Direction : Study the following information carefully and answer the questions…

2019

Direction : Study the following information carefully and answer the questions given below:

Thirteen boxes of different colors are placed one above another in alphabetical order either from bottom or from top. Each box contains different number of toffees which is multiple of 13. Maximum toffees in a box is 169.
There are equal number of boxes are placed above as well as below J. Two boxes are placed between box J and the Pink colored box. Five Boxes are placed between Pink and Yellow colored box. Box which have 13 toffees is placed just below Yellow colored box. Black colored box is placed just above Red colored box and just below the box which have 169 toffees. There are as many boxes are placed above Red colored box as below the box which have 13 toffees. White colored box is placed just above the box which have 65 toffees and just below the box which have 104 toffees. There are as many boxes are placed between the boxes which have 13 and 52 toffees as between the boxes which have 52 and 104 toffees. Two boxes are placed between Blue colored box which doesn’t have 13 toffees and Green colored box which is placed just below J.

If box F have 13 toffees, then which of the following is Pink colored box?

  1. A.

    M

  2. B.

    Box which have 52 toffees

  3. C.

    G

  4. D.

    Box which have 169 toffees

  5. E.

    Can’t be determined

Show answer & explanation

Correct answer: A

Concept

In a vertical stacking puzzle, you never start from a free-floating clue — you start from the clues that PIN an absolute position. An “equal number of boxes above and below X” clue forces X to the exact middle of the stack, and any “just above / just below” chain locks a rigid block. Anchor those fixed points first, attach the relative clues (“N boxes between…”) to them, then read off what the question asks.

Applying it (13 positions, 1 = bottom … 13 = top)

  1. Equal boxes above and below J ⇒ J sits at the exact centre, position 7 (6 above, 6 below).

  2. Green is just below J ⇒ Green at position 6.

  3. 169 → Black → Red is a top-to-bottom block, so 169 at position 13, Black at 12, Red at 11.

  4. 104 → White → 65 is another such block; with the 13-toffee box just below Yellow and ‘between(13,52) = between(52,104)’, the only consistent fit puts 104 at 9, White at 8, 65 at 7, 52 at 6 and the 13-toffee box at 3.

  5. ‘As many boxes above Red as below the 13-box’ confirms Red at 11 with the 13-box at position 3.

  6. Two boxes between J and Pink ⇒ Pink at position 10; five boxes between Pink and Yellow then fix Yellow at position 4.

Cross-check

Every clue used so far holds on this colour-and-toffee skeleton, and the skeleton is unique: Pink (position 10) is neither the 52-toffee box (the Green box just below J) nor the 169-toffee box (the block at the very top, just above Black), so both of those choices are ruled out by value.

Fixing the letters

The stem says the boxes are “placed one above another in alphabetical order” — for this well-known box-puzzle format that means the thirteen names are a run of CONSECUTIVE letters, so moving one position always moves exactly one letter. That gives a self-contained way to read off any letter once two positions are pinned to letters: F sits at position 3, J sits at position 7 — 4 positions apart — matching F, G, H, I, J, a run of exactly 4 steps, so the direction and step size are confirmed. Pink sits at position 10, which is 3 positions ABOVE J in the same run: J, K, L, M — 3 steps up — landing on M. (The same run also matches every other box letter this passage's sibling questions mention — D, H, L, M, O — which all sit inside a single D-to-P stretch, confirming the same consecutive run rather than an arbitrary sorted set.)

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