Question

look at the pattern and Solve
1 = 1X1
121 =__x__
12321 =__x__
1234321=__x__
_____ =11111x11111

Answer 1

It can be observed that the squares of the given numbers can be found by first writing the counting number up to the number of $1$'s and then writing the reverse counting till $1$.

Thus,

$1\times 1=1$

$11\times 11=121$

$111\times 111=12321$

$1111\times 1111=1234321$

$11111\times 11111=123454321$