In each of the following questions, select a figure from amongst the four…
2024
In each of the following questions, select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern. Identify the figure from the four given figures that completes the pattern.
(X) (1) (2) (3) (4)
- A.
1
- B.
2
- C.
3
- D.
4
Show answer & explanation
Correct answer: B
Concept: Figure (X) is built panel by panel: every panel already drawn is cut by the same small number of diagonals, all meeting at one interior point, so each panel encloses the same fixed count of triangles. The alternative that belongs in the blank panel must repeat that exact crossing — not add lines, not remove them.
Application:
Trace the diagonals inside each panel already drawn in figure (X): they always meet at a single interior point and split the panel into the same small set of triangles.
Figure 1 braces both sides of its centre line at once, so it encloses more triangles than any panel actually drawn in figure (X).
Figure 4 overlays a second, denser set of crossing diagonals on top of the first, which roughly doubles the triangle count carried by the rest of the pattern.
Figure 3 adds the same small number of extra diagonals as the drawn panels do, but they meet the panel's border at different points than the completed diagram shows, so its crossing is not the one figure (X) is built from.
Cross-check: Figure 2 adds only as many diagonals as the panels already drawn use, meeting at a single interior point the same way — dropping it into the blank panel keeps the triangle count and crossing consistent across the whole of figure (X), exactly as the completed diagram below confirms.
Answer: figure 2 completes the pattern.
