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IMO Ans B

Stem: total of 600 mails from Monday to Friday

Statement I: Alice sent a total of 480 mails from Monday to Thursday.

This tells us nothing about the distribution of letters sent on the first day.This only helps extract number of letters sent on Firday i.e 600-480 = 120

Alice sent at least 120 mails each day from Monday to Friday.

Quickly checking the total number of letters that can be sent with average 120 mails daily yields exactly 600 mails.
As on none of the days the number of posted letters can be lesser than 120, it has to be 120 mails everyday. Hence, 120 mails on Monday.
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What was asking? : Find the number of mails sent on Monday, and I know that M + T + W + Th + F = 600.
5 variables, knowing T, W, Th, F gives me a value for M.


(I) The statement says that 480 + F = 600. Doesn't help, with this info I still dont know M.
(II) The minimum number of the daily mails is 120, and I know the daily average is 120 (600/5). If all the variables take the value of 120, the statment of the accumulated number is valid (600), but what happend if M takes a > 120 like this: 125 + 120 + 120 + 120 + 120 = 605.

But the total must be 600, so in other day Alice should have sent 5 less mails (eg: Friday = 115 mails); BUT THAT'S NO POSSIBLE, because (II) says that the minimun mails per day is 120. So the only solution is that the same quantity of mails were sent per day by Alice, and M = 120
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