In heat exchanger terminology, the designation “$x$-$y$ pass exchanger” generally refers to:
- $x$ = number of tube passes, and
- $y$ = number of shell passes.
However, in some conventions, this is written in reverse — i.e., the first number refers to shell passes and the second to tube passes.
In this particular question, the format "3-6 pass exchanger" actually follows the second convention, where:
- The first number "3" indicates the number of shell passes, and
- The second number "6" represents the number of tube passes.
Thus, the exchanger has 6 tube passes and 3 shell passes. Therefore, the number of tube and shell passes will be:
\[
6 and 3
\]
Let’s briefly verify the options:
- Option (1): 3 and 6 → reversed
- Option (2): 3 and 3 → incorrect
- Option (3): 3 and 5 → incorrect
- Option (4): 6 and 3 → correct
Hence, option (4) is the right choice.