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The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?

Three circles with a dotted shaded sector: I a quarter at upper left, II a wedge from 12 o'clock to about half past 4, III the lower half; IV is a question mark

  • A.A circle with the upper half shaded with dots, divided by a horizontal diameter
  • B.A circle with a large dotted sector on the left, bounded by a vertical line from the centre down to the bottom and a line from the centre to the upper right
  • C.A circle with a dotted sector at the upper left, bounded by a vertical line from the centre up to the top and a line from the centre to the lower left
  • D.A circle with a large dotted sector on the right, bounded by a vertical line from the centre up to the top and a line from the centre to the lower left

Answer: B

The next figure is (B).

Two things change from figure to figure. The shaded sector grows by 45° each time: 90° in I, 135° in II and 180° in III, so IV must shade 225°. And the sector's starting edge turns 90° clockwise each time: I starts at 9 o'clock, II at 12 o'clock and III at 3 o'clock, so IV must start at 6 o'clock.

A 225° sector running clockwise from 6 o'clock covers the left side and the top and ends at about half past one, leaving 135° unshaded on the right. That is option (B).

(A) shades only a half, like III. (C) shades a sector of about 135°, and (D) shades the right side, the mirror image of the required figure.

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