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Question

If P=[3/21/21/23/2],A=[1101] and Q=PAPT, then PTQ2005P is

A
[1200501]
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B
[1200520051]
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C
[1020051]
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D
[1001]
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Solution

The correct option is A [1200501]
Now, PTP=[3/21/21/23/2] =[3/21/21/23/2]PTP=[1001]PTP=1PT=P1Since Q=PAPTPTQ2005P=PT[(PAPT)(PAPT)...2005 times]P=(PTP)A(PTP)A(PTP)...(PTP)A(PTP)2005 times=IA2005=A2005A=[1101]A2=[1101] [1101]=[1201]A3=[1201] [1101]=[1301]................................................................A2005=[1200501]PT Q2005P=[1200501]

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