Digital property

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Sum of all possible three digit numbers (No digit being zero) having the property that all digits are perfect squares is

Consider seven digit number x_(1),x_(2),...,x_(7) where x_(1),x_(2),...,x_(7)!=0 having the property that x_(4) is the greatest digit and digits towards that x_(4) and right of x_(4) are in decreasing order. Then total number of such numbers in which all digits are distinct is

Total number of six-digit numbers that can be formed having the property that every succeeding digit is greater than the preceding digit is equal to a.^(9)C_(3) b.^(10)C_(3) c.^(9)p_(3) d.^(10)p_(3)

Find the total number of n -digit number (n>1) having property that no two consecutive digits are same.

There is a two-digit number whose digits are the same, and has got the following property : when squared, it produces a four-digit number, whose first two digits are the same and equal to the original's minus one, and whose last two digits are the same and equal to half of the original's. Find that number.

How many two-digit numbers satisfy this property: The last digit (unit's digit) of the square of the two-digit number is 8?(a)1 (b) 2 (c) 3 (d) None of these

Consider all the six digit numbers that can be formed using the digits 1, 2, 3, 4, 5 and 6, each digit being used exactly once. Each of such six digit numbers have the property that for each digit, not more than two digits smaller than that digit appear to the right of that digit. Q. Number of such six digit numbers having the desired property is :

Consider all the six digit numbers that can be formed using the digits 1, 2, 3, 4, 5 and 6, each digit being used exactly once. Each of such six digit numbers have the property that for each digit, not more than two digits smaller than that digit appear to the right of that digit. Q. A six digit number which does not satisfy the property mentioned above, is :