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In a certain locality X on a river bank, every person

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chetan2u
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In a certain locality X on a river bank, every person [#permalink] New post   23 Apr 2024, 09:35
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95% (hard)

Question Stats:

27% (02:15) correct 73% (02:14) wrong based on 41 sessions
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In a certain locality X on a river bank, every person who has a dog at home also has a cat as a pet. Further, it is known that most of those who have cat as a pet do keep alligator as a pet. It has also been seen that most of those who keep cat have guests for at least 15 days in a month.

Statement: It can be said that ____1___ have guests  for ___2___ .

Select for 1 and for 2 the options that creates the most logical statement based on the information above. Make only two selections, one in each column.­
1 2
most of those who have alligator as pet
At least some of those who have alligator as pet
most of those who have dog as pet
more than 15 days in a month.
at least 10 days in a month.
less than 15 days in a month.
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1: At least some of those who have alligator as pet 2: at least 10 days in a month.
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Hacchuu
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Re: In a certain locality X on a river bank, every person [#permalink] New post   28 Apr 2024, 00:56
Every person with a dog also has a cat
Most people with a Cat also have an alligator => Some people with a cat don't have an alligator
Most people with an Alligator have guests for at least 15 days => Few people with an Alligator don't have guests for more than 15 days.

My Answer: It can be said that some of those who have a dog as a pet have guests for less than 15 days a month.
Why?
Given: Everyone who has a dog has a cat and most of them have an alligator out of which most houses get guests for 15 days minimum.

Which means:
Some who have a dog and a cat, don't have an alligator -> Cannot guess the number of days guests visit
Some who have a dog, cat and an alligator -> Have guests for less than 15 days or no guests at all.

This seems logical to me.

I'm not sure how we can infer the provided answer i.e. It can be said that some of those who have a cat as a pet have guests for at least 10 days a month.­

chetan2u Bunuel KarishmaB can you help explain please?­
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Re: In a certain locality X on a river bank, every person [#permalink] New post   29 Apr 2024, 09:54
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chetan2u wrote:
In a certain locality X on a river bank, every person who has a dog at home also has a cat as a pet. Further, it is known that most of those who have cat as a pet do keep alligator as a pet. It has also been seen that most of those who keep alligator have guests for at least 15 days in a month.

Statement: It can be said that ____1___ have guests  for ___2___ .

Select for 1 and for 2 the options that creates the most logical statement based on the information above. Make only two selections, one in each column.­

Either the question is not correct or I am missing something.
­ 
All who have a dog (say 10 people), have a cat (all 10 have a cat too). 
The reverse is not necessary. It doesn't mean that all who have a cat have a dog too. There could be many who have just cats. 

Most who have a cat (could be 1000 people who have a cat), have an alligator (more than 500 have an alligator).
The reverse is not necessary. Many people (say 10,000) could have just an alligator too. 

Most who have alligator (10,500 people have alligator), have guests for at least 15 days in a month (say 6000 have guests for at least 15 days a month)

Is it necessary that there has to be some overlap between these 6000 and the 1000 who have cats? No. 
I don't see how the answer is what is given. I can't conclude anything about people with cats. 
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Re: In a certain locality X on a river bank, every person [#permalink] New post   29 Apr 2024, 18:31
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Hacchuu wrote:
Every person with a dog also has a cat
Most people with a Cat also have an alligator => Some people with a cat don't have an alligator
Most people with an Alligator have guests for at least 15 days => Few people with an Alligator don't have guests for more than 15 days.

My Answer: It can be said that some of those who have a dog as a pet have guests for less than 15 days a month.
Why?
Given: Everyone who has a dog has a cat and most of them have an alligator out of which most houses get guests for 15 days minimum.

Which means:
Some who have a dog and a cat, don't have an alligator -> Cannot guess the number of days guests visit
Some who have a dog, cat and an alligator -> Have guests for less than 15 days or no guests at all.

This seems logical to me.

I'm not sure how we can infer the provided answer i.e. It can be said that some of those who have a cat as a pet have guests for at least 10 days a month.­

chetan2u Bunuel KarishmaB can you help explain please?­

­KarishmaB is spot on with her explanation. Let me modify the wordings to get an answer out of it.
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Re: In a certain locality X on a river bank, every person [#permalink] New post   29 Apr 2024, 18:55
All(Dog) = Cat

Most(Cat) = Alligator

Most (Cat) >= 15

Therefore, Some(Cat) = Not Alligator

Some Alligator= Not Cat

Choices

Some Alligator= <15 Days

Please explain atleast 10 Days logic?

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Re: In a certain locality X on a river bank, every person [#permalink] New post   29 Apr 2024, 19:54
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chetan2u wrote:
In a certain locality X on a river bank, every person who has a dog at home also has a cat as a pet. Further, it is known that most of those who have cat as a pet do keep alligator as a pet. It has also been seen that most of those who keep cat have guests for at least 15 days in a month.

Statement: It can be said that ____1___ have guests  for ___2___ .

Select for 1 and for 2 the options that creates the most logical statement based on the information above. Make only two selections, one in each column.­

­I will add a Venn Diagram too. 

1) Every person who has a dog at home also has a cat as a pet. => D is completely a part of C. D is a tiny part of C or almost equal to C, we cannot say.
2) Further, it is known that most of those who have cat as a pet do keep alligator as a pet. => More than 50% of the circle of C is covered by A. There could be A elsewhere too.
3) It has also been seen that most of those who keep cat have guests for at least 15 days in a month. => More than 50% of the circle of C is again covered by G. There could be G elsewhere too.

From 2 and 3 above, we get that there has to be some overlap at least between A and G. So, So, at least some of A is correct.
Now G is at least 15 days, so 'more than 15 days may be wrong'. It could be all are exactly 15 days we are not aware. However, at least 15 days is part of at least 10 days, so correct.

1: At least some of the aligator
2: at least 10 days 
 
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Re: In a certain locality X on a river bank, every person [#permalink]
29 Apr 2024, 19:54
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