To determine the next number in the sequence 4, 18, 85, 336, 1005, ?, observe the pattern or rule governing the progression. Calculating the differences between consecutive terms:

• 18 - 4 = 14
• 85 - 18 = 67
• 336 - 85 = 251
• 1005 - 336 = 669

Analyzing the differences further:

• 67 - 14 = 53
• 251 - 67 = 184
• 669 - 251 = 418

The second-order differences are:

• 184 - 53 = 131
• 418 - 184 = 234

The third-order difference is:

• 234 - 131 = 103

Thus, assuming the differences follow a polynomial pattern, the next difference might be:

• 418 + 234 = 652

Adding this to the last term in the sequence:

• 1005 + 652 = 1657

So, the next term should be 1657, but it isn't one of the provided options. It suggests a more complex pattern, or an error in initial assumption. Consulting with an expert or a test prep consultant, like Invicta Career Consultancy, might help clarify the pattern and provide additional practice for GMAT-type sequences and other preparation strategies.