There are 8 boxes A, B, C, D, E, F, G and H containing different soaps Nirma,…

2026

There are 8 boxes A, B, C, D, E, F, G and H containing different soaps Nirma, Hamam, Santoor, Liril, Lux, Cinthol, Dove and Wild-Stone but not necessarily in same order. Boxes are placed one above other.Box D is kept immediately above Liril Box. More than 3 boxes are kept between Lux and Dove Box. There are 2 boxes between B and E which contains Nirma. There is only one box between E and G. Box containing Wild-Stone is placed at bottom. There are 3 boxes between G and A which contains Hamam. Box H does not contain Santoor. There are 2 boxes between A and C, which contains Cinthol. The box containing Dove is immediately above G. More than 3 boxes are placed between the boxes containing Liril and Lux soaps. Which box is kept at 4th position from top?

  1. A.

    G

  2. B.

    E

  3. C.

    A

  4. D.

    F

Attempted by 2 students.

Show answer & explanation

Correct answer: B

This is a linear vertical arrangement puzzle with two linked attributes, a box letter and a soap brand, across 8 positions numbered 1 at the top to 8 at the bottom. The standard method is to first fix whatever an absolute clue pins directly, then chain the immediately-above and relative-distance clues together as blocks, testing both directions whenever a clue gives only a gap and not a direction, and discarding any direction that later contradicts another distance clue.

  1. The clue that the box containing Wild-Stone is placed at the bottom fixes Wild-Stone at position 8.

  2. The clue that the box containing Dove is immediately above G ties Dove and G into a fixed two-box block, with Dove directly above G.

  3. The clue that Box D is kept immediately above the Liril box adds another fixed two-box block, D directly above the Liril box.

  4. The clues that there are 3 boxes between G and A which contains Hamam, and 2 boxes between A and C which contains Cinthol, together test two possible directions for extending the block below G; only one direction keeps both gaps consistent within a single 8-row stack.

  5. Testing that surviving direction against the clue that more than 3 boxes are placed between the boxes containing Liril and Lux soaps eliminates the other case entirely, since only one placement of the Dove-G-Cinthol-Hamam block leaves enough room between the Liril box and the Lux box.

  6. With that block fixed, the clue that there is only one box between E and G, together with the clue that there are 2 boxes between B and E which contains Nirma, together fix E's own row and confirm Nirma is E's soap.

  7. The clue that more than 3 boxes are kept between the Lux box and the Dove box then fixes B, which holds Lux, in the one remaining row consistent with that gap, leaving F for the last open row, which holds Santoor since no clue restricts it further beyond Box H not containing Santoor, which is already satisfied since H holds Wild-Stone.

Box

Soap

Position from top

D

Dove

1

G

Liril

2

C

Cinthol

3

E

Nirma

4

F

Santoor

5

A

Hamam

6

B

Lux

7

H

Wild-Stone

8

Every clue checks out against this arrangement:

  • Dove's box (D, row 1) is immediately above G (row 2).

  • Three boxes (rows 3, 4, 5) sit between G (row 2) and Hamam's box A (row 6).

  • Two boxes (rows 4, 5) sit between Hamam's box A (row 6) and Cinthol's box C (row 3).

  • Only one box (row 3) sits between E (row 4) and G (row 2).

  • Two boxes (rows 5, 6) sit between B (row 7) and E (row 4), and E holds Nirma.

  • Wild-Stone's box (H) sits at the bottom, row 8.

  • More than 3 boxes (rows 2 to 6, five boxes) sit between Lux's box B (row 7) and Dove's box D (row 1).

  • More than 3 boxes (rows 3 to 6, four boxes) sit between Liril's box G (row 2) and Lux's box B (row 7).

  • H does not hold Santoor, since H holds Wild-Stone.

Every clue checks out against this arrangement, so the box at the 4th position from the top is E.

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