Step 1: Understanding the Concept
A gate whose output is 1 only when an odd number of inputs are 1 is the exclusive-OR (XOR) gate.
Step 2: Truth table of XOR
Inputs 00 give 0, 01 give 1, 10 give 1 and 11 give 0.
Step 3: Compare the options
OR gives 1 for 11, NAND gives 1 for 00, NOR gives 1 for 00. Only Ex-OR matches, option (C).
Final Answer:
The required gate is the Ex-OR gate.
\[ \boxed{\text{(C) }\text{Ex-OR gate}} \]