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03 Jun 2021, 21:00
Kudos
Bookmarks
Must be
chosen: red convertible Cannot be
chosen: red pickup truck
chosen: red convertible Cannot be
chosen: red pickup truck
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (02:27) correct
36%
(02:30)
wrong
based on 1614
sessions
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Exactly four different toy cars will be chosen to serve as prizes at a child's birthday party. There are seven toy cars available: a yellow coupe, a green sedan, a red convertible, a black all-terrain vehicle, a gold utility vehicle, a silver hatchback, and a red pickup truck. Each toy car selected for the party must be a different color. If the green sedan is chosen for the party, then the red convertible must also be chosen. Exactly two of the following three cars must be chosen: the yellow coupe, green sedan, and red convertible.
Select a toy car that must be chosen for the party. Then select a toy car that cannot be chosen for the party. Make only two selections, one in each column.
Select a toy car that must be chosen for the party. Then select a toy car that cannot be chosen for the party. Make only two selections, one in each column.
|
Must be chosen |
Cannot be chosen |
|
| yellow coupe | ||
| green sedan | ||
| red convertible | ||
| black all-terrain vehicle | ||
| gold utility vehicle | ||
| red pickup truck |
ShowHide Answer
Official Answer
Must be
chosen: red convertible Cannot be
chosen: red pickup truck
chosen: red convertible Cannot be
chosen: red pickup truck
05 Jun 2021, 04:35
Kudos
Bookmarks
I have a doubt here here’s my analysis:
Condition 1:
Each toy car selected for the party must be a different color
Condition 2:
Exactly two of the following three cars must be chosen: the yellow coupe, green sedan, and red convertible.
Also we have 2 red color vehicle and other all different coloured. But as per condition 1, we know that we cannot have two same coloured vehicles so one red vehicle cannot be chosen.
As per condition 2, we can select exactly two of the three: yellow, green or red! Here I have choice to select any two. if I don’t choose red convertible still I can eliminate red pick up truck and all the vehicles will have different color
We can safely eliminate red pick up truck.
But why is red convertible “must be chosen”?
Thanks
Harsh Tandel
Posted from my mobile device
Condition 1:
Each toy car selected for the party must be a different color
Condition 2:
Exactly two of the following three cars must be chosen: the yellow coupe, green sedan, and red convertible.
Also we have 2 red color vehicle and other all different coloured. But as per condition 1, we know that we cannot have two same coloured vehicles so one red vehicle cannot be chosen.
As per condition 2, we can select exactly two of the three: yellow, green or red! Here I have choice to select any two. if I don’t choose red convertible still I can eliminate red pick up truck and all the vehicles will have different color
We can safely eliminate red pick up truck.
But why is red convertible “must be chosen”?
Thanks
Harsh Tandel
Posted from my mobile device
12 Dec 2021, 05:47
Kudos
Bookmarks
Harsh basically answered everything. I just wanted to solve his doubt.
As per condition 2, we can deduce 2 cases-
1. Yellow and red convertible
2. Green and red convertible
You have to pick from either of case as it is compulsory to pick 2 from the three cars.
Red convertible is fixed in both choices and since you can't repeat colours also. The red convertible is a "must be chosen".
As per condition 2, we can deduce 2 cases-
1. Yellow and red convertible
2. Green and red convertible
You have to pick from either of case as it is compulsory to pick 2 from the three cars.
Red convertible is fixed in both choices and since you can't repeat colours also. The red convertible is a "must be chosen".
