Crossover Aptitude Test Crossover Aptitude Abstract Reasoning: Pattern Recognition 2 — Questions and Answers
Question 1: A pattern shows: large circle, small circle, large square, small square, large triangle, ___. What comes next?
- Large circle
- Small circle
- Small triangle (Correct answer)
- Large triangle
Correct answer: Small triangle
Each shape appears first large then small, so after large triangle comes small triangle.
Question 2: In a sequence of numbers arranged in a triangle, each number equals the sum of the two above it. Row 1: 1; Row 2: 1, 1; Row 3: 1, 2, 1; Row 4: 1, 3, 3, ___. What is the missing value?
- 2
- 4
- 1 (Correct answer)
- 3
Correct answer: 1
Pascal's triangle always ends each row with 1, so the missing value is 1.
Question 3: A tile pattern alternates between black and white in a checkerboard. If the top-left tile is black, what color is the tile at row 4, column 3?
- White
- Black (Correct answer)
- Gray
- Cannot be determined
Correct answer: Black
Row 4 + column 3 = 7, which is odd; since odd positions starting from (1,1)=black follow black, the tile is black.
Question 4: Each figure in a series gains one extra line segment per step: 1 line, 2 lines, 4 lines, 7 lines, ___. How many lines are in the next figure?
- 10
- 11 (Correct answer)
- 12
- 9
Correct answer: 11
The differences between terms are 1, 2, 3, 4 — increasing by 1 each time — so 7 + 4 = 11.
Question 5: In an abstract series, shapes become darker each step: white → light gray → gray → dark gray → ___. What shade comes next?
- White
- Light gray
- Black (Correct answer)
- Dark gray
Correct answer: Black
The shading darkens progressively through five steps ending in black.
Question 6: A symbol set uses: ★ = 1, ★★ = 3, ★★★ = 6, ★★★★ = 10. How many units does ★★★★★ represent?
- 12
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
The sequence follows triangular numbers (1, 3, 6, 10, 15), so five stars equals 15.
A pattern shows: large circle, small circle, large square, small square, large triangle, ___.
What comes next?