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A rectangular paper of 20 cm x 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is A. 18 B. 24 C. 20 D. 21

GATE 2024 · General Aptitude · Paper Folding · medium

Answer: 18 cm

  1. Fold 1 — along 20 cm midline: Sheet becomes 10 cm x 8 cm. Long edge is still 10 cm.
  2. Fold 2 — along 10 cm midline: Sheet becomes 5 cm x 8 cm. Now 8 cm > 5 cm, so the long edge has shifted to the 8 cm side.
  3. Fold 3 — along 8 cm midline (now the long edge): Sheet becomes 5 cm x 4 cm.
  4. Compute perimeter of final folded sheet: Perimeter = 18 cm.