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24 Feb 2026, 10:29
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D
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:
17% (02:08) correct
83%
(02:48)
wrong
based on 42
sessions
History
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Time
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Not Attempted Yet
Each correctional facility in a certain state has the same number of interns, and each facility has interns of each sex, but no two facilities have the same number of female interns. If Lockwood Correctional Facility has 22% of the female interns in the state, does Lockwood have less than 20% of the male interns in the state?
(1) Lockwood has less than 22% of the state’s male interns.
(2) There are 5 correctional facilities in the state.
only if you are shooting for DI 88 +
Otherwise, skip it !!!
(1) Lockwood has less than 22% of the state’s male interns.
(2) There are 5 correctional facilities in the state.
only if you are shooting for DI 88 +
Otherwise, skip it !!!
05 Apr 2026, 12:49
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plz explain how A is sufficient
05 Apr 2026, 21:35
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Each correctional facility in a certain state has the same number of interns, and each facility has interns of each sex, but no two facilities have the same number of female interns. If Lockwood Correctional Facility has 22% of the female interns in the state, does Lockwood have less than 20% of the male interns in the state?
Key points:
Each correctional facility ... has the same number of interns
no two facilities have the same number of female interns
Since male + female = total for each facility, if no two facilities have the same number of female interns, then it must also be the case that no two facilities have the same number of male interns.
(1) Lockwood has less than 22% of the state’s male interns.
We know from the passage that "Lockwood ... has 22% of the female interns in the state."
Now, this statement tells us that Lockwood has less than 22% of the state’s male interns.
Combined, that information means that Lockwood has less than 22% of all the interns in the state.
We know from the passage that each facility has the same number of interns. So, since Lockwood has less than 22%, each of the facilities has less than 22%.
So, let's think about what that means. If each has less than 22% and each has the same number, then each must have the same percentage less than 20% such that an integer number times that percentage is 100%.
The highest such number is 20%. So, the highest percentage each could have is 20%.
Now, if Lockwood has 22% of the female interns and can have at most 20% of the total number of interns, Lockwood must have less than 20% of the male interns to balance out Lockwood's having over 20% of female interns and thus leave Lockwood with, at max, 20% of all the interns.
Sufficient.
(2) There are 5 correctional facilities in the state.
This statement in combination with the information from the passage that "Each correctional facility ... has the same number of interns" indicates that each facility has 20% of the interns.
From the passage, we know that Lockwood has 22% of the female interns.
Thus, for Lockwood to have 20% of all male and female interns, Lockwood must have less than 20% of the male interns to balance out Lockwood's having over 20% of female interns and thus leave Lockwood with 20% of all the interns.
Sufficient.
Correct answer: D
Key points:
Each correctional facility ... has the same number of interns
no two facilities have the same number of female interns
Since male + female = total for each facility, if no two facilities have the same number of female interns, then it must also be the case that no two facilities have the same number of male interns.
(1) Lockwood has less than 22% of the state’s male interns.
We know from the passage that "Lockwood ... has 22% of the female interns in the state."
Now, this statement tells us that Lockwood has less than 22% of the state’s male interns.
Combined, that information means that Lockwood has less than 22% of all the interns in the state.
We know from the passage that each facility has the same number of interns. So, since Lockwood has less than 22%, each of the facilities has less than 22%.
So, let's think about what that means. If each has less than 22% and each has the same number, then each must have the same percentage less than 20% such that an integer number times that percentage is 100%.
The highest such number is 20%. So, the highest percentage each could have is 20%.
Now, if Lockwood has 22% of the female interns and can have at most 20% of the total number of interns, Lockwood must have less than 20% of the male interns to balance out Lockwood's having over 20% of female interns and thus leave Lockwood with, at max, 20% of all the interns.
Sufficient.
(2) There are 5 correctional facilities in the state.
This statement in combination with the information from the passage that "Each correctional facility ... has the same number of interns" indicates that each facility has 20% of the interns.
From the passage, we know that Lockwood has 22% of the female interns.
Thus, for Lockwood to have 20% of all male and female interns, Lockwood must have less than 20% of the male interns to balance out Lockwood's having over 20% of female interns and thus leave Lockwood with 20% of all the interns.
Sufficient.
Correct answer: D
