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Arithmetic means inserted between two numbers

This type of question, asked 2 times: 28 Jun 2022, 5 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    28 Jun 2022

    155
    If nn arithmetic means are inserted between aa and 100 such that the ratio of the first mean to the last mean is 1:71:7 and a+n=33a + n = 33, then the value of nn is

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  2. Question 2

    5 Apr 2026 S2

    56
    Let A1, A2, A3,……..,A39A_{1},{\text{ }A}_{2},{\text{ }A}_{3},\ldots\ldots..,A_{39} be 39 arithmetic means between the numbers 59 and 159. Then the mean of A25, A28, A31A_{25},{\text{ }A}_{28},{\text{ }A}_{31} and A36A_{36} is equal to:

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