Key Concept: Graphs and Tables — Nested Set Interpretation
This is a classic G&T question where the diagram looks complex but breaks down cleanly once you map the regions. The key insight is that the three circles are nested (not overlapping independently) — every master's degree holder also has a bachelor's and high school degree.
Reading the diagram correctly:
The legend splits each education category into Not Working (A, B, C) and Working (D, E, F):
— A = 44: High school only, not working
— B = 24: Bachelor's only (not master's), not working
— C = 32: Master's degree, not working
— D = 20: High school only, working
— E = 100: Bachelor's only (not master's), working
— F = 180: Master's degree, working
Statement I — "carry master's degree AND not working" OR "do NOT carry bachelor's/higher AND working"
First group: C = 32 (master's degree, not working)
Second group: D = 20 (high school only = no bachelor's/higher, working)
Total = 32 + 20 = 52 ✓
Statement II — "carry bachelor's degree but NOT master's degree"
This is the ring between bachelor's and master's circles — B and E:
= 24 + 100 = 124 ✓
The trap: The most common mistake is treating the circles as independent Venn diagram regions instead of nested sets. "Bachelor's but not master's" means you want B + E only — not all bachelor's degree holders (which would include master's holders too). The nesting structure is everything here.
Also worth flagging: "do not carry bachelor's or higher" in Statement I specifically means high school only (zones A and D), so you're looking at D = 20 for the working subset. Students sometimes accidentally include bachelor's holders here.
Takeaway: In nested-circle G&T questions, always map out which region each label refers to before calculating — five seconds of diagram-reading saves you from combining the wrong groups.