HAST Abstract Reasoning 2 — Questions and Answers
Question 1: Shapes are shaded: all triangles are shaded, some circles are shaded. Which conclusion must be true?
- At least one circle is shaded (Correct answer)
- All circles are shaded
- No squares are shaded
- All shaded shapes are triangles
Correct answer: At least one circle is shaded
The statement 'some circles are shaded' directly means at least one circle is shaded, making that the only guaranteed conclusion.
Question 2: A fold-and-cut problem: a square paper is folded in half vertically and a hole is punched in the center. When unfolded, how many holes appear?
- 2 (Correct answer)
- 1
- 4
- 3
Correct answer: 2
Folding vertically and punching once creates a mirror-image hole on each half of the paper, resulting in 2 holes when unfolded.
Question 3: Which net can be folded into a cube: (A) a cross of 6 squares, (B) a row of 6 squares, (C) an L-shape of 6 squares, (D) a T-shape of 5 squares?
- A cross of 6 squares (Correct answer)
- A row of 6 squares
- An L-shape of 6 squares
- A T-shape of 5 squares
Correct answer: A cross of 6 squares
A standard cross-shaped net (1 center square with 4 attached to each side and 1 more on one side) correctly folds into a cube.
Question 4: In a sequence of symbols: ★ ☆ ★★ ☆☆ ★★★ ☆☆☆, what is the next symbol group?
- ★★★★ (Correct answer)
- ☆☆☆☆
- ★★★★★
- ☆☆
Correct answer: ★★★★
The pattern alternates filled and open stars, with each group increasing by one; after ☆☆☆ (3 open) comes ★★★★ (4 filled).
Question 5: A figure is reflected across a vertical axis. If a right-pointing triangle is on the left side, where does it appear after reflection?
- Right side, pointing left (Correct answer)
- Right side, pointing right
- Left side, pointing left
- Center, pointing up
Correct answer: Right side, pointing left
Reflection across a vertical axis moves the triangle to the opposite side and reverses its horizontal direction.
Question 6: Tiles follow rule: each tile = sum of the two tiles directly above it. Row 1: 1, 1. Row 2: 1, 2, 1. What is the middle value in row 4?
- 6 (Correct answer)
- 4
- 3
- 8
Correct answer: 6
Row 3 is 1, 3, 3, 1 and row 4 is 1, 4, 6, 4, 1; the middle value of row 4 is 6 (Pascal's Triangle).
HAST Abstract Reasoning 2
Shapes are shaded: all triangles are shaded, some circles are shaded.
Which conclusion must be true?