What are the values of A and B in the given circular diagram?

Steps to Solve

1. Identify relationships between numbers Observe the existing numbers in the diagram to find patterns or relationships. Each segment connects with others, which might follow specific additive or multiplicative rules.

2. Analyze the outer segments with the inner values Let's take a closer look at the combinations:

   • For example, consider the segment with 120, and look at adjacent segments:
     • $120 = 15 \times 8$
     • $A$ is adjacent to 8. Thus, if we follow the same multiplicative pattern, we might explore what relationship could apply to A.

3. Explore the value of B using a similar method Next, focus on the segments to find connections for $B$. For instance, observe:

   • $B$ is near 70.
   • Using numbers in combination, we can see if there's a pattern, like observing how the numbers create a supporting equation.

4. Solve for A and B based on established patterns Using the relationships identified, perform calculations to arrive at possible values for A and B. If $15 \times 8 = 120$, validate if any other relationships yield consistent results with the other segments.

5. Cross-verify A and B against provided options After finding values for A and B, cross-check with the options given in the problem to ensure they match.