Which one of the patterns labelled P, Q, R, and S is used to generate the…

The given figure is formed by repeating one of the small patterns P, Q, R, or S horizontally. To identify the correct pattern, we need to compare the arrangement of the black and white blocks at the edges and inside the pattern with the repeated structure in the given figure.

A useful way to solve this type of question is:

1. Observe the top row of the given figure.

2. Check how the black blocks and gaps are arranged at the left and right boundaries of the candidate pattern.

3. Imagine placing the same pattern repeatedly side by side.

4. The correct option should reproduce the continuous black paths and white gaps without creating any mismatch at the joining points.

When the options are repeated horizontally:

• P does not maintain the required arrangement at the joining points. The black segments do not continue in the same configuration as seen in the given figure.

• Q reproduces the required sequence of black and white blocks. Its boundary arrangement allows the repeated units to connect exactly in the same manner as the given figure.

• R has a different internal arrangement of the vertical and horizontal black segments, so repeating it produces a different pattern.

• S also differs in the placement of its internal black segments and therefore cannot reproduce the given figure.

Thus, the pattern that generates the given figure is Q.

Correct Answer: B. Q