Can you explain the answer of this question below:
The average of 20 numbers is zero. Of them, How many of them may be greater than zero , at the most?
A:
1
B:
20
C:
0
D:
19
The answer is D.

Question

Can you explain the answer of this question below:The average of 20 numbers is zero. Of them, How many of them may be greater than zero , at the most?A:1B:20C:0D:19The answer is D.

Answer

As the average is always equals or greater than least value in given data therefore one data must be 0.So others can be greater than 0.So answer is 19.

Answer

Simple way to think: Imagine a tug of war competition with 10 people on each side. So if we have only one 'Khali' on left side, you will need 19 other people to counter him to nullify (0) the force(averaging)

Answer

Let a be the 1st no, b the 2nd , and so on.... so, (a+b+c+......20th.number)/20=0 or, a+b+c+......20th.number = 0 if the 1st 19 nos are > 0 then, 20th.number is -(a+b+c+......19th.number), to obtain sum as 0. therefore, at max 19 nos can be > 0

Answer

I

Answer

**Given Information:**
- There is a group of 20 students.
- The average marks of the group is reduced by 4 when the topper, who scored 90 marks, is replaced by a new student.

**To find:**
- The marks obtained by the new student.

**Solution:**

Let's assume the total marks obtained by the 20 students before the replacement is X.

**Step 1: Calculate the average before the replacement:**

The average marks before the replacement is given by:
Average = Total Marks / Number of Students

So, the average before the replacement is:
X / 20

**Step 2: Calculate the average after the replacement:**

When the topper, who scored 90 marks, is replaced by a new student, the total marks obtained by the group will be reduced by 90.

So, the total marks after the replacement is:
X - 90

The number of students remains the same, i.e., 20.

Therefore, the average after the replacement is:
(X - 90) / 20

**Step 3: Calculate the difference in averages:**

According to the given information, the average is reduced by 4 after the replacement.

So, the difference in averages is:
(X / 20) - ((X - 90) / 20) = 4

Simplifying the equation, we have:
(X - (X - 90)) / 20 = 4
90 / 20 = 4
4.5 = 4

This equation is not possible.

Hence, there is no solution to this problem.

Therefore, the question is incorrect and there is no answer to find.

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