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04 Nov 2022, 01:30
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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:
5%
(low)
Question Stats:
92% (00:57) correct
8%
(01:39)
wrong
based on 50
sessions
History
Date
Time
Result
Not Attempted Yet
Jim can drive from his home to his office by one of the two possible routes. If he must also return by one of these routes, what is the distance of the longer route ?
(1) When he drives from his home to his office by the shorter route, he drives a total of 10 kilometers.
(2) When he drives from his home to his office by the longer route and returns by the shorter route, he drives a total of 24 kilometers.
(1) When he drives from his home to his office by the shorter route, he drives a total of 10 kilometers.
(2) When he drives from his home to his office by the longer route and returns by the shorter route, he drives a total of 24 kilometers.
04 Nov 2022, 05:27
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Bunuel
Solution:
Pre Analysis:
- Let the length of longer and shorter routes be \(L\) and \(S\) respectively
- We area sked the value of \(L\)
Statement 1: When he drives from his home to his office by the shorter route, he drives a total of 10 kilometers
- Accoriding to this statement, \(S=10\)
- However, this doesn't give us the value of \(L\)
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: When he drives from his home to his office by the longer route and returns by the shorter route, he drives a total of 24 kilometers
- Accoridng to this statement, \(L+S=24\)
- However, this doesn't give us the value of \(L\)
- Thus, statement 2 alone is also not sufficient
Combining:
- From statement 1, we have \(S=10\)
- From statement 2, we have \(L+S=24\)
- Upon combining, we can easily say \(L=14\)
Hence the right answer is Option C
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