UDEE - Uniformed Division Entrance Figural Reasoning and Patterns Questions and Answers — Questions and Answers
Question 1: Observe the sequence of figures. Which of the answer choices correctly completes the series?
- A figure with a triangle inside a circle.
- A figure with a square inside a triangle.
- A figure where the outer shape of the previous figure becomes the inner shape of the next, and the inner shape becomes the new outer shape. (Correct answer)
- A figure with a circle inside a square.
Correct answer: A figure where the outer shape of the previous figure becomes the inner shape of the next, and the inner shape becomes the new outer shape.
The pattern in this series involves the transformation of shapes from one figure to the next. Specifically, the outer shape of one figure becomes the inner shape in the following figure, and the inner shape of the first figure becomes the outer shape of the next. For example, if the first figure is a circle inside a square, the next will be a square inside a circle.
Question 2: A series of figures shows a primary shape rotating and a secondary, smaller shape moving between its corners. In the first figure, a square contains a small circle in the top-left corner. In the second, the square has rotated 45 degrees clockwise, and the circle has moved to the next corner, also clockwise. Which of the following describes the position and orientation in the fourth figure?
- The square is rotated 180 degrees from the original position, and the circle is in the bottom-left corner.
- The square is rotated 135 degrees clockwise from the original position, and the circle is in the bottom-right corner. (Correct answer)
- The square is rotated 135 degrees clockwise from the original position, and the circle is in the top-right corner.
- The square is rotated 90 degrees clockwise from the original position, and the circle is in the bottom-right corner.
Correct answer: The square is rotated 135 degrees clockwise from the original position, and the circle is in the bottom-right corner.
The pattern involves two consistent changes: the main square rotates 45 degrees clockwise each step, and the small circle moves one corner clockwise each step. By the fourth figure, the square will have rotated a total of 3 * 45 = 135 degrees. The circle will have moved three corners clockwise from top-left, placing it in the bottom-right corner.
Question 3: Which of the following principles is commonly tested in figural reasoning patterns on the UDEE?
- Addition or subtraction of elements, where shapes or lines are added or removed in a sequence. (Correct answer)
- Complex mathematical calculations represented by shapes.
- Knowledge of historical art styles reflected in the figures.
- Reading comprehension of text embedded within the figures.
Correct answer: Addition or subtraction of elements, where shapes or lines are added or removed in a sequence.
Figural reasoning tests, including those on the UDEE, often assess the ability to recognize logical patterns such as rotation, size change, reflection, and the addition or subtraction of elements within a series of figures.
Question 4: Examine the 3x3 matrix of figures. The figures in each row and column follow a specific rule. The bottom-right figure is missing. Horizontally, the number of sides on the shape increases by one. Vertically, the shading of the shape cycles from striped, to solid, to clear. Given the figure in the center is a solid pentagon, and the figure to its right is a clear hexagon, what is the missing figure?
- A solid heptagon (7-sided shape).
- A clear heptagon (7-sided shape).
- A striped octagon (8-sided shape).
- A clear octagon (8-sided shape). (Correct answer)
Correct answer: A clear octagon (8-sided shape).
Following the rules, the shape in the bottom-right must be an octagon because the shape to its left would be a heptagon (continuing the horizontal rule). The shading must be clear. The top-right is striped (implied), the middle-right is clear, so the bottom-right must follow the vertical pattern. If the center is solid, the one below it would be clear. Therefore, the missing figure is a clear octagon.
Question 5: A problem presents a pair of figures as an analogy: 'Figure A is to Figure B'. You must then find the figure that completes the second pair: 'Figure C is to ?'. Figure A is a large circle. Figure B is a small circle. Figure C is a large square. What is Figure D?
- A large triangle.
- A small square. (Correct answer)
- Two large squares.
- A large square with a circle inside.
Correct answer: A small square.
This is a figural analogy problem. The relationship between Figure A and Figure B is a change in size; the shape remains the same but becomes smaller. Applying this same rule to Figure C, which is a large square, the resulting Figure D must be a small square.
Question 6: Consider a pattern where a transparent sheet with a design is folded along a dotted line. The initial image shows a square sheet with a solid circle in the top-left quadrant and a hollow circle in the bottom-left quadrant. The dotted line runs vertically down the middle. Which of the following figures represents the result after the left side is folded over the right?
- A rectangle showing a solid circle and a hollow circle on the right side.
- A rectangle showing a solid circle above a hollow circle on the right side. (Correct answer)
- A rectangle showing a hollow circle above a solid circle on the right side.
- A square showing the original image unchanged.
Correct answer: A rectangle showing a solid circle above a hollow circle on the right side.
When the left side of the transparent sheet is folded over the right along the vertical dotted line, the designs on the left will be superimposed onto the right half. The solid circle from the top-left will appear in the top-right, and the hollow circle from the bottom-left will appear in the bottom-right, resulting in a rectangle showing the solid circle directly above the hollow circle.
UDEE - Uniformed Division Entrance Figural Reasoning and Patterns Questions and Answers
Observe the sequence of figures.
Which of the answer choices correctly completes the series?