HarkiratTalwar
45. Of the 66 people in a certain auditorium, at most
6 people have their birthdays in any one given month.
Does at least one person in the auditorium have a birthday in January?
(1)
More of the people in the auditorium have their birthday in February than in March.
(2)
Five of the people in the auditorium have their birthday in March.
Can someone explain why the answer to this isn’t E?
Based only question stem, it is possible that no one has a birthday in Jan:
Jan=0 Feb=6 Mar=6 Apr=6 May=6 Jun=6 Jul=6 Aug=6 Sep=6 Oct=6 Nov=6 Dec=6
Based on Statement 1, best case scenario is that 5 people have their birthday in March and 6 in Feb. So, even if there are 6 people with birthdays in all other months, there will still be one person left, whose birthday will have to be in Jan:
Jan=1 Feb=6 Mar=5 Apr=6 May=6 Jun=6 Jul=6 Aug=6 Sep=6 Oct=6 Nov=6 Dec=6
Based on Statement 2, 5 people have their birthday in March. So, even if there are 6 people with birthdays in all other months, there will still be one person left, whose birthday will have to be in Jan:
Jan=1 Feb=6 Mar=5 Apr=6 May=6 Jun=6 Jul=6 Aug=6 Sep=6 Oct=6 Nov=6 Dec=6
Hence, the answer will be D, each statement alone is sufficient to answer the question.
Hope this helps!