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May 1308:30 AM PDT
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In Episode 4 of our GMAT Ninja CR series, we tackle the most intimidating CR question type: Boldface & "Legalese" questions. If you've ever stared at an answer choice that reads, "The first is a consideration introduced to counter a position that...
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07 May 2026, 02:12
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X: 50%
Y: 22%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
5% (02:06) correct
95%
(02:35)
wrong
based on 96
sessions
History
Date
Time
Result
Not Attempted Yet
A management education program offers courses in four main disciplines — Marketing, Finance, Operations, and Strategy. A student who opts for three or more courses in one discipline is awarded a concentration in that discipline. A student may, therefore, concentrate in multiple disciplines or in none of the four disciplines. 50% of students concentrated in Marketing, 25% concentrated in Finance, 30% concentrated in Operations, 60% concentrated in Strategy.
X represent the maximum possible percentage of students who may have concentrated in three or more of the four disciplines.
Y represent the minimum possible percentage of students who may have concentrated in two or more of the four disciplines.
Select the appropriate values of X and Y from the following options:
X represent the maximum possible percentage of students who may have concentrated in three or more of the four disciplines.
Y represent the minimum possible percentage of students who may have concentrated in two or more of the four disciplines.
Select the appropriate values of X and Y from the following options:
| X | Y | % Students |
| 22% | ||
| 25% | ||
| 30% | ||
| 50% | ||
| 65% |
ShowHide Answer
Official Answer
X: 50%
Y: 22%
07 May 2026, 21:33
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Total counts = 50 + 25 + 30 + 60 = 165 (for 100 students)
Extra counts beyond 100 = 65 → represent overlaps.
X (max students in 3+ disciplines)
To maximize 3+ overlap, we pack overlaps efficiently into 3-discipline students.
Max feasible = 25%
Y (min students in 2+ disciplines)
To minimize 2+ students, we push overlap into fewer people but cannot avoid at least 30% being in 2+ disciplines.
Final Answer:
X = 25%
Y = 30%
Extra counts beyond 100 = 65 → represent overlaps.
X (max students in 3+ disciplines)
To maximize 3+ overlap, we pack overlaps efficiently into 3-discipline students.
Max feasible = 25%
Y (min students in 2+ disciplines)
To minimize 2+ students, we push overlap into fewer people but cannot avoid at least 30% being in 2+ disciplines.
Final Answer:
X = 25%
Y = 30%
