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

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:

The smallest number of five digits exactly divisible by 476

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

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

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

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

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + C ( C > - 7 ) is a constant, then the minimum value of the fraction is :