PYQ Vault
EbooksTutor

Day 178: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 21 Apr 2025 S2 (same type asked 9 times) See all 9 of this type

    141
    The abscissae of the points of the curve y=x3y=x^{3} are in the interval [−2,2]\lbrack - 2,2\rbrack, where the slope of the tangents can be obtained by mean value theorem for the interval [−2,2]\lbrack - 2,2\rbrack are

    Tap an option to check your answer.

  2. Question 2

    Mathematical Logic. Asked once: 19 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    64
    Which of the following logical statements is a tautology?

    Tap an option to check your answer.

  3. Question 3

    Definite Integration. Asked once: 15 Apr 2026 S2 (same type asked 9 times) See all 9 of this type

    81
    ∫0π∣sin⁡2x∣ dx=\displaystyle\int_0^\pi|\sin 2x|\,dx =

    Tap an option to check your answer.

  4. Question 4

    Mathematical Logic. Asked once: 20 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    64
    Which of the following is/are not true ? I) If 1 is not a prime number, then 2 is not a prime number. II) e is a vowel and 12×3=3612 \times 3 = 36 III) It is not true that 14 is a composite number and 3 is even number. IV) 5\sqrt{5} is an irrational number, but 3+53 + \sqrt{5} is a complex number.

    Tap an option to check your answer.

  5. Question 5

    Differentiation. Asked once: 18 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    74
    If x exy=y+sin⁡2xx\,e^{xy} = y + \sin^2 x, then the value of dydx\dfrac{dy}{dx} at x=0x = 0 is equal to

    Tap an option to check your answer.