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Day 327: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 11 May 2023 S1 (same type asked 11 times) See all 11 of this type

    113
    The bacteria increase at the rate proportional to the number of bacteria present. If the original number N doubles in 8 hours, then the number of bacteria in 24 hours will be

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  2. Question 2

    Binomial Distribution. Asked once: 15 Apr 2026 S1 (same type asked 10 times) See all 10 of this type

    98
    The centers for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is 0.80.8. If 88 people are given this vaccine, then the probability that exactly 44 will develop immunity is...

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  3. Question 3

    Differential Equations. Asked once: 17 Apr 2026 S1 (same type asked 10 times) See all 10 of this type

    88
    For the differential equation (x2+y2) dy=xy dx(x^2 + y^2)\,dy = xy\,dx, it is given that y(1)=1y(1) = 1 and y(x0)=ey(x_0) = e, then the value of x0x_0 is ____

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  4. Question 4

    Limits. Asked once: 12 May 2026 S1 (same type asked 10 times) See all 10 of this type

    63
    lim⁡x→1[22x−2−2x+1sin⁡2(x−1)]=\lim_{x \to 1}\left[\dfrac{2^{2x-2} - 2^x + 1}{\sin^2(x - 1)}\right] =

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  5. Question 5

    Limits. Asked once: 25 Apr 2025 S1 (same type asked 10 times) See all 10 of this type

    133
    lim⁡x→52−2cos⁡(x2−12x+35)(x−5)=\lim_{x\rightarrow 5} \frac{\sqrt{2 - 2\cos\left( x^{2}- 12x+ 35 \right)}}{(x- 5)}=...... .

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