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 3 of 14.
Tarun said:
1 decade ago
Hey Jeevanandham ans will never 20,.
Because if all 20 numbers are positive then their avg will never be zero,.
And Vamsikrishna according to question they ask about numbers greater than zero.
So you cant put zero,.
Because zero equals to zero, not greater than zero.
Because if all 20 numbers are positive then their avg will never be zero,.
And Vamsikrishna according to question they ask about numbers greater than zero.
So you cant put zero,.
Because zero equals to zero, not greater than zero.
(1)
Sudharshan said:
1 decade ago
Here in this question they asked about the almost that means max numbers of numbers those are greater than 0.
>>> So 19 is the answer because we are not considering the 0 because he asked >0.
>>> If he ask about min number of numbers we can say 1.
>>> So 19 is the answer because we are not considering the 0 because he asked >0.
>>> If he ask about min number of numbers we can say 1.
(1)
Ameer said:
1 decade ago
We have to atmost possible values to get sum is zero.
Let 19 num are from 1 to19 &their sum is 190 if we have 20th num as -190 we get total sum is zero.so avg is also zero.
We can have positive num whose range is {1<=num<=19}.hope u will understand.
Let 19 num are from 1 to19 &their sum is 190 if we have 20th num as -190 we get total sum is zero.so avg is also zero.
We can have positive num whose range is {1<=num<=19}.hope u will understand.
Ravi said:
8 years ago
Listen, guys.
Question is at most numbers are greater than zero. At most mean maximum.
So let's do.
Av of 20 no are zero.
Lets count.
0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19/20=0. Ok.
Count how many no are greater than zero? 19 then answer is 19.
Question is at most numbers are greater than zero. At most mean maximum.
So let's do.
Av of 20 no are zero.
Lets count.
0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19/20=0. Ok.
Count how many no are greater than zero? 19 then answer is 19.
(1)
Prathamesh Sahastrabuddhe said:
9 months ago
@All.
It's like;
2+2+2+2+(-8) = 0 (sum) ;
3+3+(-6) = 0 (sum) ;
1 + 2 + 3....….... + 19 + (-190) = 0(sum) ;
So, the average is 0/20= 0.
So, it is quite possible that 19 of these numbers may be positive and if their sum is a then the 20th number is (-a).
It's like;
2+2+2+2+(-8) = 0 (sum) ;
3+3+(-6) = 0 (sum) ;
1 + 2 + 3....….... + 19 + (-190) = 0(sum) ;
So, the average is 0/20= 0.
So, it is quite possible that 19 of these numbers may be positive and if their sum is a then the 20th number is (-a).
(13)
Amin Ullah said:
9 years ago
While the actual answer is 20.
Suppose all 20 numbers are of value =1 then,
1+1+1....till 20. Thier sum will be 20.
Avg=sum of all number/total number.
Avg= 20/20.
= 0.
So, as for question is concern there is no option with 20. The nearest 19 will do.
Suppose all 20 numbers are of value =1 then,
1+1+1....till 20. Thier sum will be 20.
Avg=sum of all number/total number.
Avg= 20/20.
= 0.
So, as for question is concern there is no option with 20. The nearest 19 will do.
Satyam said:
9 years ago
Hi,
In this question, they are asking about the number which is at most (it means maximum numbers which are greater than 0).
So, (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1) + (-19) /20.
I hope you got it.
In this question, they are asking about the number which is at most (it means maximum numbers which are greater than 0).
So, (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1) + (-19) /20.
I hope you got it.
Ameer said:
1 decade ago
We can't get sum zero with out a -ve number. The cases are
Pos Neg
1 19
2 18
and so on..
19 1
Here he given that max +ve values to get sum is zero soa ans is 19.
Pos Neg
1 19
2 18
and so on..
19 1
Here he given that max +ve values to get sum is zero soa ans is 19.
Vrush said:
4 years ago
You are right. @Swathy.
But they are asking for at most means maximum how many numbers. You have taken 10 but till 19 numbers you can take then the sum will get cancelled by the 20th negative number. And the average becomes zero.
But they are asking for at most means maximum how many numbers. You have taken 10 but till 19 numbers you can take then the sum will get cancelled by the 20th negative number. And the average becomes zero.
(10)
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.
Here, number greater than zero is only one.
So I think que. is technically not correct :p.
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