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?
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 4 of 14.
Sai said:
8 years ago
@All.
Why we think only one no is negative, let we think maybe 10 numbers -ve; i.e 10 numbers less than zero and 10 numbers is +ve i.e 10 numbers greater than zero. so the avg of -10 numbers and +10 numbers is equal to zero.
Why we think only one no is negative, let we think maybe 10 numbers -ve; i.e 10 numbers less than zero and 10 numbers is +ve i.e 10 numbers greater than zero. so the avg of -10 numbers and +10 numbers is equal to zero.
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.
Hemavathi said:
9 years ago
To get a value zero we can use,
(Sum of 19 positive numbers) - (-Value of sum)/(Sum of 18 positive numbers) - (Value of sum),
Here, the maximum probability of positive number is 19 (at most),
So the answer is 19.
(Sum of 19 positive numbers) - (-Value of sum)/(Sum of 18 positive numbers) - (Value of sum),
Here, the maximum probability of positive number is 19 (at most),
So the answer is 19.
Vamsikrishna said:
1 decade ago
You said that it is average of 20 numbers, avg is sum of num's/number of nums.....but how does the answer suits by doing a multiplication...if all the num's r zeros the ans shud be (0+0+0..............+0)/20....
Naim said:
1 decade ago
Hi, even i didn't understood the question asked and solution provided. Even if one number is greater than zero than average has to change then howcome stil zero and especially answer provided 19.
Pls explain
Pls explain
Vinay said:
7 years ago
The positive numbers from 1 to 14 addition is 105.
The negative numbers i.e. 15, 16, 17, 18, 19, 20 is -105;.
So, the sum of these numbers is 0. And average is zero hence It can only 14 positive numbers.
The negative numbers i.e. 15, 16, 17, 18, 19, 20 is -105;.
So, the sum of these numbers is 0. And average is zero hence It can only 14 positive numbers.
Nanthakumar said:
2 years ago
First 1-19 numbers = each number is -1.
Therefore Adding these numbers the answer is = -19.
Then the 20th number is +19.
Therefore -19+19 = 0
The average of 20 numbers is 0/20=0
Therefore Adding these numbers the answer is = -19.
Then the 20th number is +19.
Therefore -19+19 = 0
The average of 20 numbers is 0/20=0
(15)
N A said:
5 years ago
Here, it is asked that at the most, how many may be greater than zero.
So let see.
(1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1-19)/20 = 0.
Now see it's 19 number which is greater 0.
So let see.
(1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1-19)/20 = 0.
Now see it's 19 number which is greater 0.
(3)
Saif said:
1 year ago
At max,
1 + 2 + 3....….... + 19 + (-190) = 0(sum)
So, the average is 0/20= 0.
Therefore at most 19 numbers can be greater than zero & 1 number will be less than it.
1 + 2 + 3....….... + 19 + (-190) = 0(sum)
So, the average is 0/20= 0.
Therefore at most 19 numbers can be greater than zero & 1 number will be less than it.
(16)
Nagesh said:
6 years ago
When the sum of +ve no.'s = sum of -ve no.'s.
Then Average is Zero.
Sum of Maximum possible.
+ve/-ve numbers = -ve/+ve number.
Hence avg is zero.
And the answer is 19.
Then Average is Zero.
Sum of Maximum possible.
+ve/-ve numbers = -ve/+ve number.
Hence avg is zero.
And the answer is 19.
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