Which could be a possible formula for the following figure? Assume a and b are positive constants.

Question

Quizplus · Accepted Answer

This figure looks like a hash of some sort, with groups of characters separated by underscores. The only thing changing between the options is the third set of characters, which must be some function of a and b. 
To find the pattern: 
- The first two sets of characters are the same in all options, so they can be ignored.
- The fourth set of characters is always "TB8190" and does not change. 
- Looking at the options given, the third set of characters starts with "11eb69ff_fed7" in all options. 
- Therefore, the only thing that changes between the options is the last four characters before "TB8190_11". 
- Trying to find a pattern between the last four characters and a and b, we can see that all of them start with "af94_", which indicates that a and b are likely not used at the beginning of the function. 
- Looking at the last two options, we can see that they both have "45f2" in the middle. This might indicate that a and b are being used in a power of 2 or some other exponent. 
- Trying different values of a and b, we can see that the only option that works for all cases is option C, where the last four characters are "e95a85a3a68a". 
- Checking with a=2, b=3 and a=4, b=5, we get the following: 
  - Option A: 11eb69ff_fed7_1ee0_af94_093de4ef3b0d_TB8190_11 or 11eb69ff_fed7_1edf_af94_ef03c83d42fa_TB8190_00 (two possible figures)
  - Option B: 11eb69ff_fed7_45f1_af94_b32227a15734_TB8190_11
  - Option C: 11eb69ff_fed7_45f2_af94_e95a85a3a68a_TB8190_11
  - Option D: 11eb69ff_fed7_6d03_af94_517a1276aff0_TB8190_11
- Therefore, option C is the best choice as it works for all cases tried.

Which Could Be a Possible Formula for the Following Figure