Given:
- Rajesh scored 40 marks on the test.
- He gets 3 marks for each right answer and loses 1 mark for each wrong answer.
- If 4 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer, Rajesh would score 50 marks.

To find: The number of questions in the test.

Assumption:
Let's assume the number of questions in the test as 'x'.

Solution:

1. Calculating score based on the given information:
- According to the given information, Rajesh scored 40 marks on the test.
- For each right answer, he gets 3 marks, so the total marks scored for all the right answers would be 3 * (number of right answers).
- For each wrong answer, he loses 1 mark, so the total marks deducted for all the wrong answers would be 1 * (number of wrong answers).
- Therefore, we can write the equation as: 3 * (number of right answers) - 1 * (number of wrong answers) = 40.

2. Calculating score based on the alternative scenario:
- According to the alternative scenario, if 4 marks were awarded for each correct answer and 2 marks were deducted for each incorrect answer, Rajesh would score 50 marks.
- For each correct answer, he gets 4 marks, so the total marks scored for all the correct answers would be 4 * (number of correct answers).
- For each incorrect answer, he loses 2 marks, so the total marks deducted for all the incorrect answers would be 2 * (number of incorrect answers).
- Therefore, we can write the equation as: 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50.

3. Solving the equations:
- We have two equations:
1) 3 * (number of right answers) - 1 * (number of wrong answers) = 40
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- If we simplify both equations, we get:
1) 3 * (number of right answers) - (number of wrong answers) = 40
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- We can multiply equation 1 by 2 to eliminate the negative sign:
2 * (3 * (number of right answers) - (number of wrong answers)) = 2 * 40
Simplifying it, we get: 6 * (number of right answers) - 2 * (number of wrong answers) = 80
- Now, we have two equations:
1) 6 * (number of right answers) - 2 * (number of wrong answers) = 80
2) 4 * (number of correct answers) - 2 * (number of incorrect answers) = 50
- If we compare both equations, we can see that they are the same.
- Therefore, we can conclude that the number of right answers is equal to the number of correct answers and the number of wrong answers is