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Day 98: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Permutations and Combinations. Asked 2 times: 21 Apr 2025 S1*, 19 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    55
    The maximum number of points of intersection between 44 circles and 44 straight lines is:

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  2. Question 2

    Permutations and Combinations. Asked 2 times: 9 May 2024 S1*, 19 May 2026 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    58
    Everyone in the room handshakes with everyone else. If the total number of handshakes is 66, then the number of persons in the room is...

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  3. Question 3

    Definite Integration. Asked 2 times: 26 Apr 2025 S1*, 15 May 2026 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    83
    The value of the integral ∫1/221xsin⁡101(x−1x)dx\int_{1/2}^{2}\dfrac{1}{x}\mathrm{\sin}^{101}\left(x - \dfrac{1}{x}\right) dx is equal to:

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  4. Question 4

    Differentiation. Asked 2 times: 11 Apr 2026 S2, 15 May 2026 S2 See all 2 times it was asked

    75
    If the derivative of tan⁡−1(a+bx)\tan^{-1}(a + bx) at x=0x = 0 is 11, then 1−b3+a61 - b^3 + a^6 is:

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  5. Question 5

    Mathematical Logic. Asked 2 times: 20 Apr 2025 S1, 15 May 2026 S2 See all 2 times it was asked

    66
    The statement (p∧(∼q))∨((∼p)∧q)∨((∼p)∧(∼q))(p \wedge (\sim q)) \vee ((\sim p) \wedge q) \vee ((\sim p) \wedge (\sim q)) is equivalent to :

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