Step 1: Recall the thermodynamic cycle of a turbojet engine.
A turbojet engine operates on the
\[
\boxed{\text{Brayton (Joule) Cycle}.}
\]
This cycle consists of
• Isentropic compression,
• Constant-pressure heat addition,
• Isentropic expansion,
• Constant-pressure heat rejection.
Step 2: Identify the correct cycle.
Since gas turbine engines operate on the Brayton cycle,
\[
\boxed{\text{Brayton cycle}}
\]
is the correct answer.
Thus,
\[
\boxed{(C)}
\]
is the correct answer.