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18 Apr 2025, 03:50
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (02:07) correct
20% (03:49) wrong based on 5 sessions
History
Date
Time
Result
Not Attempted Yet
Point A, B, and C all lie on a line. Point D is the midpoint of AB and E is the midpoint of BC; AB = 4 and BC = 10. Which of the following could be the length of AE ?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
20 Apr 2025, 01:19
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OE
The “could be” language in the question signals that there are multiple possible arrangements for the points on the number line. Because BC is longer than AB, it might be the case that A is to one side of B and C or that A is between B and C.
Using the information about the midpoints (D and E) and the lengths of the line segments, fill in all of the remaining information for the two number lines.
The diagrams show that AE has two possible lengths, 1 and 9, however, only 1 appears in the answer choices, so (A) is the correct answer.
Answer: A
GMAT-Club-Forum-xp6uyj0n.png [ 10.44 KiB | Viewed 256 times ]
GMAT-Club-Forum-uo0jcjui.png [ 26.6 KiB | Viewed 261 times ]
The “could be” language in the question signals that there are multiple possible arrangements for the points on the number line. Because BC is longer than AB, it might be the case that A is to one side of B and C or that A is between B and C.
Using the information about the midpoints (D and E) and the lengths of the line segments, fill in all of the remaining information for the two number lines.
The diagrams show that AE has two possible lengths, 1 and 9, however, only 1 appears in the answer choices, so (A) is the correct answer.
Answer: A
Attachment:
GMAT-Club-Forum-xp6uyj0n.png [ 10.44 KiB | Viewed 256 times ]
Attachment:
GMAT-Club-Forum-uo0jcjui.png [ 26.6 KiB | Viewed 261 times ]
