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A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?

A black square PQRS drawn on a grid with a white region cut out of it

  • A.A black shape of unit squares: two upper arms, a horizontal bar, a one-square-wide central stem and a lower bar extending to both sides of the stem, wider on the left
  • B.A black shape of unit squares: two upper arms, a horizontal bar, a central stem and a lower bar extending equally to both sides of the stem
  • C.A black shape of unit squares: two upper arms, a horizontal bar, a central stem and a lower bar extending only to the left of the stem
  • D.A black shape of unit squares: two upper arms, a horizontal bar, a two-square-wide central stem and a short lower bar extending to the left

Answer: C

The other part is shape (iii).

Read Panel I as a 6 by 6 grid of unit squares, columns numbered 1 to 6 from the left. The white region, which the missing part must fill exactly, lies in rows 2 to 5:

  • row 2: column 2, and columns 5 and 6 against the right edge;
  • row 3: columns 2 to 5, a bar of four;
  • row 4: column 4 alone, a one-square neck;
  • row 5: columns 2 to 4, a bar of three.

Shape (iii) has exactly this outline: a single square and a two-square block on top, a bar of four, a one-square neck under its third square, and a bar of three at the bottom ending under the neck. It fits without rotation.

Shape (i) has a bottom bar of four squares, one too many. Shape (ii) has its bottom bar shifted one square to the right. Shape (iv) has a neck two squares wide and a bottom bar of two, so neither matches the cut-out.

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