In how many ways can a committee schedule three speakers for three different meetings if they are all available on any of five possible dates?

The unit digit in the sum of (124 )³⁷² + (124 )³⁷³ is: 

A rod of length 85 m is divided into two parts if the first part of the rod is 2/3 of the second part then the larger part (in metres) is.

if 5432*7 is divisible by 9, then the digit in place of * is :

if 3 times a number exceeds its 3/5 by 60, then the number is.

1/5 of a number exceeds 1/7 of the same number by 10. The number is:

Find the remainder when 83²⁶¹ is divided by 17.

Find the no. of prime factors in the product of 25¹² × 10⁷ x 14⁷ ?