PYQ Vault

Recurring decimals converted to fractions and combined

This type of question, asked 4 times: CDS 2 2017, CDS 2 2019, CDS 1 2020, CDS 1 2025. All 4 questions below, oldest first.

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  1. Question 1

    CDS 2 2017

    9
    If the points P and Q represent the real numbers 0.83‾0.8\overline{3} and 0.62‾0.6\overline{2} on the number line, then the distance between P and Q is

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  2. Question 2

    CDS 2 2019

    28
    What is 0.53‾+0.53‾0.\overline{53} + 0.5\overline{3} equal to ?

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  3. Question 3

    CDS 1 2020

    25
    If the points PP and QQ represent real numbers 0.73‾0.7\overline{3} and 0.56‾0.5\overline{6} on the number line, then what is the distance between PP and QQ ?

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  4. Question 4

    CDS 1 2025

    77
    If p=0.09‾p = 0.0\overline{9}, then what is the value of 70p2+43p−570p^2 + 43p - 5 ?

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