Section 167(2) can be tested in two parts: which of the two periods applies to a given offence, and what happens once that period runs out.
Test 1, which period:
The ninety day period applies only to offences punishable with death, life imprisonment, or imprisonment of ten years or more. Every other offence falls under the sixty day period. Whether the offence is against the State makes no difference, and there is no separate 120-day category and no flat 30-day rule.
Test 2, effect of expiry:
If the charge sheet is not filed within whichever period applies, the accused earns a right to be released on bail, provided he is willing to furnish bail. This right accrues on expiry of the relevant period, not immediately after the 15-day police custody window.
Conclusion:
Running the options through both tests leaves only the sixty or ninety day scheme tied to the offence's severity as a correct description of Section 167(2).
Default bail under Section 167(2) exists to stop an accused from being held indefinitely while an investigation drags on without a charge sheet. Testing each option against that safeguard purpose shows which one the provision was actually built to deliver.
Only the sixty or ninety day rule, scaled to the seriousness of the offence, actually protects personal liberty while giving investigation a realistic timeframe.
Therefore, the correct answer is After 60 days or 90 days, contingent upon the maximum punishment prescribed for the offence.