amitdgr wrote:
The average of 4 different positive integers is 125 and the largest of these integers is 150, what is the least possible value of the smallest of the 4 integers?
(A) 1
(B) 2
(C) 12
(D) 53
(E) 100
Source: GMAT Club Tests - hardest GMAT questions
sum of 4 integers a,b,c and d is 125*4 =500
given that a=150 => b+c+d = 350
The smallest integer d cant be 1 ? what if b= 300 and c = 49,
150 + 300 + 49 + 1 = 500
the average still remains 125. What am i missing here ?
It's given that all four numbers are different. As average is given to be 125, one number must be less than 125 and this number will be least when other three numbers will be maximum. So, three greatest numbers which we can assume will be 150,149, and 148. Now we have to find out the number which should be added to these three numbers and divided by 4 and it should give 125.
=> 125=150+149+148+least number/4
=>500-447=Least number
=>53= Least number