Introduction:
In a question paper with 6 questions, each having an alternative, an examinee has to choose one or more options as answers. The number of ways an examinee can answer these questions depends on the number of options available for each question and the number of questions the examinee chooses to answer.

Understanding the problem:
To find the number of ways an examinee can answer one or more questions, we need to consider the following factors:
1. The number of questions the examinee chooses to answer.
2. The number of options available for each question.
3. Whether the examinee can choose more than one option per question.

Calculating the number of ways:
To calculate the number of ways an examinee can answer the questions, we need to consider all possible combinations of choosing one or more questions and selecting options for each question.

Step 1: Determine the number of questions the examinee chooses to answer.
Let's assume the examinee can choose any number of questions from 0 to 6.
- When the examinee chooses to answer 0 questions, there is only one possibility.
- When the examinee chooses to answer 1 question, there are 6 possibilities (one for each question).
- When the examinee chooses to answer 2 questions, there are 15 possibilities (6C2).
- Similarly, we can calculate the number of possibilities for answering 3, 4, 5, and 6 questions using the combination formula.

Step 2: Determine the number of options for each question.
Since each question has an alternative, there are 2 options for each question.

Step 3: Determine whether the examinee can choose more than one option per question.
If the examinee can choose more than one option per question, the number of options for each question increases. However, this is not mentioned in the problem statement. Hence, we assume that the examinee can choose only one option per question.

Calculating the total number of ways:
To calculate the total number of ways an examinee can answer one or more questions, we need to sum up the possibilities for each number of questions chosen.

Total number of ways = (Number of possibilities for 0 questions) + (Number of possibilities for 1 question) + (Number of possibilities for 2 questions) + ... + (Number of possibilities for 6 questions)

By calculating the possibilities for each number of questions chosen and summing them up, we can find the total number of ways an examinee can answer one or more questions.