PYQ Vault

Day 344: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 9 May 2023 S2 (same type asked 6 times) See all 6 of this type

    116
    Negation of the statement 'Horses have wings if and only if crows have tails.' is

    Tap an option to check your answer.

  2. Question 2

    Trigonometric Functions. Asked once: 10 May 2024 S2 (same type asked 6 times) See all 6 of this type

    132
    The value of tan⁡−1(1)+cos⁡−1 ⁣(−12)+sin⁡−1 ⁣(−12)\tan^{-1}(1)+\cos^{-1}\!\left(-\dfrac{1}{2}\right)+\sin^{-1}\!\left(-\dfrac{1}{2}\right) is

    Tap an option to check your answer.

  3. Question 3

    Line and Plane. Asked once: 11 May 2024 S2 (same type asked 6 times) See all 6 of this type

    106
    If the line x−12=y+13=z−24\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{4} meets the plane x+2y+3z=15x+2y+3z=15 at the point P, then the distance of P from the origin is:

    Tap an option to check your answer.

  4. Question 4

    Permutations and Combinations. Asked once: 3 May 2023 S2 (same type asked 6 times) See all 6 of this type

    130
    A committee of 11 members is to be formed from 8 males and 5 females. If mm is the number of ways the committee is formed with at least 6 males and nn is the number of ways the committee is formed with at least 3 females, then

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: 18 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    85
    The integrating factor of the differential equation xdydx+2y=x2log⁡xx\dfrac{dy}{dx} + 2y = x^2\log x is

    Tap an option to check your answer.