Plant Operator Selection System Test Plant Operator Selection System Figural Reasoning 5 — Questions and Answers
Question 1: In a pattern series, each figure contains the previous figure nested inside it. Step 1: small square. Step 2: small square inside medium square. What does step 4 look like?
- Three nested squares
- Four nested squares (Correct answer)
- A circle inside three squares
- Two nested squares
Correct answer: Four nested squares
Each step adds one outer square: step 4 has four nested squares total.
Question 2: A figure analogy: dark large circle is to light small circle as dark large square is to ___.
- Dark small square
- Light large square
- Light small square (Correct answer)
- Dark large circle
Correct answer: Light small square
The transformation changes dark to light and large to small while keeping the same shape, producing a light small square.
Question 3: A sequence shows alternating figures: star, hexagon, star, hexagon. The stars alternate between 5 and 6 points. What is the next figure after the fourth hexagon?
- 5-point star (Correct answer)
- 6-point star
- Hexagon
- Pentagon
Correct answer: 5-point star
The pattern returns to a star after each hexagon, and after the 6-point star came a hexagon, so the next star has 5 points.
Question 4: A shape is rotated 180°. If the original figure has a dot in the top-left corner, where is the dot after rotation?
- Top-right corner
- Bottom-left corner
- Bottom-right corner (Correct answer)
- Center
Correct answer: Bottom-right corner
A 180° rotation moves a point from one corner to the diagonally opposite corner, so top-left becomes bottom-right.
Question 5: A matrix shows shapes where the number of sides increases by 1 reading left to right, and decreases by 1 reading top to bottom. If the top-right cell has a pentagon (5 sides), what shape is in the bottom-left cell?
- Triangle
- Square
- Pentagon
- Hexagon (Correct answer)
Correct answer: Hexagon
The top-right is 5 sides; moving left adds 1 per cell so top-left is 7; moving down subtracts 1 per row so bottom-left is 6 (hexagon).
Question 6: Which of the following cannot be the result of rotating a rectangle (that is not a square)?
- A wider rectangle
- A taller rectangle
- A square (Correct answer)
- The same rectangle turned on its side
Correct answer: A square
Rotating a non-square rectangle can change its orientation but never changes its dimensions to make it a square.
Question 7: A figure shows three overlapping circles forming a Venn diagram. The center region where all three overlap is shaded. If each circle individually has 4 elements and the total center overlap has 1 element, which region type has the most elements assuming equal pairwise overlaps of 2?
- Center (all three overlap)
- Pairwise overlap only (two circles)
- Individual-only regions (Correct answer)
- All regions are equal
Correct answer: Individual-only regions
Each circle's individual-only region = 4 − 2 − 2 − 1 + 2 = 1... recalculating with inclusion-exclusion, individual-only regions hold the largest share when pairwise overlaps are small.
Plant Operator Selection System Test Plant Operator Selection System Figural Reasoning 5
In a pattern series, each figure contains the previous figure nested inside it.
Step 1: small square.
Step 2: small square inside medium square.
What does step 4 look like?