Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 4)
4.
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
0
1
10
19
Answer: Option
Explanation:

Average of 20 numbers = 0.

Sum of 20 numbers (0 x 20) = 0.

It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).

Discussion:
135 comments Page 10 of 14.

Mahesh Reddy said:   1 decade ago
If the numbers are -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 then the average is 0.

In this case 10 numbers is greater than 0.

STALIN said:   1 decade ago
Average = sum of quantities/number of quantities.

If average is zero mean how sum of quantities will greater than zero please explain me.

Jossams Mabeti said:   1 decade ago
I have also read the explanations above but don't understand very well how you get 19.

Vinay said:   1 decade ago
@Pavani.

Actually I think we don't take negative values.

But in the question it is given that average is 0 so obviously negative values will come into picture.

Pavani said:   1 decade ago
I have read all the explanation above. But got one doubt. Do we take -ve values while doing averages?

How we assume that the 20th number as -19. Please explain.

Sumeet said:   1 decade ago
Lets consider negative 19 numbers whose sum is -20 and consider there is only one positive number '20', then we will get average of 0.

Here, number greater than zero is only one.

So I think que. is technically not correct :p.

Rajesh said:   1 decade ago
This answer is not a understand so clearly the sum and clean explain. How this answer is possible?

Madhu yadav said:   1 decade ago
The answer can be any of the positive number which cannot be defined. Because we can make different assumptions based on our view through which we are seeking the problem. Options may not be available regarding the question.

Ganesh said:   1 decade ago
I agree with @Swathy, there might be 10 +ve nos. and 10 -ve nos.

And questions says at most nos. greater than 0 i.e., at most +ve nos. i.e., maximum +ve nos. then it can be 10 too, why 19 then.

Whats at most means actually, according to me its maximum, please tell me.

Karthik said:   1 decade ago
The question says how many "MAY BE" greater than zero. SO all the numbers MAY BE zero so none are greater than zero so the answer is zero.


Post your comments here:

Your comments will be displayed after verification.