GATE CS 2026 Set 1 — Question 8
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
For positive real numbers and , the function is defined as:The max function is defined as:The graph below shows the plot of a function
N(S) versus .N(S) can be expressed as _____.Correct answer
(A) H₁₀(S) - H₂₀(S)
Solution
The function represents a ramp function that is 0 for and increases with a slope of 1 for .The graph of
(A) :
N(S) shows:- For , .
- For ,
N(S)increases linearly from 0 to 10. The slope is . - For , (constant).
(A) :
- If : .
- If : . This is a line with slope 1 starting at 0. At , value is 10.
- If : . This is a constant value of 10.
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