Question
Seven boxes E, F, G, H, S, T and U are kept one over the other but not necessarily in the same order. Only three boxes are kept above G. Only one box is kept between E and G. Only three boxes are kept between E and U. U is kept at some place above G. T is kept immediately below U. S is kept at one of the places above F. H is not kept immediately above or below E.
Which box is kept at the lowermost position?
The correct answer is
F
To solve this problem, we need to arrange the seven boxes E, F, G, H, S, T, and U based on the given clues. Let's analyze the clues step by step:
- Only three boxes are kept above G.
- This means G is in the 4th position from the top since 3 boxes are above it. Let's represent them as follows: \(--- \, --- \, --- \, G \, --- \, --- \, ---\)
- Only one box is kept between E and G.
- Thus, E can be at either 2nd or 6th position because these are one position away from the 4th position based on G's position.
- Only three boxes are kept between E and U. U is kept at some place above G.
- To satisfy this, if E is in the 2nd position, then U can be in the 6th position.
If E is in the 6th position, U would be in the 2nd position. But as U should be kept above G, we finalize E in the 2nd position and U in the 6th position.
- To satisfy this, if E is in the 2nd position, then U can be in the 6th position.
- T is kept immediately below U.
- Given U is in the 6th position, T has to be in the 7th position.
- S is kept at one of the places above F.
- Since S is above F and U takes the 6th and T takes the 7th, F has to be the lowermost, i.e., the 7th position is already taken, so F must be in the 5th position. S must then be one of the top three.
- H is not kept immediately above or below E.
- Since E is in the 2nd position, H cannot be in the 1st or 3rd positions. Thus, H must be in the 1st position as it fits the only remaining valid position after S.
Based on the above deductions, the final position for each box is as follows:
| Position | Box |
|---|---|
| 1 | H |
| 2 | E |
| 3 | S |
| 4 | G |
| 5 | F |
| 6 | U |
| 7 | T |
Therefore, the box kept at the lowermost position is F.
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Which of the following statements is/are correct ?
Statements :
I. Q holds second position.
II. Q holds third position.
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