In the following diagram the boys who are athletic and are disciplined are…

In a Venn diagram built from overlapping shapes, each shape stands for one category, and a region belongs to a category only if it lies inside that category's shape. A person who satisfies several conditions at once - for example, being a boy, being athletic, and being disciplined - must lie in the region common to all three of those shapes, not just one or two of them.

1. From the legend, the rectangle stands for Boys, the circle for Athletics, the triangle for Girls, and the square for Disciplined.

2. The region that needs to be identified must lie inside the rectangle (Boys), inside the circle (Athletics), AND inside the square (Disciplined) at the same time.

3. Tracing the diagram, only the region labelled 2 lies inside all three of these shapes together.

Checking the near-miss regions confirms this:

• Region 1 lies inside the rectangle (Boys) and the square (Disciplined), but it lies outside the circle, so it fails the athletic condition.

• Region 6 lies inside the circle (Athletics) and the square (Disciplined), but it lies outside the rectangle, so it fails the boys condition.

Only region 2 satisfies all three conditions simultaneously, confirming it as the correct answer.