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Activity falls to a fraction in some days: find the activity after a longer time

The same question, asked 2 times: 20 Apr 2026 S2*, 14 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    20 Apr 2026 S2

    148
    Activity of a radioactive sample decreases to (14)th\left(\dfrac{1}{4}\right)^{th} of its original value in 4 days. Then in 16 days its activity will become xx times the original value. The value of xx is

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  2. Question 2

    14 May 2026 S1

    147
    Activity of a radioactive sample decreases to (13)rd\left(\dfrac{1}{3}\right)^{rd} of its original value in 33 days. Then in 99 days its activity will become

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