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Xavier Aptitude Test 2011 Paper
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Question : 34 of 101
Marks:
+1
,
-0
In a bank the account numbers are all 8 digit numbers and they all start with the digit
2
2
2
. So, an account number can be represented as
2
x
1
x
2
x
3
x
4
x
5
x
6
x
7
2x_1 x_2 x_3 x_4 x_5 x_6 x_7
2
x
1
x
2
x
3
x
4
x
5
x
6
x
7
. An account number is considered to be a ‘magic’ number if
x
1
x
2
x
3
x_1 x_2 x_3
x
1
x
2
x
3
is exactly the same as
x
4
x
5
x
6
x_4 x_5 x_6
x
4
x
5
x
6
or
x
5
x
6
x
7
x_5 x_6 x_7
x
5
x
6
x
7
or both.
x
1
x_1
x
1
can take values from 0 to
9
9
9
, but
2
2
2
followed by seven 0s is not a valid account number. What is the maximum possible number of customers having a ‘magic’ account number?
9989
19980
1989
19999
19990
Validate
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