Question

Which one of the answer figure will complete the sequence of the three problem figures ?

• A.

  

• B.

  

• C.

  

• D.

  

Hint:

Each figure is the previous one turned clockwise by about 30 degrees. Turn the third figure by another 30 degrees clockwise.

Answer 1

The Correct Option is A

Step 1: All three problem figures show the same zig-zag polygon. Compare figure 1 and figure 2: figure 2 is figure 1 turned clockwise by about 30 degrees.
Step 2: Compare figure 2 and figure 3: figure 3 is again figure 2 turned clockwise by about 30 degrees, so the polygon rotates by a constant 30 degrees clockwise at each step (its size and shape do not change).
Step 3: Hence the fourth figure is figure 3 turned another 30 degrees clockwise, which is figure 1 turned by about 90 degrees clockwise in total.
Step 4: Carry out this rotation: the long pointed spike that points to the left in figure 3 swings upward towards the top-left, and the group of sharp spikes on the right of figure 3 moves down towards the bottom right.
Step 5: Option 1 shows exactly this orientation with the correct outline. Option 2 can only be matched by flipping the polygon, so it is a mirror image, and options 3 and 4 differ from the polygon in small details of the outline, so they are not rotations of the same polygon.
Answer: (1) the figure shown in option 1