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    in a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. for the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by

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    In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possi

    CAT 2020 Quant Question [Slot 2] with Solution 26

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    In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by

    4 3 5 6

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    [Solved] In a group of 10 students, the mean of the lowest 9 scores i

    Calculation: Let x1 be least number and x10 be largest number  according to question ⇒ x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 = 47&n

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    In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by

    3 5 4 6

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    Calculation:

    Let x1 be least number and x10 be largest number

    according to question

    ⇒ x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 = 47 × 9 = 423      ----(1)

    Similarly,

    ⇒ x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 = 42 × 9 = 378      ----(2)

    Subtract equation 2 from 1

    ⇒ x10 – x1 = 423 – 378 = 45

    Sum of 10 observation from equation 1 = 423 + x1

    ⇒ Now minimum value of x10 will be 47 and minimum value of x1 will be 2. hence minimum average = 425/10 = 42.5

    ⇒ maximumm value of x1 is 42 hence maximum average will be 465/10 = 46.5

    ⇒ Difference of average = 46.5 – 42.5 = 4

    ∴ The maximum possible mean exceeds the minimum possible mean by 4

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    Quantitative Aptitude - In a group of 10 students, the mean of the lowest 9 Slot - 1 - Quantitative Aptitude - In a group of 10 students, the mean of the lowest 9 Q. In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores

    Quantitative Aptitude – In a group of 10 students, the mean of the lowest 9

    Quantitative Aptitude – In a group of 10 students, the mean of the lowest 9 Slot – 1 – Quantitative Aptitude – In a group of 10 students, the mean of the lowest 9

    Q. In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by?

    3 5 4 6

    Answer: 4Solution:

    Sum of lowest 9 = 42*9 = 378

    Sum of highest 9 = 47*9 = 423

    Let the least score = a and highest score = b (also the sum of rest 8 = x)

    So b –a = 423 – 378 b –a = 55

    for the minimum possible mean b = 4

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