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Q.

If P=3212-1232, A=1101 and Q=PAPT, then PT(Q2005)P is equal to

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a

1200501

b

3/2200510

c

120053/21

d

13/202005

answer is A.

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Detailed Solution

We have,Q = P A PT⇒ PT Q = APT (∵as PTP = I = PPT)∴ PT Q2005 P = A PT Q2004 P= A2 PT Q2003 P = A3 PT Q2002 P= A2004 PT (QP)= A2004 PT (PA)(Q = P A PT ⇒ Q P = P A) = A2005= 1200501

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If P=3212-1232, A=1101 and Q=PAPT, then PT(Q2005)P is equal to