The Average of 20 Numbers is Zero. Of them, at the Most, How Many May GMAT Problem Solving

Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

1. 0
2. 1
3. 10
4. 19
5. 18

‘The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?’ - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide Quantitative Review". To solve GMAT Problem Solving questions a student must have knowledge about a good number of qualitative skills.
In GMAT Problem Solving section, examiners measure how well the candidates make analytical and logical approaches to solve numerical problems. In this section, candidates have to evaluate and interpret data from a given graphical representation. In this section, mostly one finds out mathematical questions. Five answer choices are given for each GMAT Problem solving question. 

Solution and Explanation:

Approach Solution 1:

There is only one way to solve this problem.
Given:

• The average of 20 numbers is zero.

Find Out:

• Of them, at the most, how many may be greater than zero?

So for the total 20 no.s the avg = 0
This means sum = 0
Now, this also means there are equal -ve and +ve integers
This would be possible -10 to 10 range only
so max +10 is possible in case of consecutive number.
But here it can be sum of 1-19 integers and -ve value of its sum so avg 0
So the maximum number can be 19.
Hence, D is the correct answer.

Correct Answer: D

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