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If A_{1},A_{2},A_{3},A_{4},...A_{100} are 100 sets such that A_2= A_{1}',A_3= A_{2}',A_4= A_{3}'\: .....A_{100}= A_{99}'. Then which of the following is true?

  • Option 1)

    A_{100}=A_{51}

  • Option 2)

    A_{100}= A_{49}

  • Option 3)

    A_{51}= A_{25}

  • Option 4)

    A_{50}= A_{25}

 

Answers (1)

best_answer

As we learnt

 

COMPLEMENT PROPERTY -

 

(A' )' = A

-

 

 If\; A_{1}= A;then\: A_{2}= A{}',A_{3}= \left ( A{}' \right ){}'= A,A_{4}= A{}'\: \: and\; \; so\; on.

Thus A_{51}= A{}'= A_{25}

 


Option 1)

A_{100}=A_{51}

Option 2)

A_{100}= A_{49}

Option 3)

A_{51}= A_{25}

Option 4)

A_{50}= A_{25}

Posted by

Himanshu

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