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21 Nov 2018, 05:03
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:20) correct
19%
(01:27)
wrong
based on 216
sessions
History
Date
Time
Result
Not Attempted Yet
Two points A and B are connected to each other via three paths, as shown in the figure. A person needs to make a round trip from A to B and then back to A, using any of the three paths. What is the ratio of the possible total distances covered, if he never uses the same path for both onward and return journey?
- A. 20: 24: 30
B. 20: 25: 27
C. 22: 24: 27
D. 22: 25: 30
E. 22: 25: 27
21 Nov 2018, 06:42
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For every path from A to B we have two path to return ( As same path cannot be used)
Case-1
Path from A to B 12 miles
Coming back either using 10 miles or 15 miles
So distance covered can be either 22 or 27 miles
Case-2
Path from A to B 10 miles
Coming back either using 12 miles or 15 miles
So distance covered can be either 22 or 25 miles
Case-3
Path from A to B 15 miles
Coming back either using 10 miles or 12 miles
So distance covered can be either 25 or 27 miles
In any case ratio of total distance covered will be 22:25:27
Answer E.
Case-1
Path from A to B 12 miles
Coming back either using 10 miles or 15 miles
So distance covered can be either 22 or 27 miles
Case-2
Path from A to B 10 miles
Coming back either using 12 miles or 15 miles
So distance covered can be either 22 or 25 miles
Case-3
Path from A to B 15 miles
Coming back either using 10 miles or 12 miles
So distance covered can be either 25 or 27 miles
In any case ratio of total distance covered will be 22:25:27
Answer E.
23 Nov 2018, 07:16
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Solution
Given:
- • There are three paths between A and B
• A person needs to take a round trip between A and B
• He can use any of the three paths, but he will use different paths for onward and return journeys
To find:
- • The ratio of all the possible distances that he covers
Approach and Working:
- • Distance covered in path, I + II = 12 + 10 = 22 miles
• Distance covered in path, II + III = 10 + 15 = 25 miles
• Distance covered in path, I + III = 12 + 15 = 27 miles
Therefore, ratio of possible distances covered = 22: 25: 27
Hence the correct answer is Option E.
Answer: E
