Q1 · medium · AI-verified
A question figure shows an arrow pointing to the right (like a pentagon with a pointed right side). Which basic shape is embedded in this figure?
- A circle
- An octagon
- A triangle
- A hexagon
Q2 · hard · AI-verified
Consider a 4×4 grid of unit squares. A diagonal is drawn from the top-left corner to the bottom-right corner. How many rectangles (including squares) are embedded in this 4×4 grid (ignoring the diagonal)?
- 120 rectangles
- 80 rectangles
- 64 rectangles
- 100 rectangles
Q3 · medium · AI-verified
In an embedded figures question, a figure 'X' (a small equilateral triangle) is given. Which type of larger figure will most commonly contain this embedded figure?
(A) A Star of David (six-pointed star)
(B) A single straight line
(C) A perfect circle
(D) A square with no internal lines
- A single straight line
- A square with no internal lines
- A Star of David (six-pointed star)
- A perfect circle
Q4 · hard · AI-verified
In the embedded figures problem, a pentagon (5-sided polygon) has all its diagonals drawn. How many distinct triangles are formed inside the pentagon by the intersection of these diagonals?
- 20 triangles
- 15 triangles
- 35 triangles
- 45 triangles
Q5 · hard · AI-verified
In the figure below, a main figure (X) is given followed by four answer figures (1), (2), (3), and (4). Select the answer figure in which the main figure is exactly embedded as one of its parts.
Main Figure (X): A right-angled triangle with a small circle inscribed in the right angle corner, and a dashed diagonal line from the top vertex to the midpoint of the hypotenuse.
Answer Figures:
(1) A square divided into two triangles with a circle in one corner and a dashed line from the opposite corner to the midpoint of one side
(2) A rectangle with a triangle inside it having a circle at the right angle and a dashed line to the midpoint of the hypotenuse
(3) A rhombus with internal triangular divisions and a small circle near the center
(4) A pentagon with a right triangle embedded but the circle is at the acute angle, not the right angle
- Answer Figure (1)
- Answer Figure (2)
- Answer Figure (3)
- Answer Figure (4)