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08 Feb 2020, 11:39
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D
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:
63% (01:50) correct
38%
(01:51)
wrong
based on 312
sessions
History
Date
Time
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Not Attempted Yet
Of the 48 people in a certain school with the birthdays this week, at most 8 people have their birthdays on any one given day. Does at least one person in the school have a birthday on Saturday?
(1) More of the people in the school have their birthday on Monday than on Tuesday.
(2) Seven of the people in the school have their birthday on Tuesday
(1) More of the people in the school have their birthday on Monday than on Tuesday.
(2) Seven of the people in the school have their birthday on Tuesday
09 Feb 2020, 09:19
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If no one has a Saturday birthday, we have 48 people with birthdays on the other six weekdays. If there are no more than 8 birthdays on any given weekday, that could only be possible if exactly 8 people have a birthday on each weekday besides Saturday. So if we can rule out the possibility that there are exactly 8 birthdays on every day besides Saturday, we'll know that someone must have a Saturday birthday.
Statement 1 tells us Monday and Tuesday have different numbers of birthdays, so they did not both have exactly 8 birthdays, and someone must therefore have a Saturday birthday. Statement 2 tells us there weren't 8 birthdays on Tuesday, and again we know someone had a Saturday birthday. So the answer is D.
Statement 1 tells us Monday and Tuesday have different numbers of birthdays, so they did not both have exactly 8 birthdays, and someone must therefore have a Saturday birthday. Statement 2 tells us there weren't 8 birthdays on Tuesday, and again we know someone had a Saturday birthday. So the answer is D.
16 Oct 2023, 00:55
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Of the 48 people in a certain school with the birthdays this week, at most 8 people have their birthdays on any one given day. Does at least one person in the school have a birthday on Saturday?
Even if 8 children's have birthdays on each day of the week then 6 days are sufficient for them to celebrate the birthday's. We have to prove that there is at least 1 day where less than 8 birthdays are celebrated, then it automatically implements that for all 7 days birthdays are celebrated.
(1) More of the people in the school have their birthday on Monday than on Tuesday.
The statement means that Birthday's on Monday > Birthday's on Tuesday.
So if on Monday there are 8 birthday's and on Tuesday there are 7 then sum is 47 and there will be 1 birthday on Saturday.
Sufficient
(2) Seven of the people in the school have their birthday on Tuesday
It makes the similar case like statement 1, Total Sum is 47 and last 1 left can celebrate birthday on Saturday.
Hence D.
Even if 8 children's have birthdays on each day of the week then 6 days are sufficient for them to celebrate the birthday's. We have to prove that there is at least 1 day where less than 8 birthdays are celebrated, then it automatically implements that for all 7 days birthdays are celebrated.
(1) More of the people in the school have their birthday on Monday than on Tuesday.
The statement means that Birthday's on Monday > Birthday's on Tuesday.
So if on Monday there are 8 birthday's and on Tuesday there are 7 then sum is 47 and there will be 1 birthday on Saturday.
Sufficient
(2) Seven of the people in the school have their birthday on Tuesday
It makes the similar case like statement 1, Total Sum is 47 and last 1 left can celebrate birthday on Saturday.
Hence D.
