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Day 405: MHT-CET Maths

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

  1. Question 1

    Binomial Distribution. Asked once: May 2021 S1 (same type asked 10 times) See all 10 of this type

    146
    A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is defective is

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  2. Question 2

    Limits. Asked once: 23 Apr 2025 S1 (same type asked 10 times) See all 10 of this type

    109
    If f(x)=10x+7x−14x−5x1−cos⁡x,x≠0f(x) =\frac{10^{x}+7^{x}-14^{x}-5^{x}}{1 - \cos x},x\neq 0 is continuous at x=0x= 0, then the value of f(0)f(0) is

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  3. Question 3

    Linear Programming. Asked once: 9 May 2023 S2 (same type asked 10 times) See all 10 of this type

    101
    The maximum value of z=4x+2yz = 4x + 2y, subject to the constraints 3x+4y≥12,x+y≤5,x,y≥03x + 4y \geq 12, x + y \leq 5, x, y \geq 0 is

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  4. Question 4

    Applications of Definite Integral. Asked once: 11 May 2023 S2 (same type asked 10 times) See all 10 of this type

    109
    The area (in sq. units) of the region bounded by y−x=2y-x=2 and x2=yx^2=y is equal to

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  5. Question 5

    Limits. Asked once: 14 May 2024 S2 (same type asked 10 times) See all 10 of this type

    150
    The function ff defined on [−13,13]\left[-\frac{1}{3},\frac{1}{3}\right] by f(x)={1xlog⁡1+3x1−2x,x≠0k,x=0f(x) = \begin{cases}\frac{1}{x}\log\frac{1+3x}{1-2x}, & x\neq0\\k, & x=0\end{cases} is continuous at x=0x=0, then kk is

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