If the seven-digit number 52A6B7C is divisible by 33, and A, B, C are primes, then the maximum value of 2A + 3B + C is:

If the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number, the result always is : 

The Product of three consecutive number is 4080. What is the least number?

The sum of 17 consecutive numbers is 289. The sum of another 10 consecutive numbers, whose first term is 5 more than the average of the first set of consecutive numbers is:

Find the number of Prime Factor of $${(4^{22}+{4^{22}}+{4^{22}}}+{4^{22})}{(3^{22}+3^{22}+{3^{22}})}$$.

When n is divided by 6, the remainder is 4. When 2n is divided by 6, the remainder is : 

1 + 2 + 3 + ............. + 49 + 50 + 49 + 48 + ........+ 3 + 2 + 1 is equal to -

A positive integer when divided by 425 gives remainder 45. When the same number is divided by 17, the remainder will be