Let the operations '#' and '*' be defined as follows:
a * b = 1/a + 1/b a # b = (a + b)/(a - b)
Find the value k such that: (22 * k) # (k * 33) = 27
(k*22)=(22+k)/22k, (k*33)=(33+k)/33k, (k*22)#(k+33)=(132+5k)/k=27. So, 132+5k=27k, 27k-5k=132, 22k=132, k=6
Find the largest possible value of positive integer N, such that N! can be expressed as the product of (N-4) consecutive positive integers?
Three non negative numbers A, B and C are such that the mean is X and the median is 7. If X is 12 more than the smallest number and 17 less than the biggest number. Find the value of A + B + C.
