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Dropdown 1: pays on exit
Dropdown 2: presented a valid University student ID
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
41% (02:14) correct
59%
(02:11)
wrong
based on 3209
sessions
History
Date
Time
Result
Not Attempted Yet
A certain city's bus system includes several stops within a University campus. The city has devised a new plan to decrease the amount of time bus drivers devote to receiving payments at the busy University stops. Under the new plan, outlined in the diagram, passengers would pay upon entry, pay upon exit, or ride free, depending on the time of day, on their boarding and departure locations, and on whether they present a valid University student identification card (ID).
Select from each drop-down menu the option that creates the most accurate statement based on the information provided.
According to the diagram, under the new plan, if a bus passenger , then that passenger must not have .
ID: 700207
ShowHide Answer
Official Answer
Dropdown 1: pays on exit
Dropdown 2: presented a valid University student ID
This question tests our understanding of necessary and sufficient conditions.
Looking a the table we notice that:
1. Not Boarding between 6AM and 6PM is a SUFFICIENT condition to pay on entry.
2. Presenting a valid university ID card is a SUFFICIENT condition to ride free.
3. Not presenting a valid university ID card is a NECESSARY condition to pay on exit.
Now in question the result conditions has happened and only necessary condition goes like:
Only if A, then B
Implies: B-->A and ~A-->~B
Only one option matches our necessary condition
chetan2u KarishmaB Sajjad1994 pls tell if my approach is correct?
Looking a the table we notice that:
1. Not Boarding between 6AM and 6PM is a SUFFICIENT condition to pay on entry.
2. Presenting a valid university ID card is a SUFFICIENT condition to ride free.
3. Not presenting a valid university ID card is a NECESSARY condition to pay on exit.
Now in question the result conditions has happened and only necessary condition goes like:
Only if A, then B
Implies: B-->A and ~A-->~B
Only one option matches our necessary condition
chetan2u KarishmaB Sajjad1994 pls tell if my approach is correct?
Quote:
Here is the complete video solution: https://youtu.be/EwWZUiKLAZk
How to arrive at the answer quickly:
According to the diagram, under the new plan, if a bus passenger pays on entry/exit/free , then that passenger must not have boarded at Univ / valid Univ ID / between 6:00 am to 6:00 pm.
We have to choose one of pays on entry or exit or rides free and that must lead to a necessary condition.
Note the given flowchart - Two arrows lead to 'pay on entry' and 'free ride' but only one arrow leads to 'pay on exit.' Hence the necessary condition will come from 'pay on exit'.
Think about this:
A could lead to E and B could lead to E. So if E happens, what is necessary? Neither A nor B. Either one could have led to E. This is the case when two arrows lead to say 'pay on entry'
If only C could lead to E, then if E happens, we know that C must have happened.
If a bus passenger pays on exit, it means he followed this route ->
Boarded bus between 6:00 am and 6:00 pm -> No valid student ID -> Boarded at University stop -> Did not exit at University stop
Of the given options, we choose 'presented a valid Univ student ID'
According to the diagram, under the new plan, if a bus passenger pays on exit, then that passenger must not have presented a valid Univ ID. ANSWER
Check out conditionals here:
https://youtu.be/MmlwcTlHZz8
https://youtu.be/BW8Ijrhjjq8
https://youtu.be/yQYkL1DSslA
