nitya34 wrote:check .jpg
OA------------------------------D
source-OG 11/12
There are 66 people and at most 6 people may have their birthdays in a given month. In order to answer the target question, we'll have to address the worst case scenario, if we can know some more about it.
(1) The worst case scenario here is that there are 6 people having their birthdays in February and 5 people having their birthdays in March. Keeping January aside, if each of the remaining 9 months have 6 people having their birthdays the same month, we meet a total of 6 + 5 + 9 (6) = 65 people who can be allotted to the 11 months other than January, which leaves at least 1 person having their birthday in January. [spoiler]
YES! Sufficient[/spoiler]
(2) Here again, the worst case scenario is that, keeping January aside, given 5 people have their birthdays in March, we can assign each of the remaining 10 months have 6 people having their birthdays the same month, thus we meet a total of 5 + 10 (6) = 65 people who can be allotted to the 11 months other than January, which leaves at least 1 person having their birthday in January. [spoiler]
YES! Sufficient
Pick D[/spoiler]