PI - Cognitive Assessment Abstract Pattern Series Questions and Answers — Questions and Answers
Question 1: Observe the sequence of figures. Which of the answer choices is the correct next figure in the series? The series progresses as follows: Figure 1 is a large square containing a small black circle in the top-left corner. Figure 2 is a large square containing a small black circle in the top-right corner and a small white circle in the top-left corner. Figure 3 is a large square containing a small black circle in the bottom-right corner, a small white circle in the top-right corner, and a small black circle in the top-left corner.
- A large square with a black circle in the bottom-left, a white circle in the bottom-right, a black circle in the top-right, and a white circle in the top-left. (Correct answer)
- A large square with a black circle in the bottom-left, a white circle in the bottom-right, and a black circle in the top-right.
- A large square with a white circle in the bottom-left, a black circle in the bottom-right, a white circle in the top-right, and a black circle in the top-left.
- A large square with only a black circle in the bottom-left corner.
Correct answer: A large square with a black circle in the bottom-left, a white circle in the bottom-right, a black circle in the top-right, and a white circle in the top-left.
The pattern has two rules. First, the original black circle moves 90 degrees clockwise to the next corner in each step. Second, a new circle is added in the corner that the original black circle just vacated. The color of the newly added circle alternates, starting with white, then black, then white, and so on. In Figure 4, the original black circle moves to the bottom-left. A new, white circle is added in its previous position (the bottom-right). This results in four circles in total.
Question 2: A 3x3 grid contains figures in each cell, except for the bottom right which is empty. Analyze the rows and columns to determine which figure should be in the empty cell. Row 1: [A shape with 3 sides (triangle)], [A shape with 4 sides (square)], [A shape with 5 sides (pentagon)]. Row 2: [A square shaded completely black], [A square shaded half black and half white vertically], [A square shaded completely white]. Row 3: [A circle with one horizontal line through it], [A circle with two horizontal lines through it], [ ? ].
- A circle with one vertical line through it.
- A square with three horizontal lines through it.
- A circle with three horizontal lines through it. (Correct answer)
- A pentagon with two horizontal lines through it.
Correct answer: A circle with three horizontal lines through it.
The logic for each row is independent. In Row 1, the number of sides of the shape increases by one. In Row 2, the amount of black shading decreases by half in each step. In Row 3, the number of horizontal lines within the circle increases by one at each step (one line, then two lines). Therefore, the missing figure must be a circle with three horizontal lines.
Question 3: Examine the following series of figures and identify the one that should come next. Figure 1: A large square. Figure 2: A large square with a smaller square drawn inside it, sharing the same center. Figure 3: A large square with a smaller square inside it, and a small black dot in the very center. Figure 4: A large square with a smaller square inside it, a small black dot in the center, and a horizontal line drawn through the dot.
- A large square with a smaller square inside, a dot in the center, and a vertical line through the dot.
- A large square with a smaller square inside, a dot in the center, and both a horizontal and vertical line through the dot (a plus sign). (Correct answer)
- A large square with two smaller squares inside it and a dot in the center.
- A large square with a smaller square inside, a dot in the center, and a diagonal line through the dot.
Correct answer: A large square with a smaller square inside, a dot in the center, and both a horizontal and vertical line through the dot (a plus sign).
The pattern is cumulative, with a new element being added at each step in a specific sequence. Step 1: Large square. Step 2: Add inner square. Step 3: Add center dot. Step 4: Add horizontal line. The next logical step would be to add a vertical line to the existing figure, creating a plus sign at the center.
Question 4: Which figure logically completes the following sequence? Figure 1: A black circle is in the top-left cell of a 2x2 grid. Figure 2: A white square is in the top-right cell. Figure 3: A black circle is in the bottom-right cell. Figure 4: A white square is in the bottom-left cell.
- A white circle in the top-left cell.
- A black square in the top-left cell.
- A black circle in the top-left cell. (Correct answer)
- A white square in the top-right cell.
Correct answer: A black circle in the top-left cell.
There are three distinct patterns occurring simultaneously. 1. Position: The object moves one cell clockwise in each step. From the bottom-left, the next position is the top-left. 2. Shape: The shape alternates between circle and square. After the square in Figure 4, the next shape must be a circle. 3. Color: The color alternates between black and white. After the white in Figure 4, the next color must be black. Combining these three rules, the next figure must be a black circle in the top-left cell.
Question 5: Consider the following sequence of figures and determine which of the options should be next. Figure 1: A large circle containing a triangle. Figure 2: A large square containing a plus sign (+). Figure 3: A large circle containing a square. Figure 4: A large square containing a cross (X). Figure 5: A large circle containing a pentagon.
- A large circle containing a hexagon.
- A large square containing a plus sign (+). (Correct answer)
- A large square containing a circle.
- A large circle containing a cross (X).
Correct answer: A large square containing a plus sign (+).
This sequence is composed of two interleaved patterns. The odd-numbered figures (1, 3, 5) consist of a large circle, and the inner shape is a polygon that gains one side with each step (triangle -> square -> pentagon). The even-numbered figures (2, 4) consist of a large square, and the inner shape is a cross that rotates 45 degrees with each step (+ -> X). The next figure is the sixth in the series, so it must follow the pattern for even-numbered figures. The inner cross (X) will rotate 45 degrees to become a plus sign (+) again.
Question 6: Observe the series of figures where elements are removed in each step. Which figure correctly shows the next step in the sequence? Figure 1 shows a pentagon with a small circle at each of its five vertices. Figure 2 shows the same figure, but the circle at the top vertex is missing. Figure 3 shows the figure from step 2, but the circle at the bottom-right vertex is also missing. Figure 4 shows the figure from step 3, but the circle at the top-left vertex is also missing.
- The pentagon with only the top and bottom-left circles remaining.
- The pentagon with only the bottom-left and bottom-right circles remaining.
- The pentagon with only the bottom-right and top-right circles remaining.
- The pentagon with only the top-right and bottom-left circles remaining. (Correct answer)
Correct answer: The pentagon with only the top-right and bottom-left circles remaining.
The pattern involves removing one circle at each step. The rule for removal is to skip one vertex in a clockwise direction. Starting from the removed top circle, we skip the top-right vertex and remove the circle at the bottom-right vertex (Figure 3). From the bottom-right, we skip the bottom-left vertex and remove the circle at the top-left vertex (Figure 4). To find the next step, we start from the top-left, skip the top vertex (which is already empty), and remove the circle at the top-right vertex. This leaves only the circles at the bottom-left and top-right vertices.
PI - Cognitive Assessment Abstract Pattern Series Questions and Answers
Observe the sequence of figures.
Which of the answer choices is the correct next figure in the series? The series progresses as follows: Figure 1 is a large square containing a small black circle in the top-left corner.
Figure 2 is a large square containing a small black circle in the top-right corner and a small white circle in the top-left corner.
Figure 3 is a large square containing a small black circle in the bottom-right corner, a small white circle in the top-right corner, and a small black circle in the top-left corner.