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GATE 2025 BT – Question 32

General Biology · Biochemistry: Enzymes, classification, catalytic and regulatory strategies, Michaelis-Menten kinetics and inhibition · 1 mark · Numerical answer

Within the Michaelis-Menten framework, the ratio of $v_0/V_{max}$ when [S] = 20 $\times$ $K_m$ is ______. (Round off to two decimal places)

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Correct answer: 0.94 to 0.96

Explanation

$\frac{v_0}{V_{max}} = \frac{[S]}{K_m + [S]} = \frac{20K_m}{K_m + 20K_m} = \frac{20}{21} = 0.95$.