PYQ Vault

Day 275: MHT-CET Maths

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

  1. Question 1

    Binomial Distribution. Asked once: 18 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    98
    A fair die is thrown 4 times. If getting a prime number on the die is considered as a success, then the probability of getting no success at all is …\ldots

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  2. Question 2

    Applications of Derivative. Asked once: 19 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    76
    If the rate of increase of surface area of a spherical balloon is 5 cm2/sec5\ \mathrm{cm^2/sec} and rate of increase of volume of a spherical balloon is 10 cm3/sec10\ \mathrm{cm^3/sec}, then the radius of the balloon at that time is...

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  3. Question 3

    Definite Integration. Asked once: 19 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    82
    If [x][x] is the greatest integer function not greater than xx, then the value of ∫02x[x2] dx\int_0^2 x[x^2]\,dx is...

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  4. Question 4

    Differentiation. Asked once: 19 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    72
    Let x=at2−1x = at^2 - 1, where a>0a > 0 and y=t3+1y = t^3 + 1. If at t=1t = 1, d2ydx2=316\dfrac{d^2y}{dx^2} = \dfrac{3}{16}, then the value of aa is...

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  5. Question 5

    Mathematical Logic. Asked once: 18 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    61
    The contrapositive of the statement pattern [p∨(p→q)]→(p∧∼q)[p \vee (p \to q)] \to (p \wedge \sim q) is

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