Abstract Reasoning Flashcards

Shapes are shaded: all triangles are shaded, some circles are shaded. Which conclusion must be true?

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.

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?

Answer: 2

Folding vertically and punching once creates a mirror-image hole on each half of the paper, resulting in 2 holes when unfolded.

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?

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.

In a sequence of symbols: ★ ☆ ★★ ☆☆ ★★★ ☆☆☆, what is the next symbol group?

Answer: ★★★★

The pattern alternates filled and open stars, with each group increasing by one; after ☆☆☆ (3 open) comes ★★★★ (4 filled).

A figure is reflected across a vertical axis. If a right-pointing triangle is on the left side, where does it appear after reflection?

Answer: Right side, pointing left

Reflection across a vertical axis moves the triangle to the opposite side and reverses its horizontal direction.

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?

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).