AVERAGE between 90 and 100%
means not including 90 and 100% but not including 90 or 100%
average=(sum of values in set)/(how many values in the set)
so 
4 exams, so there are 4 values
average=(sum)/4
the sum is the known+unknwon
sum=76+99+86+x
so
90<span><</span>average and average <span><</span>100
or
90<span><</span>average<span><</span>100
lets say average=a
a=sum/number
a=(76+99+86+x)/4
90<(76+99+86+x)/4<100
90<(76+99+86+x)/4 and (76+99+86+x)/4<100
solve each for x and find intersection
90<span><</span>(76+99+86+x)/4
times 4 both sides
360<span><</span>261+x
minus 261 both sides
99<span><</span>x
(76+99+86+x)/4<u><</u>100
times 4 both sides
261+x<u><</u>400
minus 261 both sides
x<u><</u>139
so
99<u><</u>x<u><</u>139
since max score is 100
99<u><</u>x<u><</u>100
interval notaion is 
[99,100]
answer is 2nd one
        
                    
             
        
        
        
Well, if you want the maximum number of splits, then you want to make 
each individual split as small as possible.  
That's 2/3 acre.  How many will that give you ?
                  (15 and 1/4) divided by (2/3) 
             =      (15.25)  /  (0.666...)  =  22.875 pieces .
The maximum number of 2/3-acre lots you can sell is 22 lots.
Then you have 58.3% of an acre of land left over that you can't sell 
because it's less than 2/3 acre.  Sadly, that 58.3% of an acre is just 
about the size of the lot that I've been living n for almost 30 years.  
You really know how to rub it in, dontcha !