Find a three – digit number such that its digits are in increasing G.P. (from left to right) and the digits of the number obtained from it by subtracting 100 form an A.P.

Find the last three digits of the number 27^(27)dot

Find the last two digits in the number 11^(100)

Find the two-digit number (having different digits), which is divisible by 5.

A 2n digit number starts with 2 and all its digits are prime, then the probability that the sum of all 2 consecutive digits of the number is prime is

Find the number of n digit numbers, which contain the digits 2 and 7, but not the digits 0, 1, 8, 9.

A two digit numbers is such that the product of its digits is 12. When 36 is added to the number the digits interchange their places. Find the number.

Number of six-digit numbers such that any digit that appears in the number appears at least twice, where the digits of each number are from the set {1, 2, 3, 4, 5}, is (Example 225252 is valid but 222133 is not valid)

A two digit number is such that the product of its digits is 18, When 63 is subtracted to the number the digits interchange their places. Find the number.

Sum of last three digits of the number N=7^(100)-3^(100) is.

A two digit number is formed with the digits 2,5,9 (repetition is allowed). Find the probability that the number is divisible by 2 or 5 .