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07 May 2026, 06:13
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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:
55%
(hard)
Question Stats:
64% (01:59) correct
36%
(02:19)
wrong
based on 45
sessions
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Not Attempted Yet
In the Hartshorn Building, most but not all of the third floor offices are larger than any office on the second floor. The fourth-floor offices are all larger than any office on the second floor. However, all the second-floor offices are larger than any office on the first floor.
If the statements above are true, which one of the following must also be true?
(A) Some first-floor offices are as large as the smallest fourth-floor offices.
(B) Some first-floor offices are as large as the smallest third-floor offices.
(C) Some third-floor offices are not as large as the largest first-floor offices.
(D) Some third-floor offices are not as large as the smallest fourth-floor offices.
(E) Some fourth-floor offices are not as large as the largest third-floor offices.
If the statements above are true, which one of the following must also be true?
(A) Some first-floor offices are as large as the smallest fourth-floor offices.
(B) Some first-floor offices are as large as the smallest third-floor offices.
(C) Some third-floor offices are not as large as the largest first-floor offices.
(D) Some third-floor offices are not as large as the smallest fourth-floor offices.
(E) Some fourth-floor offices are not as large as the largest third-floor offices.
07 May 2026, 07:07
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I think option D must be true.
Here’s how I visualized it:
4th floor > 2nd floor > 1st floor
For the 3rd floor, the passage says “most but not all” offices are larger than any office on the 2nd floor.
That means:
• most 3rd-floor offices > all 2nd-floor offices
• but at least one 3rd-floor office is NOT larger than every 2nd-floor office
And since every 4th-floor office is larger than every 2nd-floor office, the smallest 4th-floor office is still bigger than all 2nd-floor offices.
So that weaker/smaller 3rd-floor office must be smaller than at least some 4th-floor offices.
That directly supports option D:
“Some third-floor offices are not as large as the smallest fourth-floor offices.”
---
Why the other choices are not guaranteed:
(A) Nothing connects 1st-floor offices to the size of the smallest 4th-floor office.
(B) Same issue. We cannot conclude anything comparing 1st-floor offices with the smallest 3rd-floor offices.
(C) This reverses the comparison too strongly.
All 2nd-floor offices are larger than all 1st-floor offices, but the passage never says any 3rd-floor office is smaller than a 1st-floor office.
(E) We do not know whether some 4th-floor offices are smaller than the largest 3rd-floor offices.
It is possible that all 4th-floor offices are larger than all 3rd-floor offices.
So D is the only statement that must be true based on the relationships given.
— Rajdeep
Here’s how I visualized it:
4th floor > 2nd floor > 1st floor
For the 3rd floor, the passage says “most but not all” offices are larger than any office on the 2nd floor.
That means:
• most 3rd-floor offices > all 2nd-floor offices
• but at least one 3rd-floor office is NOT larger than every 2nd-floor office
And since every 4th-floor office is larger than every 2nd-floor office, the smallest 4th-floor office is still bigger than all 2nd-floor offices.
So that weaker/smaller 3rd-floor office must be smaller than at least some 4th-floor offices.
That directly supports option D:
“Some third-floor offices are not as large as the smallest fourth-floor offices.”
---
Why the other choices are not guaranteed:
(A) Nothing connects 1st-floor offices to the size of the smallest 4th-floor office.
(B) Same issue. We cannot conclude anything comparing 1st-floor offices with the smallest 3rd-floor offices.
(C) This reverses the comparison too strongly.
All 2nd-floor offices are larger than all 1st-floor offices, but the passage never says any 3rd-floor office is smaller than a 1st-floor office.
(E) We do not know whether some 4th-floor offices are smaller than the largest 3rd-floor offices.
It is possible that all 4th-floor offices are larger than all 3rd-floor offices.
So D is the only statement that must be true based on the relationships given.
— Rajdeep
07 May 2026, 10:45
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In the Hartshorn Building, most but not all of the third floor offices are larger than any office on the second floor. The fourth-floor offices are all larger than any office on the second floor. However, all the second-floor offices are larger than any office on the first floor.
If the statements above are true, which one of the following must also be true?
The key phrase is “most but not all.” That means at least one third floor office is not larger than every second floor office. So at least one third floor office is no larger than some second floor office. Since every fourth floor office is larger than every second floor office, that third floor office must be smaller than the smallest fourth floor office.
(A) Some first-floor offices are as large as the smallest fourth-floor offices.
Wrong. Every fourth floor office is larger than every second floor office, and every second floor office is larger than every first floor office. So no first floor office can be as large as a fourth floor office.
(B) Some first-floor offices are as large as the smallest third-floor offices.
Wrong. We do not know this. The smallest third floor office could still be larger than every first floor office.
(C) Some third-floor offices are not as large as the largest first-floor offices.
Wrong. The third floor office that is not larger than every second floor office could still be larger than every first floor office.
(D) Some third-floor offices are not as large as the smallest fourth-floor offices.
Correct. At least one third floor office is no larger than some second floor office, and every fourth floor office is larger than every second floor office. So at least one third floor office is not as large as the smallest fourth floor office.
(E) Some fourth-floor offices are not as large as the largest third-floor offices.
Wrong. The passage does not tell us that any third floor office is larger than any fourth floor office.
Answer: (D)
If the statements above are true, which one of the following must also be true?
The key phrase is “most but not all.” That means at least one third floor office is not larger than every second floor office. So at least one third floor office is no larger than some second floor office. Since every fourth floor office is larger than every second floor office, that third floor office must be smaller than the smallest fourth floor office.
(A) Some first-floor offices are as large as the smallest fourth-floor offices.
Wrong. Every fourth floor office is larger than every second floor office, and every second floor office is larger than every first floor office. So no first floor office can be as large as a fourth floor office.
(B) Some first-floor offices are as large as the smallest third-floor offices.
Wrong. We do not know this. The smallest third floor office could still be larger than every first floor office.
(C) Some third-floor offices are not as large as the largest first-floor offices.
Wrong. The third floor office that is not larger than every second floor office could still be larger than every first floor office.
(D) Some third-floor offices are not as large as the smallest fourth-floor offices.
Correct. At least one third floor office is no larger than some second floor office, and every fourth floor office is larger than every second floor office. So at least one third floor office is not as large as the smallest fourth floor office.
(E) Some fourth-floor offices are not as large as the largest third-floor offices.
Wrong. The passage does not tell us that any third floor office is larger than any fourth floor office.
Answer: (D)
