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).
In an arithmetic progression, if S₄₀ = 1030 and S₁₂ = 57, then S₃₀ − S₁₀ is equal to :
Let A = [a_(ij)] be a square matrix of order 2 with entries either 0 or 1. Let E be the event that A is an invertible matrix. Then the probability P(E) is :
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