Question:

Coloured strips are printed on a transparent sheet as shown below. The bottom half of this sheet is folded backwards along the PQ axis to form a semi-circle. Which of the option(s) will be a part of the resultant semi-circle?

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For transparent sheet folding problems: \begin{itemize} \item Track mirror symmetry about the fold line, \item Remember that colours overlap due to transparency, \item Check both order and orientation of strips carefully. \end{itemize}
Updated On: Jan 30, 2026
  • A
  • B
  • C
  • D
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The Correct Option is B, D

Solution and Explanation

Step 1: Note that the sheet is \emph{transparent}. When the bottom half is folded backward along line PQ, the coloured strips from the bottom half overlap with those on the top half. \bigskip Step 2: Folding backward causes: \begin{itemize} \item Vertical alignment of corresponding strips about PQ, \item Reversal of left–right order for the folded portion, \item Superposition of colours where strips overlap. \end{itemize} \bigskip Step 3: Examine each And compare it with the expected overlap pattern formed after folding: \begin{itemize} \item A: Colour order and overlaps do not match the fold symmetry — invalid. \item B: Correct relative positions and colour overlaps — valid. \item C: Produces an arrangement inconsistent with the folding reflection — invalid. \item Option D: Matches the mirrored and overlapped strip configuration — valid. \end{itemize} \bigskip Final Answer: \[ \boxed{\text{B, D}} \] \bigskip
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