A family consists of four members: a mother, a father, and two children, Alan and Christie. Each member has specific conditions for attending outings. The father will only go on the outing if Christie goes. He will also only attend if it rains or if it is a holiday. However, Christie will not go if Alan goes, and both Christie and Alan prefer to stay home to watch the latest series on their OTT service during holidays. Tired of the other family members' preferences, the mother decides to attend based on the outcome of a coin flip; she will only go if the coin shows tails.
Given that the father attended one such outing, select one statement that must be true and one that must not be true from the options below that are jointly consistent with the information provided. Make only two selections, one in each column.
Let's begin by listing the relevant constraints.
- The father will only go on the outing if Christie goes.
- He will also only attend if it rains or if it is a holiday.
- Christie will not go if Alan goes
- both Christie and Alan prefer to stay home to watch the latest series on their OTT service during holidays.
- the mother decides to attend based on the outcome of a coin flip; she will only go if the coin shows tails.
Also, we have to keep in mind the constraint in the question stem.
the father attended one such outing
Now, let's consider the answer choices.
It was a holiday that day.
Scanning the constraints for any involving a holiday, we see the following:
- both Christie and Alan prefer to stay home to watch the latest series on their OTT service during holidays.
Related to Christie and the father, we also see the following:
- The father will only go on the outing if Christie goes.
We see that, if it was a holiday, Christie would not have gone, in which case the father would not have gone either.
So, given that the father did go, we know for sure that it was not a holiday that day.
Select for Must NOT be true.
The coin flipped by the mother showed a tail.
Regarding the coin flip and the mother, we see no connection between them and whether the father goes.
So, this choice is unrelated to the father's attending the outing and thus neither must be true nor must not be true.
Eliminate.
The father was accompanied by exactly one more family member.
Since the father will go only if Christie goes, we know that the father was accompanied by at least one more family member, Christie.
We also know that Alan didn't go because the passage says the following:
- Christie will not go if Alan goes
At the same time, the mother may or may not also have attended, depending on the outcome of her coin flip.
Thus, it may or may not be true that the father was accompanied by exactly one more family member.
Eliminate.
It was raining that day.
Regarding "raining," we see in the constraints the following:
- He (the father) will also only attend if it rains or if it is a holiday.
We've already determine that the day must NOT have been a holiday because on a holiday Christie would not go, in which case the father would not go.
So, since the father would have attended only if it was raining or if it is a holiday, it must have been raining.
Select for Must be true.
We've already found the two correct answers, but we can confirm that the last choice is not correct.
The mother did not go on the outing.
The only factor that causes the mother to go or not go is a coin flip.
Also, the passage does not indicate any relationship between whether the father or children go and whether the mother goes.
So, the coin flip is the only factor related to whether the mother goes.
Thus, since we don't have information the coin flip, it may or may not be true that the mother went.
Eliminate.
Correct answer: It was raining that day., It was a holiday that day.