GATE 2026 ST – Question 8

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Multiple choice

For positive S,K define H_K(S)=max(S−K,0), where max(a,b)=a for a>b and b otherwise. Express the plotted N(S).

H₁₀(S)−H₂₀(S)
H₁₀(S)−2H₂₀(S)
−H₁₀(S)+H₂₀(S)
H₁₅(S)−H₂₀(S)

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Show answer and explanation

Correct answer: (A) H₁₀(S)−H₂₀(S)

Explanation

The graph is zero until S=10, rises as S−10 from 10 to 20, and then stays at 10. H₁₀ starts the rise; subtracting H₂₀ removes its slope after 20 while leaving height 10. **A**.

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