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Mathematics — Tier 3

Calculus, vectors, complex numbers, probability, and matrices for Classes XI–XII

Sample Practice Questions

  1. d/dx(log x) =

    • 1
    • 1/x
    • log(1)
    • x/log x
    Show answer

    Answer: 1/x

  2. The probability that both events A and B occur: P(A∩B) = P(A)×P(B) only when:

    • A and B are mutually exclusive
    • A and B are independent
    • A implies B
    • A and B are complementary
    Show answer

    Answer: A and B are independent

  3. The determinant of [[2,3],[1,4]] =

    • 11
    • 5
    • 8
    • −5
    Show answer

    Answer: 5

  4. lim(x→∞) (1 + 1/x)^x =

    • 1
    • e
    • ∞
    • e²
    Show answer

    Answer: e

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Practice Questions

Practise NGSE questions on Mathematics — Tier 3. Answers are revealed after each question.

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Frequently Asked Questions

What does Mathematics — Tier 3 cover in the NGSE exam?

Calculus, vectors, complex numbers, probability, and matrices for Classes XI–XII.

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