Quant Exam > Quant Questions > Define the functions:A(x, y, z) = Max (max (x...
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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.
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.
The highest value amongst the following will be
- a)Max/Min
- b)A/B
- c)C/D
- d)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
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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.
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:-
We cannot determine this because it would depend on whether the integers x, y, and z are positive
or negative.
or negative.
Most Upvoted Answer
Define the functions:A(x, y, z) = Max (max (x, y), min (y, z) min (x, ...
Understanding the Functions
The functions A, B, C, and D are defined using max and min operations on three distinct integers x, y, and z. Each function operates differently based on the combinations of max and min values.
Function Breakdown
- **A(x, y, z)**:
- A = Max(max(x, y), min(y, z) * min(x, z))
- **B(x, y, z)**:
- B = Max(max(x, y), min(y, z) * max(x, z))
- **C(x, y, z)**:
- C = Max(min(x, y), min(y, z) * min(x, z))
- **D(x, y, z)**:
- D = Min(max(x, y), max(y, z) * max(x, z))
Evaluating the Highest Value
To determine which of these functions outputs the highest value, we analyze their structure:
- **Max/Min**:
- Max(x, y, z) and Min(x, y, z) are straightforward and yield the highest and lowest values among the three integers.
- **A/B vs. C/D**:
- Functions A and B involve max operations mixed with min, creating potential for higher or lower outcomes based on the specific values of x, y, and z.
- Functions C and D also mix max and min, but their outcomes depend heavily on the interplay of the values involved.
Conclusion
Given the complexity and variety of outputs from each function based on distinct integers, we cannot definitively conclude which function yields the highest value without specific inputs. Thus, the correct answer is option 'D': **Cannot be determined**. This reflects the inherent unpredictability when distinct integers are chosen due to varying interactions between max and min operations.
The functions A, B, C, and D are defined using max and min operations on three distinct integers x, y, and z. Each function operates differently based on the combinations of max and min values.
Function Breakdown
- **A(x, y, z)**:
- A = Max(max(x, y), min(y, z) * min(x, z))
- **B(x, y, z)**:
- B = Max(max(x, y), min(y, z) * max(x, z))
- **C(x, y, z)**:
- C = Max(min(x, y), min(y, z) * min(x, z))
- **D(x, y, z)**:
- D = Min(max(x, y), max(y, z) * max(x, z))
Evaluating the Highest Value
To determine which of these functions outputs the highest value, we analyze their structure:
- **Max/Min**:
- Max(x, y, z) and Min(x, y, z) are straightforward and yield the highest and lowest values among the three integers.
- **A/B vs. C/D**:
- Functions A and B involve max operations mixed with min, creating potential for higher or lower outcomes based on the specific values of x, y, and z.
- Functions C and D also mix max and min, but their outcomes depend heavily on the interplay of the values involved.
Conclusion
Given the complexity and variety of outputs from each function based on distinct integers, we cannot definitively conclude which function yields the highest value without specific inputs. Thus, the correct answer is option 'D': **Cannot be determined**. This reflects the inherent unpredictability when distinct integers are chosen due to varying interactions between max and min operations.
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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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.The highest value amongst the following will bea)Max/Minb)A/Bc)C/Dd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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