Seven different boxes A, B, C, D, E, F and G are stacked vertically one above another and are each painted a different colour: Orange, Pink, Purple, Yellow, Blue, Red and Green. The box at the bottom is numbered position 1 and the box at the top is numbered position 7. The following information is known: • B is immediately above E. • The Yellow box is immediately below A. • More than two boxes are above the Orange box. • Only one box is between the Orange box and box F. • G is immediately above the Red box. • Only one box is between B and the Pink box. • Only two boxes are between the Pink box and the Green box. • Only two boxes are between the Yellow box and the Orange box. • The Purple box is neither at the top nor at the bottom. • B is above the Pink box. • C is immediately above F. • Neither C nor G is the Yellow box. • G is not the Orange box. Which combination correctly represents the position of box C and its colour?

Introduction / Context:
This is a multi-condition logical arrangement puzzle involving vertical stacking and unique colour assignments. You must place seven labelled boxes (A, B, C, D, E, F, G) at positions 1 to 7 from bottom to top and assign each a distinct colour, while satisfying all given conditions. Finally, you identify the position and colour of box C.

Given Data / Assumptions:

• Positions: 1 (bottom) to 7 (top).

• Boxes: A, B, C, D, E, F, G, all distinct.

• Colours: Orange, Pink, Purple, Yellow, Blue, Red, Green, all distinct.

• Structural relations: B is immediately above E; C is immediately above F; G is immediately above the Red box; Yellow box is immediately below A; more than two boxes are above Orange; exactly one box between Orange and F; exactly one box between B and Pink; exactly two boxes between Pink and Green; exactly two boxes between Yellow and Orange; B is above Pink; Purple is not at positions 1 or 7; neither C nor G is Yellow; G is not Orange.

Concept / Approach:
We must simultaneously satisfy adjacency constraints (immediately above or below), distance constraints (one or two boxes between certain pairs), and colour restrictions. The best method is to place structural pairs first (like B–E, C–F, Yellow–A, G–Red), check which positions they can occupy, and then assign colours consistently without violating the separation conditions. This typically leads to a unique arrangement.

Step-by-Step Solution:
Step 1: Use the adjacency pairs. B is immediately above E (E, B), C is immediately above F (F, C), Yellow is immediately below A (Yellow, A), and G is immediately above the Red box (Red, G). Each of these pairs must occupy consecutive positions. Step 2: Use “more than two boxes above Orange” to place Orange in positions 1 to 4 only, and “two boxes between Yellow and Orange” to restrict relative positions of Yellow and Orange. Step 3: Use “only one box between Orange and F” to link the Orange box with box F at a distance of 2 positions (either F two above or two below the Orange box). Step 4: Combine with “only one box between B and Pink” and “two boxes between Pink and Green”, while also enforcing that B is above Pink. Step 5: Gradually testing possible placements (or logically eliminating contradictions) leads to a unique stacking order consistent with all constraints. In that unique valid arrangement, box C ends up at position 7, and its assigned colour is Blue. Step 6: Therefore, the correct combination for C is “Position 7 – Blue”.

Verification / Alternative check:
If you attempt to place C at position 6 with Green or with Red, or at position 5 with Purple, you will find that sooner or later one of the distance or colour constraints fails (for example, Purple ends up at a forbidden top or bottom position, or the Orange–F separation cannot be maintained). Systematically checking each option against the full set of constraints shows that only the configuration with C at the top in blue satisfies everything.

Why Other Options Are Wrong:
Option A (6 – Green) conflicts with the required two-box separation between Pink and Green and the adjacency relations among B, E, F, C, G and Red when all other colours are placed.
Option B (6 – Red) clashes with the condition that G must be immediately above the Red box and also with other positional constraints.
Option C (5 – Purple) is impossible because placing Purple there eventually forces Purple to violate the rule that it cannot occupy either the top or the bottom or leads to contradictions with the Orange and Yellow placement distances.

Common Pitfalls:
Many students focus on only one or two conditions and try to guess the position of C without systematically checking every constraint. Others forget that colours and boxes are both unique; you cannot assign the same colour to more than one box. Drawing a clear diagram with positions 1 to 7 and filling in pairs like (E, B), (F, C), (Red, G), and (Yellow, A) is very helpful. Working step by step and crossing out contradictions is the safest technique.

Final Answer:
Hence, the only arrangement that satisfies all the given conditions has box C at the top with blue colour, so the correct answer is Position 7 – Blue.