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Re: 12 Days of Christmas GMAT Competition - Day 7: Set A consists of disti
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21 Dec 2020, 05:49
Statement 1:
Since the list consists of distinct integers and the Avg of list A is 2.5, it will always have even number of terms. Below is a representation:
List can have {2,3}, {1,2,3,4}, {0,1,2,3,4,5}, {-1,0,1,2,3,4,5}, {-2,-1,0,1,2,3,5,6,7} and so on. Avg of all is 2.5.
Also once we go above 5 we will need a negative integer to balance the excess addition of positive integers. As represented in highlighted lists.
So, once we remove any integer from this list to create a list B, the average will always change.
Hence the averages of both list will be different.
Sufficient.
Statement 2:
No information on the average is given.
Case1: List A {5,6,10,2,3,4}, List B {6,10,2,3,4}, Average of both list is 5, we get a Yes
Case2: List A {5,6,10,2,3,4}, List B {5,10,2,3,4}, Average List A is 5, but that of List B is 4.8, we get a No
Insufficient
IMO Option A