All the engineer jokes I know are specifically related to French schools so...
Oh, I do have something else though. A mathematician, a physicist, a chemist and an a computer scientist are asked to demonstrate that all odd numbers are prime.
The mathematician goes : "3 works, 5 works, 7 works, 9 doesn't work, so no."
The physicist goes : "3 works, 5 works, 7 works, 9 doesn't work, 11 works, 13 works, so on first approximation it works."
The chemist goes : "3 works, 5 works, 7 works, 9 works, 11 works, so yeah it works."
The computer scientist goes : "3 works, 5 works, 7 works, 9 doesn't work, 9 doesn't work, 9 doesn't work, 9 doesn't work..."
I know the one you are thinking about. There's a similar one in Spain:
Before a job interview, the interviewees are asked to count to 10.
-1,3,5,7,9,10,8,6,4,2, answers the postman.
-0,1,10, answers the IT engineer.
-10,9,8,7,6,5,4,3,2,1, answers the rocket scientist.
-1,2,1,2,1,2..., answers the officer in training.
-let me make a quick call, answers the management student.
-1,2,3,4,5,6,7, jack, queen, king, answers the senior undergrad.
...you might notice Spanish-Italian decks are different.
There's a whole story and delivery around it, but meh, too lazy to translate.
EDIT: for clarity.