A figure shows nested shapes: Outermost hexagon contains pentagon, which contains square, which contains triangle. Following this pattern, what comes next inside the triangle?
ACircle
BDiamond
CSmaller triangle
DLine segment
Correct Answer:
A. Circle
EXPLANATION
Pattern reduces polygon sides: 6→5→4→3. Next logical shape with no straight sides is circle, or following geometric reduction principle.
A pattern displays: Small circle inside large square, medium circle inside large triangle, small square inside medium circle. What logical principle is being applied?
ASize variation only
BShape and size systematic variation
CRandom arrangement
DColor-based pattern
Correct Answer:
B. Shape and size systematic variation
EXPLANATION
Both the outer shape and inner shape vary systematically with size relationships changing. This demonstrates systematic variation in two attributes.
In a 2×3 grid with alternating shaded and unshaded squares, if positions (1,1), (1,3), (2,2) are shaded, which position should be shaded next following the checkerboard variant pattern?
A(2,1)
B(2,3)
C(1,2)
DNone
Correct Answer:
A. (2,1)
EXPLANATION
The pattern shows alternating shading in a modified checkerboard. Position (2,1) maintains the alternation pattern.
