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21 May 2023, 05:59
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B
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50% (01:34) correct
50%
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wrong
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A, B, and C are three cities that form a triangle, where every city is connected to every other city by at least one direct route. There are 48 routes direct & indirect from A to C, and there are 23 direct routes from B to A. How many direct routes can be there from A to C?
A. 24 or 1
B. 25 or 2
C. 26 or 3
D. 23 or 2 or 1
E. 20 or 3 or 2
Source : Wizako
A. 24 or 1
B. 25 or 2
C. 26 or 3
D. 23 or 2 or 1
E. 20 or 3 or 2
Source : Wizako
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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21 May 2023, 07:37
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Suraj0184
Attachment:
Screenshot 2023-05-21 195920.jpg
From the question premise we know -
- There is at least one direct route between B and C
- There is at least one direct route between A and C
- Total number of routes between A and C = Direct Routes + Indirect Routes = 48
- Number of direct routes between A and B = 23
Case 1: Only one direct route exists between B and C
Number of ways a person can traverse from A to C via B = 23 * 1 = 23
Therefore we have 23 indirect routes from A to C.
Number of direct routes = 48 - 23 = 25.
We can select the answer as B and move on as only one option has the value of 25. We need not evaluate further.
Option B
Option B
Case 2: Two direct routes exists between B and C
Number of ways a person can traverse from A to C via B = 23 * 2 = 46
Therefore we have 46 indirect routes from A to C.
Number of direct routes = 48 - 46 = 2.
Case 3: Three direct routes exists between B and C
Number of ways a person can traverse from A to C via B = 23 * 3 = 69
This case is not possible as the maximum number of direct + indirect routes between A and C is 48. We need not evaluate any further.
Option B
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
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