Question

Aru bought a new cushion cover from the market. Though the material is cotton, she was not happy with the plain cushion cover and planned to dye it with a colour. She followed the process as shown in the diagram, starting with folding the cover along the Y axis. After the first dye, she made the cushion cover dry and again did the same process, but this time started the folding along the X axis. Find out the pattern she created after the second dye.

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is C

To determine the pattern created after Aru applied the dye twice, we need to carefully analyze the sequence of folding and dyeing processes described.

Initially, the cushion cover is folded along the Y-axis. Let's presume the cushion cover is represented by a grid for simplicity:

(1,1)	(1,2)
(2,1)	(2,2)

Folding along the Y-axis means folding the cover in half along the vertical line. This results in the following folding outcome where dye is applied:

• Top half overlays the bottom half, so cells (1,1) and (2,1) align, as do cells (1,2) and (2,2).
• Upon applying dye, both (1,1) and (2,1) will have the same color, as will (1,2) and (2,2).

Next, after drying, Aru repeats the process by folding along the X-axis. This means folding in half along the horizontal line:

• Left half overlays the right half, so positions align as follows:
• Cells (1,1) - (1,2) combine with (2,1) - (2,2).

Given the folding and dyeing sequence, alignments result in the cumulative impression from all folding layers, creating a symmetric pattern centered from folding:

Upon application of the second dye, a symmetrical pattern adheres to the resulting folding logic. The correct pattern, representing dyed areas after two sequential folds, is shown in the provided figure 3:

This logic-driven construction confirms the final pattern consistent with the description.