25 verified questions · ~38 minutes · answer key checked against the official NTA final key across multiple sources. Text-only questions (diagram-based excluded until they can be shown properly).
If the mean and the variance of 6, 4, a, 8, b, 12, 10, 13 are 9 and 9.25 respectively, then a + b + ab is equal to :
Let f : [1, ∞) → [2, ∞) be a differentiable function. If 10 ∫₁^x f(t) dt = 5x f(x) − x⁵ − 9 for all x ≥ 1, then the value of f(3) is :
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