Which of the option figures fits exactly into the gap in Figure (X) so that a complete square is formed? The piece may be turned round.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) →
The missing part of the 5 × 5 square in Figure (X) covers 5 small squares. The piece that fits must have exactly this shape and size. The piece in Option (4), turned through 90° anticlockwise, fills the gap exactly.
Option (1) — Incorrect. This piece has one small square less than the gap, so a space would be left in the square.
Option (2) — Incorrect. This piece covers as many small squares as the gap, but one of them is in a different place, so it does not fit the gap even when turned round.
Option (3) — Incorrect. This piece has one small square more than the gap, so it cannot fit into it.