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Define the functions:
A(x, y, z) = Max (max (x, y), min (y, z) min (x, z))
B(x, y, z) = Max (max (x, y), min (y, z) max (x, z))
C(x, y, z) = Max (min (x, y), min (y, z) min (x, z))
D(x, y, z) = Min (max (x, y), max (y, z) max (x, z))
Max (x, y, z) = Maximum of x, y and z.
Min (x, y, z) = Minimum of x, y and z.
Assume that x, y and z are distinct integers.
Q.
For what condition will A(x, y, z) be equal to Max (x, y, z)?
  • a)
    When x is maximum
  • b)
    When y is maximum
  • c)
    When z is maximum
  • d)
    Either (a) or (b)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Define the functions:A(x, y, z) = Max (max (x, y), min (y, z) min (x, ...
A(x, y, z) = Max (max (x, y), min (y, z) min (x, z))
B(x, y, z) = Max (max (x, y), min (y, z) max (x, z))
C(x, y, z) = Max (min (x, y), min (y, z) min (x, z))
D(x, y, z) = Min (max (x, y), max (y, z) max (x, z))
Max (x, y, z) = Maximum of x, y and z.
Min (x, y, z) = Minimum of x, y and z.
Assume that x, y and z are distinct integers.
Ans:-
When either x or y is maximum.
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Most Upvoted Answer
Define the functions:A(x, y, z) = Max (max (x, y), min (y, z) min (x, ...
Explanation:
To find the condition where A(x, y, z) is equal to Max(x, y, z), we need to compare the two functions and see when they produce the same output.

Function A(x, y, z) = Max(max(x, y), min(y, z), min(x, z))
This function takes three integers as input and returns the maximum value among the maximum of x and y, the minimum of y and z, and the minimum of x and z.

Function Max(x, y, z) = Maximum of x, y and z
This function takes three integers as input and returns the maximum value among x, y, and z.

Comparing the two functions:
To find the condition where A(x, y, z) is equal to Max(x, y, z), we can compare the individual components of the two functions.

Let's compare the maximum of x and y in both functions:
- A(x, y, z) considers the maximum of x and y.
- Max(x, y, z) also considers the maximum of x and y.

So, the condition where A(x, y, z) is equal to Max(x, y, z) is when the maximum of x and y is the same.

Now, let's compare the other components of the two functions:
- A(x, y, z) considers the minimum of y and z and the minimum of x and z.
- Max(x, y, z) does not consider the minimum values.

Since the two functions have different components, the condition for equality is only related to the maximum of x and y.

Conclusion:
The condition where A(x, y, z) is equal to Max(x, y, z) is when the maximum of x and y is the same. This means that either x or y can be the maximum value for the functions to be equal. Therefore, the correct answer is option 'D' - Either (a) or (b).
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Define the functions:A(x, y, z) = Max (max (x, y), min (y, z) min (x, z))B(x, y, z) = Max (max (x, y), min (y, z) max (x, z))C(x, y, z) = Max (min (x, y), min (y, z) min (x, z))D(x, y, z) = Min (max (x, y), max (y, z) max (x, z))Max (x, y, z) = Maximum of x, y and z.Min (x, y, z) = Minimum of x, y and z.Assume that x, y and z are distinct integers.Q.For what condition will A(x, y, z) be equal to Max (x, y, z)?a)When x is maximumb)When y is maximumc)When z is maximumd)Either (a) or (b)Correct answer is option 'D'. Can you explain this answer?
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