Something about "The Menagerie" has always bothered me; and it is a line that Mendez say to Kirk as they are going to see Pike for the first time. The line after Kirk says he met Pike once; Mendez says "About your age, big, handsome man; vital, active". Then Spock says that he served with him for "11 years, 4 months, 5 days." Later on when we start seeing the images from Talos 4 Spock says that "this is 13 years ago."
Ok, we know that Kirk is around 35 years old so if Pike was about the same age as Kirk then during the time of "The Cage" Pike was only about 22 years old? I think someone goofed unless of course I am missing something.