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 6 of 14.

Praneeth said:   8 years ago
Let assume 10 numbers above 0 (2,3,4,5,6,7,8,9,10).

The remaining 10 numbers are - ve (-2,-3,-4,-5,-6,-7,-9,-10).

Why can 10 be the answer?

Rav said:   1 decade ago
@Sandeep.

They have asked "AT MOST how many numbers, may be greater than 0". At most, as in maximum how many numbers can be greater than 0.

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.

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.

Himanshu arora said:   9 years ago
What about the answer if the question would be, "The average of 20 numbers is zero. Of them, at least, how many may be greater than zero"?

Kathir Vtv said:   1 decade ago
20 numbers = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1-19/20.

= 0/20.

So total numbers are greater then 0 is 19.

Answer is 19.

Aditya said:   5 years ago
It may be possible that all numbers are negative and only one is positive like
(-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1+19)/20 = 0.
(1)

Arpita Saxena said:   9 years ago
But can it also be like;

All numbers are 0.
Therefore sum =0,
And sum/20 = avg.
Therefore 0/20 = 0.

Hence 0 be the answer.

SOUMYADEEP said:   5 years ago
Here, it is asked that, how many numbers may be greater than 0 and not will be greater than 0! please explain the difference?

Dsp said:   9 years ago
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1 + 1 + 1 + 1 + 1 - 19 = 0.

+ve numbers are 19, So, D is the answer.


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