SSC MTS Embedded Figures

A figure shows a large rectangle with a diagonal line dividing it into two triangles. The upper triangle contains a small circle and a small square. The lower triangle contains a small rectangle and a small pentagon. If we remove the diagonal line, which shapes remain embedded in the figure? (a) Circle, Square, Rectangle, Pentagon (b) Circle, Square only (c) Rectangle, Pentagon only (d) Circle, Rectangle only

In a complex figure, a large hexagon contains three overlapping shapes: a square overlapping with a circle, and both overlapping with a triangle. The overlapping region of the square and circle contains a small dot. Which of the following best describes what is embedded in the figure? (a) Only the square and circle overlap; the triangle is separate (b) All three shapes (square, circle, triangle) overlap in some region (c) The square and triangle overlap, but the circle is separate (d) Only the circle and triangle overlap; the square is separate

A complex star-shaped figure is composed of a central pentagon surrounded by 5 triangular points. Within this figure, a smaller embedded pattern consists of the central pentagon plus exactly 2 adjacent triangular points (sharing edges with the pentagon). How many different ways can this embedded pattern be extracted from the main figure?

A rectangular grid contains 12 small squares arranged in 3 rows and 4 columns. Some squares are shaded black, others are white. An embedded pattern is defined as any 2×2 sub-grid (4 adjacent squares in a square formation) where exactly 3 squares are black and 1 is white. How many such embedded patterns exist in a grid where the first two rows are entirely black and the third row is entirely white?

A figure consists of a large circle with 4 smaller circles positioned at North, South, East, and West points on its circumference. Inside the large circle, there is a cross (+ shape) formed by one vertical and one horizontal line passing through the center. An embedded figure is defined as: one of the 4 smaller circles PLUS the portion of the cross that lies within that circle's boundary. How many distinct embedded figures of this type can be identified?

A composite figure shows a large square subdivided into 9 equal smaller squares (3×3 grid). The center square contains a small diamond. The 4 corner squares each contain a small triangle. The 4 edge-middle squares are empty. An embedded pattern is defined as: the center square plus any 2 of the 4 corner squares that are diagonally opposite to each other. How many such embedded patterns exist?

A figure shows a hexagon with 6 vertices labeled A, B, C, D, E, F in clockwise order. Inside the hexagon, there are 3 non-overlapping triangles: Triangle 1 connects vertices A-B-C, Triangle 2 connects vertices C-D-E, and Triangle 3 connects vertices E-F-A. An embedded pattern is defined as any single triangle that shares exactly 2 vertices with the hexagon's perimeter. How many embedded patterns of this type exist in the figure?

A complex figure contains a large equilateral triangle subdivided into 9 smaller congruent equilateral triangles (3 rows: 1 on top, 2 in middle, 3 on bottom, with some inverted). A small square is embedded with one vertex at the center of the large triangle and its four sides making 45° angles with the sides of the large triangle. How many of the 9 smaller triangles does the embedded square occupy (completely or partially)?

A figure shows a large circle divided into 8 equal sectors by 4 diameters (creating 8 pie-shaped regions). A rectangle is embedded such that its four corners touch four different sectors, with two opposite corners on the circle's circumference and two opposite corners inside the circle. The rectangle is oriented such that its sides are not parallel to any diameter. How many of the 8 sectors does the embedded rectangle occupy (completely or partially)?

A figure shows a large hexagon subdivided into 6 equilateral triangles. Inside this hexagon, a smaller irregular quadrilateral is embedded with one vertex touching the center point and the other three vertices touching three non-adjacent triangle edges. How many of the 6 triangular sections does the embedded quadrilateral completely or partially occupy?

A complex figure contains a large square with two diagonal lines drawn from opposite corners, creating 4 triangular regions. A circle is inscribed in one of these triangular regions. Additionally, a small parallelogram is embedded such that two of its sides lie along two different edges of the square (not on the diagonals). Which of the following statements about the embedded parallelogram is correct?

A figure displays a large rectangle divided by one vertical and one horizontal line through its center, creating 4 equal quadrants. A star shape (5-pointed) is embedded such that its center coincides with the rectangle's center, but it is rotated 36° clockwise from the standard upright position. A small triangle is placed with its base on the top edge of the rectangle and its apex pointing downward into the rectangle. How many of the star's 5 points extend into the top-right quadrant?