If the President does not sign a bill presented by Congress, which of the following is an option for it to become a law?

When the President does not sign a bill, it is often referred to as a "pocket veto" if the President neither signs nor returns the bill within ten days while Congress is still in session. However, if the President actively rejects the bill, they must return it to Congress with their objections. This process is outlined in Article I, Section 7 of the U.S. Constitution.

For the bill to become law despite the President's rejection, each house of Congress (the House of Representatives and the Senate) can vote to override the veto. This requires a two-thirds majority vote in both chambers. If successful, the bill is enacted into law despite the President's objections. This mechanism ensures that Congress can still enact legislation that they believe is essential, even if the President disagrees.

The other options do not accurately represent the process established by the Constitution. The vice president does not have the authority to sign bills into law independently, nor can the Speaker of the House simply mandate a law from a rejected bill. While Congress can modify a bill, if the President has vetoed it, those modifications would need to be reconsidered alongside the original bill's objections. Thus, the outlined correct process emphasizes the checks and balances inherent in the legislative process.