Let the total number of days be x,
Given that 6+ cakes are sold on x/5 days
(1) On 75% of the days that less than 6 cakes were sold, the number of cakes sold each day was less than 4.
From this statement, on 75%(of remaining days) * \(\frac{4x}{5}\) = \(\frac{3x}{5}\) days
This is 60% of the total days, on which the bakery sells less than 4 cakes.
So,
the median will definitely be lesser than 4. Sufficient
(2) On 50% of the days that 4 or more cakes were sold, the number of cakes sold each day was 6 or more.[/quote]
From this statement, on 50% (of days 4+ were sold), the number of cakes sold are 6+.
Since from the question stem, we know that 6+ cakes were definitely sold on 20% of days,
4+ cakes will definitely be sold on 40%, making the sale of cakes on 60% of the total days more than 4.
The median will definitely be greater than 4. Sufficient(Option D)
_________________
You've got what it takes, but it will take everything you've got