Find how many numbers are lying between
9
9
9
9
9
2
and
1
0
0
0
0
0
2
.
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is it really a level 3 ques.?
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overrated!!
Yes I also was surprised because it is not at all difficult.
Did it the same way! Good solution
Excluding the numbers, there are (1000000^2 - 99999^2) - 1 = [(1000000+99999) (1000000-99999)] - 1 = 199999 1 - 1 = 199998
no. in between can be find by
( 1 0 0 0 0 0 2 − 9 9 9 9 9 2 ) − 1
( 1 0 0 0 0 0 − 9 9 9 9 9 ) ( 1 0 0 0 0 0 + 9 9 9 9 9 ) − 1
( 1 × 1 9 9 9 9 9 ) − 1
hence 199998...1 is subtracted in order to exclude one of the given no.
the ans will be 100000^2 -99999^2 -1 =199999-1=199998
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Total numbers lying between n 2 and [ n + 1 ] 2 is 2 times n. Therefore 9 9 9 9 9 × 2 = 1 9 9 9 9 8 is the answer.