Find out which amongst the four given figures (1), (2), (3) and (4) can be…

2023

Find out which amongst the four given figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).

  1. A.

    1

  2. B.

    2

  3. C.

    3

  4. D.

    4

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Concept: To find which option can be formed from the pieces in figure (X), check whether the exact same set of pieces — same shapes, same relative sizes, same count — can be rearranged edge-to-edge, with no gaps and no overlaps, to exactly recreate one of the four candidate figures. A valid match uses every piece exactly once; any extra, missing, or wrongly-shaped internal line rules an option out.

Application: Figure (X) contains five distinct pieces: one small triangle, one right-angled triangle, and three long, narrow, pointed triangles of different sizes. In figure (3), the small triangle and the right-angled triangle combine near the top to form the pointed peak, while the three long pointed triangles fan out from the same bottom corner without leaving any gap or overlapping sliver — every internal line in figure (3) is accounted for by exactly one of the five pieces, and no piece is left over.

Cross-check: Figure (1) and figure (2) each contain a small triangular sliver placed away from where the actual small piece would land, leaving one of the long pieces mismatched. Figure (4) splits the square with a horizontal line and an upright triangle, a layout that does not correspond to the five piece shapes in figure (X) at all. Only figure (3) accounts for all five pieces with no leftover line, confirming it as the figure that can be formed from figure (X).

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