Based on the given Venn diagram, which of the following statement(s) is/are…

Concept

In a numerical Venn diagram, each labelled shape stands for one whole set, and a number belongs to that set if it lies anywhere inside that shape's boundary — including any overlap region it shares with another shape. “Even which are not Letters” means the numbers that sit inside the Even shape but outside the Letters shape.

Reading the diagram

The three shapes are: Even (the horizontal rectangle), Odd (the vertical rectangle) and Letters (the circle). Placing each value by where it sits:

• 8 — inside the Even rectangle only.

• 2 — inside both the Even rectangle and the Odd rectangle.

• 3 — inside all three: Even, Odd and Letters.

• 4 — inside the Even rectangle and the Letters circle.

• 16 — inside the Letters circle only.

• 6 — inside the Odd rectangle only.

Statement I — total of Odd

The Odd shape is the vertical rectangle, which encloses 2, 3 and 6. Their total is computed step by step:

1. Numbers inside the Odd rectangle: 2, 3 and 6.

2. Add them: 2 + 3 = 5.

3. 5 + 6 = 11.

The Odd total is 11, but Statement I claims it is 10. Since 11 ≠ 10, Statement I is incorrect.

Statement II — Even that are not Letters

Take the numbers inside the Even rectangle and remove any that also fall inside the Letters circle:

1. Even numbers: 8, 2, 3 and 4.

2. Of these, 3 and 4 also lie inside the Letters circle, so they are excluded.

3. Remaining (Even but not Letters): 8 and 2.

4. Add them: 8 + 2 = 10.

This total is 10, exactly as Statement II claims, so Statement II is correct.

Result

The question asks which statement(s) is/are incorrect. Only Statement I fails the diagram, so the correct choice is “Only I”.