RBC Abstract and Logical Patterns 3 — Questions and Answers
Question 1: A figure is reflected horizontally, then reflected vertically. Which transformation produces the same result as both reflections combined?
- 180° rotation (Correct answer)
- 90° clockwise rotation
- No change
- 45° rotation
Correct answer: 180° rotation
A horizontal reflection followed by a vertical reflection is equivalent to a 180° rotation about the center.
Question 2: In a logical pattern, every dark shape is large, and every large shape is a square. Which conclusion must be true?
- Every dark shape is a square (Correct answer)
- Every square is dark
- Every large shape is dark
- No squares are dark
Correct answer: Every dark shape is a square
If dark → large and large → square, then by transitivity dark → square.
Question 3: A number grid has rows where each value is 3 times the column number plus 2 times the row number. What is the value at row 3, column 4?
- 18 (Correct answer)
- 20
- 22
- 16
Correct answer: 18
3×4 + 2×3 = 12 + 6 = 18.
Question 4: A sequence of figures shows a square losing one corner triangle each step: 4 triangles, 3 triangles, 2 triangles, 1 triangle, ___. What comes next?
- 0 triangles (plain square) (Correct answer)
- 4 triangles again
- 5 triangles
- 2 triangles
Correct answer: 0 triangles (plain square)
The count decreases by 1 each step, so after 1 triangle the next figure has 0 corner triangles — a plain square.
Question 5: Two overlapping shapes create a new region. The pattern shows: circle+square=rectangle, triangle+circle=oval. By the same logic, what does square+triangle equal?
- Pentagon
- Trapezoid (Correct answer)
- Hexagon
- Rhombus
Correct answer: Trapezoid
Combining a right-angle shape (square) with a triangular shape yields a trapezoid by analogy with the given pairings.
Question 6: In a series, each term is the product of the two preceding terms: 1, 2, 2, 4, 8, ___. What is the next term?
- 16
- 32 (Correct answer)
- 12
- 24
Correct answer: 32
Each term = previous × term before it: 4×8 = 32.
Question 7: A matrix has a rule: each cell equals the cell above minus the cell to its left. The top-left cell is 10, top-right is 6, and left-middle is 4. What is the middle-right cell?
- 2 (Correct answer)
- 4
- 6
- −2
Correct answer: 2
Middle-right = cell above it (6) minus cell to its left (4) = 2.
RBC Abstract and Logical Patterns 3
A figure is reflected horizontally, then reflected vertically.
Which transformation produces the same result as both reflections combined?