rjanardhanan wrote:On any given Saturday, flights arrive to XYZ airport every hour for 24 hours. If the average number of flights arriving at XYZ airport on any Saturday is a multiple of 12, is the total number of flights that arrived on any Saturday greater than 180 ?
On the same Saturday, the median number of flight arrivals every hour is 17.
On the same Saturday, the highest number of flight arrivals in an hour was 30.
I'm assuming that the target question involves the number of flights on a certain Saturday (and not "any" Saturday)
Target Question:
Is the total number of flights that arrived on a certain Saturday greater than 180?
Statement 1: The median number of flight arrivals every hour is 17.
Saturday has 24 hours, so if we arranged the flights each hour in ascending order, then the median would equal the average (mean) of the 12th value and the 13th value.
If the median is 17, then values 13 to 24 are each greater than or equal to 17.
In other words, 12 of the values are greater or equal than to 17
Since 12x17=204, we can be certain that
the total number of flights that arrived on a certain Saturday greater than 180
Statement 1 is SUFFICIENT
Statement 2: The highest number of flight arrivals in an hour was 30.
Well, it could be the case that 1 hour had 30 flights and every other hour had 0 flights, in which case
the total number of flights that arrived on a certain Saturday is not greater than 180
Or it could be the case that
every hour had 30 flights, in which case
the total number of flights that arrived on a certain Saturday is greater than 180
Statement 2 is INSUFFICIENT
The answer is
A
Cheers,
Brent
