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).
Let the domains of the functions f(x) = log₄ log₃ log₇(8 − log₂(x² + 4x + 5)) and g(x) = sin⁻¹((7x + 10)/(x − 2)) be (α, β) and [γ, δ], respectively. Then α² + β² + γ² + δ² is equal to:
Let the mean and the standard deviation of the observations 2, 3, 3, 4, 5, 7, a, b be 4 and √2 respectively. Then the mean deviation about the mode of these observations is:
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