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Day 405: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 27 Jul 2022 (same type asked 13 times) See all 13 of this type

    82
    The mean and variance of 10 observations were calculated as 15 and 15 respectively by a student who took by mistake 25 instead of 15 for one observation. Then, the correct standard deviation is

  2. Question 2

    Relations and Functions. Asked once: 27 Jul 2022 (same type asked 13 times) See all 13 of this type

    61
    Let R1R_{1} and R2R_{2} be two relations defined on R by aR1b⇔ab≥0aR_{1}b \Leftrightarrow ab \geq 0 and aR2b⇔a≥baR_{2}b \Leftrightarrow a \geq b, then

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  3. Question 3

    Probability. Asked once: 25 Jan 2023 (same type asked 12 times) See all 12 of this type

    171
    25%25\% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non -smoker. A person is diagnosed with lung cancer and the probability that this person is a smoker is k10\frac{k}{10}. Then the value of kk is.

  4. Question 4

    Permutations and Combinations. Asked once: 28 Jun 2022 (same type asked 12 times) See all 12 of this type

    65
    The total number of 5-digit numbers, formed by using the digits 1,2,3,5,6,71,2,3,5,6,7 without repetition, which are multiple of 6, is

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  5. Question 5

    Limits and Continuity. Asked once: 2021 Paper 5 (same type asked 11 times) See all 11 of this type

    84
    If lim⁡x→0aex−bcosx+ce−xxsinx=2\lim_{x \rightarrow 0} \frac{ae^{x}-bcosx+ce^{-x}}{xsinx}= 2, then a+b+ca+b+c is equal to