Plant Operator Selection System Abstract Pattern Recognition Questions and Answers — Questions and Answers
Question 1: Observe the sequence of figures. Which of the answer choices logically comes next in the series?
Series:
1. An arrow pointing UP.
2. An arrow pointing to the RIGHT, with a small solid circle at its base.
3. An arrow pointing DOWN, with small solid circles at its base and midpoint.
4. An arrow pointing to the LEFT, with small solid circles at its base, midpoint, and arrowhead.
- An arrow pointing UP, with small solid circles at its base, midpoint, arrowhead, and a fourth circle to the right of the midpoint.
- An arrow pointing RIGHT, with four small solid circles along its shaft.
- An arrow pointing UP, with small solid circles at its base, midpoint, and arrowhead. (Correct answer)
- An arrow pointing UP, with a small solid circle at its base.
Correct answer: An arrow pointing UP, with small solid circles at its base, midpoint, and arrowhead.
The pattern involves two independent transformations. First, the arrow rotates 90 degrees clockwise in each step (Up -> Right -> Down -> Left). The next step in the rotation is Up. Second, a small solid circle is added in each step, starting from the base and moving towards the arrowhead. The fourth figure has three circles (base, midpoint, arrowhead). Therefore, the fifth figure should be an arrow pointing UP with the same three circles in the same positions.
Question 2: The first pair of figures has a specific relationship. Choose the figure that completes the second pair in the same way.
Pair 1: [A large, hollow square containing three small, black triangles] is to [A large, black square containing three small, hollow triangles].
Pair 2: [A large, hollow circle containing two small, black stars] is to [?]
- A large, black circle containing two small, hollow stars. (Correct answer)
- A large, hollow circle containing two small, hollow stars.
- A large, black star containing two small, hollow circles.
- A large, black circle containing three small, hollow stars.
Correct answer: A large, black circle containing two small, hollow stars.
The transformation rule is that the large outer shape inverts its color (hollow becomes black), and the small inner shapes also invert their color (black becomes hollow). The number and type of shapes do not change. Applying this to the second pair, the large hollow circle becomes a large black circle, and the two small black stars become two small hollow stars.
Question 3: Which of the following figures is the 'odd one out' and does not belong with the others based on a logical rule?
- A five-pointed star (pentagram).
- A square with a single vertical line dividing it in half. (Correct answer)
- A triangle with lines drawn from each vertex to the midpoint of the opposite side.
- A shape composed of three circles that all intersect at a single common point in the center.
Correct answer: A square with a single vertical line dividing it in half.
The logical rule is based on the number of points where lines intersect or cross. The pentagram has 5 intersection points. The triangle with medians has 1 intersection point. The three intersecting circles have 1 intersection point. All of these have an odd number of intersections. The square with a vertical line has 0 intersection points (the line touches the edges but does not cross another line), which is an even number. Therefore, it is the odd one out.
Question 4: Which figure belongs in the empty box to complete the logic of the 3x3 matrix?
Row 1: [Circle], [Vertical Line], [Circle with a vertical line through it]
Row 2: [Square], [Horizontal Line], [Square with a horizontal line through it]
Row 3: [Triangle], [Plus Sign (+)], [?]
- A triangle with a plus sign inside it. (Correct answer)
- A plus sign with a small triangle at its center.
- A triangle with a horizontal line through it.
- A triangle with a vertical line through it.
Correct answer: A triangle with a plus sign inside it.
The pattern in each row is that the figure in the third column is a superposition of the figures from the first and second columns. In Row 1, the vertical line is placed inside the circle. In Row 2, the horizontal line is placed inside the square. Therefore, in Row 3, the plus sign should be placed inside the triangle.
Question 5: A square piece of paper is folded in half from left to right. Then, it is folded in half again from bottom to top. Finally, a straight cut is made from the top-left corner (the corner with no folds) to the bottom-right corner (the corner where all the paper meets). Which option shows what the paper will look like when it is fully unfolded?
- A large square with a smaller square cut out of its center.
- A large square with an 'X' shaped cut through it.
- A large square with four small triangles cut out, one at each corner.
- A large square with a diamond-shaped hole in the center. (Correct answer)
Correct answer: A large square with a diamond-shaped hole in the center.
The final folded piece is a square one-quarter the size of the original. The cut removes the triangle formed by the top-left corner, the bottom-right corner, and the center of the folded piece. When unfolded top to bottom, this cut is mirrored, creating a larger triangle cut from the right half of the once-folded paper. When unfolded right to left, this larger triangle cut is mirrored, creating an identical cut on the left half. The two larger triangles meet at the center of the original paper to form a diamond-shaped (or square-on-its-point) hole.
Question 6: Which of the answer choices can be created by perfectly fitting together all three of the given component shapes without any overlap?
Components:
1. One large right-angled triangle.
2. An identical large right-angled triangle.
3. One small square with side lengths equal to the shortest side of the triangles.
- A larger square.
- A symmetrical five-sided polygon (a house shape). (Correct answer)
- A perfect rectangle.
- A parallelogram.
Correct answer: A symmetrical five-sided polygon (a house shape).
The two identical right-angled triangles can be joined along their longest side (hypotenuse) to form a rectangle. The small square can then be placed on top of this rectangle, centered on one of the longer sides. This creates a symmetrical five-sided shape that looks like the simple outline of a house.
