A person is to count 4500 currency notes. Let \( \mathrm{a}_{\mathrm{n}} \) denotes the number o...

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A person is to count 4500 currency notes. Let \( \mathrm{a}_{\mathrm{n}} \) denotes the number of notes he counts in the \( \mathrm{n}^{\text {th }} \) minute. If \( \mathrm{a}_{1}=\mathrm{a}_{2}=\ldots=\mathrm{a}_{10}=150 \) and \( \mathrm{a}_{10}, \mathrm{a}_{11} \ldots \) are in AP with common difference \( -2 \), then the time
\( P \) taken by him to count all notes, is
(1) \( 24 \min \)
(2) \( 34 \min \)
(3) \( 125 \min \)
(4) \( 135 \mathrm{~min} \)
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