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Data Sufficiency (DS) | Re: GMAT Club World Cup 2022 (DAY 2): List A consists of n integers. One

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Statement 1: Sum of the numbers in list A is odd
Let's take a set with minimum numbers
A = {0,1,2} and B = {0,2} then the average is 1 for both set
A = {0,1,2} and B = {0,1} then the average is not thesame.
Insufficient

Statement 2: Exactly half of the numbers in list A is positive
Take set
A= {-1,0,1} and B = {-1,0} then the average is not same.
A= {-1,0,1} and B = {-1,1} then the average issame.
Insufficient

Combining both statements
Take set A- {-1,0,1,3} Average is 3/4 = 3/4
Take
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