Q1 · hard · AI-verified
A transparent sheet with a pattern is placed over another sheet. The overlapping area creates a new pattern. If sheet A has vertical lines spaced 2 units apart and sheet B has horizontal lines spaced 3 units apart, what is the area of each rectangular cell formed in the overlapping region?
- 5 square units
- 6 square units
- 12 square units
- 1 square unit
Q2 · hard · AI-verified
In a complex analogical reasoning pattern, if ★◆■ : ☆♦□ :: ●▲◇ : ?, what comes in place of ?
- ○△◊
- ●▲◇
- ◉▼◈
- ○▲◊
Q3 · hard · AI-verified
In a figure classification problem, Group A contains triangles with dots inside, Group B contains circles with lines, and Group C contains squares with crosses. Which figure belongs to Group B: (1) Circle with diagonal lines (2) Triangle with cross (3) Square with dots (4) Circle with vertical and horizontal lines?
- (1) Circle with diagonal lines
- (2) Triangle with cross
- (4) Circle with vertical and horizontal lines
- (3) Square with dots
Q4 · hard · AI-verified
A cube is painted on all six faces and then cut into 64 smaller cubes of equal size. How many small cubes will have exactly two faces painted?
- 24
- 32
- 16
- 8
Q5 · hard · AI-verified
A complex figure is rotated around its center. If after 72° rotation it looks identical to the original, and after 144° it again looks identical, what is the minimum number of identical parts the figure has?
- 5
- 6
- 3
- 4