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25 Feb 2019, 01:47
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C
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:
77% (01:25) correct
23%
(01:49)
wrong
based on 180
sessions
History
Date
Time
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Not Attempted Yet
The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
A. 15
B. 25
C. 35
D. 105
E. 125
A. 15
B. 25
C. 35
D. 105
E. 125
Updated on: 17 May 2021, 08:25
Originally posted by BrentGMATPrepNow on 25 Feb 2019, 08:50.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:25, edited 1 time in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:25, edited 1 time in total.
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Bunuel
The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
A. 15
B. 25
C. 35
D. 105
E. 125
A. 15
B. 25
C. 35
D. 105
E. 125
Here's a sketch of what the map COULD look like:
So, we are basically trying to find the length of the THIRD SIDE of a triangle.
We can apply this rule: If two sides of a triangle have lengths A and B, then . . .
DIFFERENCE between A and B < length of third side < SUM of A and B
We get: 65 - 40 < length of side AC < 65 + 40
Simplify to get: 25 < length of side AC < 105
Check the answer choices....
Only answer choice C is BETWEEN 25 and 105
Answer: C
Cheers,
Brent
RELATED VIDEO
General Discussion
26 Feb 2019, 00:49
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Bunuel
The townships of Addington and Bordenview are 65 miles apart, and Clearwater is 40 miles from Bordenview. If the three towns do not lie on a straight line, which of the following could be the distance from Addington to Clearwater?
A. 15
B. 25
C. 35
D. 105
E. 125
A. 15
B. 25
C. 35
D. 105
E. 125
abc all lie not on straight line so they are all present likewise triangular points
so
65+40= 105 and 65-40 ; 25
A to C will be between 105 to 25
only value 35 IMO C
