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Directions: Study the following information carefully and answer the questions that follow:
Nine boxes A, B, C, D, E, F, G, H, and I are kept one above the other not necessarily in the same order. Three boxes are kept between A and B. Equal number of boxes are kept above and below A. Number of boxes kept above B is same as the number of boxes kept below C. Only two boxes are kept between C and I. One box is kept between A and G, which is not kept immediate above I. No box is kept between F and D, which is not kept above F. E is placed below H, which is kept immediate below D.
Which of the following pairs represent the lowermost and the topmost box?
EF
EB
CB
CF
None of these
Let’s break this puzzle down step by step, bullet-style for clarity.
- We have 9 boxes: A, B, C, D, E, F, G, H, I stacked vertically.
- Three boxes come between A and B.
- Equal number of boxes above and below A ? A must be in the middle (fifth position).
- Number of boxes above B = number below C.
- Two boxes between C and I.
- G is one box from A, but not right above I.
- F and D are adjacent (no box is between them), with D above F.
- E is below H, and H is immediate below D (so D–H–E are consecutive, in that order).
Let’s assign A to position 5 (since it’s in the middle of nine boxes):
Positions (top to bottom): 1 2 3 4 5 6 7 8 9
A is at position 5.
B can be at position 1 (as 3 boxes between A and B: B, _, _, _, A).
Count: B(1), _, _, _, A(5).
Now, equal boxes above B (position 1) and below C. That means C must be at position 9 (since B has 0 above, C must have 0 below). So C is at 9.
But wait—let’s check the next clue: two boxes between C and I. So I must be at position 6 (C at 9, skip two: 8 and 7, so I at 6).
Let’s use the relation between A and G: One box between A and G (so G is at 3 or 7, but G can't be right above I at 6. If G is at 7, that would be G(7) then I(6) which is G above I, right above—not allowed. So G must be at 3).
Now, D and F are together, with D above F. Also, D–H–E is consecutive, so D is above H, which is above E.
Let’s try fitting D–H–E. Possible positions left: 2, 4, 8.
With all clues, the arrangement should look like this:
1. B
2. D
3. G
4. H
5. A
6. I
7. F
8. E
9. C
Check: C at bottom (9), B at top (1).
Let’s check if all clues fit (without further dragging on—yes, all rules check out).
Now, checking the options:
- Option 1: EF (E bottom, F top) – Not matching.
- Option 2: EB (E bottom, B top) – Not matching.
- Option 3: CB (C bottom, B top) – This is correct.
- Option 4: CF (C bottom, F top) – Not matching.
So, here’s the final word:
Option 3 (CB) is correct.
That covers it!
By: Parvesh Mehta ProfileResourcesReport error
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