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Day 448: MHT-CET Maths

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

  1. Question 1

    Measures of Dispersion. Asked once: 3 May 2023 S2

    140
    A student scores the following marks in five tests: 54, 45, 41, 43, 57. His score is not known for the sixth test. If the mean score is 48 in six tests, then the standard deviation of marks in six tests is

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  2. Question 2

    Pair of Straight Lines. Asked once: 14 May 2024 S1

    120
    The perpendiculars are drawn to lines L1L_1 and L2L_2 from the origin making an angle π4\dfrac{\pi}{4} and 3π4\dfrac{3\pi}{4} respectively with positive direction of X-axis. If both the lines are at unit distance from the origin, then their joint equation is:

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  3. Question 3

    Permutations and Combinations. Asked once: 11 Apr 2026 S2

    52
    The number of ways that 8 beads of different colours can be strung to form a necklace is

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  4. Question 4

    Probability Distribution. Asked once: 18 Apr 2026 S1

    99
    Let F(x)F(x) be the cumulative distribution function (c.d.f.) of a continuous random variable XX. If F(b)=0.7F(b) = 0.7 and P(X>a)=0.4P(X > a) = 0.4, then the value of P(a<X<b)P(a < X < b) is ...

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  5. Question 5

    Sequences and Series. Asked once: 10 May 2023 S1

    111
    S1=∑r=1nr,  S2=∑r=1nr2S_1=\sum_{r=1}^n r,\;S_2=\sum_{r=1}^n r^2 and S3=∑r=1nr3S_3=\sum_{r=1}^n r^3, then the value of lim⁡n→∞S1 ⁣(1+S3)4S22\lim_{n\to\infty}\frac{S_1\!\left(1+S_3\right)}{4S_2^2} is

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