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The question asks for the least time at which Kamala should start her assignments so that she can complete them before 10:00 PM, in order to watch an important TV program. Each of her five subjects has a 40-minute assignment.

### Step-by-Step Solution

1. **Calculate the Total Time Required:**
   - Kamala has 5 subjects, and each subject requires 40 minutes of work.
   - Total time required = \(5 \times 40 = 200\) minutes.

2. **Convert the Total Time to Hours and Minutes:**
   - 200 minutes is equivalent to \(3\) hours and \(20\) minutes.

3. **Determine the Latest Start Time:**
   - Kamala needs to finish by 10:00 PM.
   - If she requires 3 hours and 20 minutes to complete all the assignments, the latest time she should start is:
     \[
     10:00 \, \text{PM} - 3 \, \text{hours} \, 20 \, \text{minutes} = 6:40 \, \text{PM}
     \]

### Conclusion

The least time at which Kamala should start her homework is **6:40 PM**.

### Correct Option: 
**(a) 6:40 PM**

Would you like more details on any step, or do you have any questions?

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### Related Questions:

1. How would the starting time change if Kamala had an additional subject?
2. What if Kamala could complete each assignment in 30 minutes instead?
3. How much time would Kamala save if she could skip one subject?
4. What is the earliest time Kamala could start and finish by 9:00 PM?
5. If Kamala started at 7:10 PM, what is the latest time she could finish?

### Tip:
When managing time, always calculate the total time needed for each task and work backward from the deadline to ensure timely completion.

Kamala would like to complete all her work before 10:00 PM in order to watch an important TV program. She has a 40-minute assignment in each of her five prepared subjects. What is the least time at which she can start and still complete her homework in time for the program?

Calculate the latest time Kamala can start her assignments and finish before 10:00 PM. This problem requires time calculations involving multiplication and subtraction. It is suitable for students in Grades 6-8.

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