PYQ Vault

Day 304: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 25 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    126
    The negation of the statement "The triangle is an equilateral or isosceles triangle and the triangle is not isosceles and it is right angled" is

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  2. Question 2

    Mathematical Logic. Asked once: 21 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    134
    The correct simplified circuit diagram for the logical statement [{q∧(∼q∨r)}∧{∼p∨(p∧∼r)}]∨(p∧r)\mathbf{\lbrack\{ q \land ( \sim q \vee r)\} \land \{ \sim p \vee (p \land \sim r)\}\rbrack \vee (p \land r)} Where p,q,rp,q,r represents switches s1,s2,s3s_{1},s_{2},s_{3} respectively.

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  3. Question 3

    Determinants and Matrices. Asked once: 18 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    65
    Let A=[cos⁡α−sin⁡α0sin⁡αcos⁡α0001]A = \begin{bmatrix} \cos\alpha & -\sin\alpha & 0 \\ \sin\alpha & \cos\alpha & 0 \\ 0 & 0 & 1 \end{bmatrix}. If B=adj AB = \mathrm{adj}\,A, then the matrix B−1B^{-1} is equal to...

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  4. Question 4

    Indefinite Integration. Asked once: 17 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    79
    The value of ∫sin⁡3x(cos⁡4x+3cos⁡2x+1)tan⁡−1(sec⁡x+cos⁡x) dx\displaystyle\int\dfrac{\sin^3 x}{(\cos^4 x + 3\cos^2 x + 1)\tan^{-1}(\sec x + \cos x)}\,dx is

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  5. Question 5

    Determinants and Matrices. Asked once: 21 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    129
    The third element in the second row of adjoint of a matrix A=[aij]3×3A =\left\lbrack a_{ij} \right\rbrack_{3 \times 3} (where aij=2i+ja_{ij}= 2i + j ) is

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