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bhanu29
Joined: 02 Oct 2024
Last visit: 16 May 2026
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Location: India
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17 Feb 2026, 08:13
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Dropdown 1: 52
Dropdown 2: 124
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (02:46) correct
23%
(03:08)
wrong
based on 534
sessions
History
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Not Attempted Yet
Refer to the pictograph reflecting the academic degrees obtained by all the members of a cultural club. The three circles represent the number of residents with high school degree, bachelor's degree, and master's degree respectively. Each member of the club carries a minimum qualification of a high school degree. Any person carrying a bachelor's degree also carries a high school degree, and any person carrying a master's degree also carries a bachelor's degree and high school degree. The legends A, B, and C represent the number of people currently not working in the respective categories whereas the legends D, E, and F represent the number of people currently working in the respective categories.
Use the dropdown menus to complete the statements accurately, using the information provided in the diagram.
members of the group either carry master's degree and are currently not working or do not carry bachelor's or higher degree and are currently working.
members of the group carry bachelor's degree but not master's degree.
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Official Answer
Dropdown 1: 52
Dropdown 2: 124
bhanu29
Joined: 02 Oct 2024
Last visit: 16 May 2026
Posts: 368
Own Kudos:
Given Kudos: 264
Location: India
Schools: Anderson '27 Booth '27 Foster '27 Haas '27 Kellogg Ross '27 Tepper '27 Sloan (MIT) Stanford '27 CBS '27 NYU Stern Johnson (Cornell) McCombs '27
GMAT Focus 1: 675 Q87 V85 DI79
GMAT Focus 2: 715 Q87 V84 DI86
GPA: 9.11
WE:Engineering (Technology)
Products:
Schools: Anderson '27 Booth '27 Foster '27 Haas '27 Kellogg Ross '27 Tepper '27 Sloan (MIT) Stanford '27 CBS '27 NYU Stern Johnson (Cornell) McCombs '27
GMAT Focus 2: 715 Q87 V84 DI86
Posts: 368
Kudos:
301
17 Feb 2026, 08:15
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bhanu29
I.
Number of members of the group who carry master's degree and are currently not working = C = 32
Number of members of the group who do not carry bachelor's or higher degree and are currently working = D = 20
Required set = 32 + 20 = 52
Hence, 52 is the correct answer choice.
II.
Number of members of the group who carry bachelor's degree but not master's degree = B and E = 24 + 100 = 124
Hence, 124 is the correct answer choice.
19 Feb 2026, 05:12
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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.
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.
