PI - Cognitive Assessment Cognitive Assessment Abstract Pattern Series 1 — Questions and Answers
Question 1: A series of figures shows dots arranged in growing triangular rows. Figure 1 has 1 dot, Figure 2 has 3 dots, Figure 3 has 6 dots, Figure 4 has 10 dots. Each new figure adds a bottom row with one more dot than the row above it. How many dots appear in Figure 6?
- 18
- 21 (Correct answer)
- 20
- 15
Correct answer: 21
The sequence follows triangular numbers: each figure adds one more dot than the previous increment (+2, +3, +4, +5, +6). So: 1, 3, 6, 10, 15, 21. Figure 5 = 15 dots, Figure 6 = 21 dots.
Question 2: In a 3×3 pattern grid, each row and each column contains exactly one black shape, one gray shape, and one white shape. Row 1: black circle, gray circle, white circle. Row 2: gray circle, white circle, ___. Row 3: white circle, ___, black circle. What fills the two blank cells (Row 2 last cell, then Row 3 middle cell)?
- Black, then gray (Correct answer)
- Gray, then black
- White, then gray
- Black, then white
Correct answer: Black, then gray
Row 2 already has gray and white, so it needs black. Row 3 already has white and black, so it needs gray. Each column also confirms this: column 3 has white and black already (needs black for row 2, but wait — column 3 is white, ?, black → needs gray... let me re-check). Column 3: white (R1), ? (R2), black (R3) → needs gray. But row 2 needs black. So R2C3 = black and R3C2 = gray.
Question 3: Each figure in a series shows an arrow rotating 90° clockwise per step, while the number of tick marks crossing the arrow shaft increases by one each step. Figure 1: arrow points right, 1 tick mark. Figure 2: arrow points down, 2 tick marks. Figure 3: arrow points left, 3 tick marks. What does Figure 5 show?
- Arrow pointing up with 4 tick marks
- Arrow pointing right with 5 tick marks (Correct answer)
- Arrow pointing down with 5 tick marks
- Arrow pointing left with 4 tick marks
Correct answer: Arrow pointing right with 5 tick marks
The arrow rotates 90° clockwise each step: right→down→left→up→right. Figure 5 completes a full 360° rotation and returns to pointing right. Tick marks increase by 1 each step, so Figure 5 has 5 tick marks.
Question 4: A 5-cell strip has exactly one shaded cell at a time. Each step, the shaded cell jumps 3 positions to the right, wrapping around to the beginning when it passes the end. If the shaded cell starts at position 1, which position is shaded after 4 steps?
- Position 1
- Position 2
- Position 3 (Correct answer)
- Position 4
Correct answer: Position 3
Tracking each step: Start=1, Step 1=4 (1+3), Step 2=2 (4+3=7, wrap: 7−5=2), Step 3=5 (2+3), Step 4=3 (5+3=8, wrap: 8−5=3). The shaded cell lands on position 3.
Question 5: A sequence cycles through two independent patterns simultaneously. Shape follows a 3-step cycle: square → circle → triangle (then repeats). Fill follows a 3-step cycle: solid black → striped → white (then repeats). Both cycles begin at Figure 1. What shape and fill appear in Figure 8?
- Square, solid black
- Triangle, white
- Circle, striped (Correct answer)
- Square, striped
Correct answer: Circle, striped
Shape cycle position for Figure 8: 8 mod 3 = 2 → circle (position 2 in the cycle). Fill cycle position for Figure 8: 8 mod 3 = 2 → striped (position 2 in the cycle). Figure 8 shows a striped circle.
Question 6: A series of nested squares grows outward with each figure. Figure 1 has one square (side = 1 unit). Figure 2 surrounds it with a second square whose sides are twice as long (side = 2 units). Figure 3 adds a third square with sides twice the second (side = 4 units). This doubling continues. What is the total combined perimeter of all squares in Figure 4?
- 48 units
- 56 units
- 60 units (Correct answer)
- 64 units
Correct answer: 60 units
Figure 4 contains four squares with sides 1, 2, 4, and 8 units. Their perimeters are 4, 8, 16, and 32 units respectively. Total = 4 + 8 + 16 + 32 = 60 units.
PI - Cognitive Assessment Cognitive Assessment Abstract Pattern Series 1
A series of figures shows dots arranged in growing triangular rows.
Figure 1 has 1 dot, Figure 2 has 3 dots, Figure 3 has 6 dots, Figure 4 has 10 dots.
Each new figure adds a bottom row with one more dot than the row above it.
How many dots appear in Figure 6?