Emptiness increases by 25% each step: 0%, 25%, 50%, 75%, 100%. The pattern reaches complete emptiness.
Q.89Medium
A sequence of nested shapes: Triangle inside Triangle inside Triangle (3 layers), then 4 layers, 5 layers, then ? layers
Answer: A
Each figure in the sequence adds one more nested layer. The progression is 3, 4, 5, 6 layers.
Q.90Hard
Hexagons arranged in honeycomb pattern: Stage 1 has 1 hexagon, Stage 2 has 7 hexagons, Stage 3 has 19 hexagons, Stage 4 has ?
Answer: A
Differences: 6, 12, 18 (increasing by 6). Next difference is 24, so 19 + 18 = 37. Pattern follows 3n² - 3n + 1.
Q.91Hard
In a sequence, figures show: 1 side shaded, 2 sides shaded, 3 sides shaded of a square. What appears after 4 sides shaded?
Answer: A
After completing a 4-sided shape (square) with all sides shaded, the pattern progresses to the next polygon (pentagon) starting fresh with 1 side shaded.
Q.92Easy
A sequence shows triangles with increasing internal lines: First triangle has 0 internal lines, second has 1 diagonal line, third has 2 intersecting diagonals, fourth has 3 lines forming internal divisions. How many internal lines will the fifth triangle have?
Answer: A
The pattern shows arithmetic progression: 0, 1, 2, 3, therefore the next number is 4. Each triangle gains one additional internal line.
Q.93Easy
In a pattern, rectangles are divided into sections: Stage 1 has 2 sections, Stage 2 has 4 sections, Stage 3 has 8 sections, Stage 4 has 16 sections. Which formula represents the number of sections at Stage n?
Answer: B
The sequence follows powers of 2: 2¹=2, 2²=4, 2³=8, 2⁴=16. At stage n, there are 2^n sections, making this exponential growth.
Q.94Medium
A pattern shows pentagons with vertices colored: Stage 1 has 1 vertex colored, Stage 2 has 3 vertices colored, Stage 3 has 6 vertices colored, Stage 4 has 10 vertices colored. What is the pattern rule?
Answer: A
The sequence 1, 3, 6, 10 represents triangular numbers: 1(2)/2=1, 2(3)/2=3, 3(4)/2=6, 4(5)/2=10. Each stage n has n(n+1)/2 colored vertices.
Q.95Medium
In a composite pattern, concentric circles alternate with squares: Circle (1 region), Square-Circle (4 regions), Square-Circle-Square (9 regions), Square-Circle-Square-Circle (16 regions). How many regions will the next figure have?
Answer: C
The pattern shows perfect squares: 1², 2², 3², 4², so the next is 5² = 25 regions. Each figure follows the pattern of adding alternating shapes creating n² distinct regions.
Q.96Hard
A pattern combines rotation and reflection: Figure 1 shows a shape pointing Up, Figure 2 shows it rotated 90° Clockwise, Figure 3 shows it reflected horizontally, Figure 4 shows original orientation restored. What transformation will Figure 5 undergo if the cycle repeats with an added complexity of scaling?
Answer: A
The base pattern cycles: Up → Right (90° CW) → Left (H-flip) → Up (restore) → Up (repeat begins). With scaling complexity added, the next step follows counter-clockwise (opposite of initial CW) with reduction, making 50% scaled 90° CCW rotation the logical continuation for cycle variation.
Q.97Easy
If a word 'MIRROR' is reflected in a vertical mirror, which option shows the correct mirror image?
Answer: A
In a vertical mirror, text is horizontally flipped. MIRROR becomes RORRIM when reflected.
Q.98Easy
What is the mirror image of the number '2847' when reflected in a vertical mirror?
Answer: A
In vertical mirror reflection, digits are reversed from right to left: 2847 becomes 7482.
Q.99Medium
If the time shown on a clock is 3:15, what time will be shown in its mirror image?
Answer: A
Mirror image of clock time is calculated as 12:00 - actual time = 12:00 - 3:15 = 8:45.
Q.100Easy
Which option represents the correct water image (vertical flip) of the letter 'P'?
Answer: A
Water image involves vertical flipping. P flipped vertically becomes its mirror equivalent.
