
(VI) C cannot go with Q.
If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be: - Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in themsame order. No box is kept above E. Only three boxes are kept between E and U. Only one box is kept between G and H. H is kept immediately above U. Only four boxes are kept between G and F. T is kept at some place above S. Which box is kept second below T?
- Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. H is kept immediately above E. T is kept immediately above U. Only F is kept above S. Only two boxes are kept above H. T is not kept at third position from the bottom.
How many boxes are kept between G and F? - 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 between D and E. Only F is kept above C. No box is kept below E. G is kept at some place below A but at some place above B.
How many boxes are kept below B? - Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. Only H is kept above E. Only T is kept between E and S. Only F is kept below U.
How many boxes are kept between G and F?
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