Bunuel
A jumbo box of candies has 15 rows with 10 spaces for candies in each row, how many candies are in the box?
(1) There is an average (arithmetic mean) of 6 empty spaces in the first 8 rows.
(2) There is an average (arithmetic mean) of 9 empty spaces in the last 7 rows.
There is a jumbo box of candies, with 15 rows and 10 spaces per row for candies.
So, the total number of candies that can be stored in the box = 15*10 = 150 candies.
We need to find: Number of Candies in the box.
Statement 1:
(1) There is an average (arithmetic mean) of 6 empty spaces in the first 8 rows.
In the first 8 rows, the number of empty spaces = 6*8 = 48 empty spaces.
Amongst the 80 spaces available in the initial 8 rows, 48 are empty spaces and (80-48) = 32 are filled with candies.
Since, we don’t know about the remaining 7 rows.
Insufficient Statement 2:
(2) There is an average (arithmetic mean) of 9 empty spaces in the last 7 rows.
The last 7 rows has a total of 70 slots.
63 slots = 7*9 are empty.
Filled in slots = 70 - 63 = 7 candies. We don’t have any data about the initial 8 rows. Hence,
Insufficient Combining, both statements 1 and 2, we get
The number of candies = 32+7 = 39 candies.
Hence,
Sufficient Option C