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Question
The greatest four digit perfect square number is = ?
Options:
A .  9000
B .  9801
C .  9900
D .  9981
Answer: Option B
$$\eqalign{
& \,\,\,\,\,\,\,9|\overline {99} \,\,\overline {99} \,\,(99 \cr
& \,\,\,\,\,\,\,\,\,\,|\,81 \cr
& \,\,\,\,\,\,\,\,\,\,| - - - - - - \cr
& \,189|\,18\,99 \cr
& \,\,\,\,\,\,\,\,\,\,|\,17\,01 \cr
& \,\,\,\,\,\,\,\,\,\,| - - - - - - \cr
& \,\,\,\,\,\,\,\,\,\,|\,\,\,\,1\,98 \cr
& \therefore {\text{Required number}} \cr
& = \left( {9999 - 198} \right) \cr
& = 9801 \cr} $$

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