In an 8-week course, a professor administered a test at the end of each week. Each of the eight tests was scored out of 4 marks, and a student could only receive a non-negative integer score. Two students, Ravi and Sumana, took the eight tests.
In the first test, Ravi and Sumana scored the same marks. From the second to eighth tests, Ravi scored the exact same non-zero marks. Sumana scored the same marks as Ravi from the fifth test onwards. Ravi’s total marks in the first three tests was the same as Sumana’s total marks in the first two tests. Also, Sumana’s marks in the first test, total marks of the first two tests, and total marks of the eight tests are in a geometric progression.
Which of the following can be true?
Show Hint
- Sumana scored 3 marks in the second test
- Sumana scored 4 marks in the eighth test
- Ravi scored 4 marks in the third test
- Sumana scored 2 marks in the first test
- Ravi scored 0 marks in the fifth test
If Ravi scored 4 marks in the first test, how many marks did Sumana score in the third test?
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- 4
- 3
- 1
- 0
- 2
If Ravi scored 1 mark in the second test, what is the maximum possible value of Sumana’s total marks in all the eight tests together?
Show Hint
- 10
- 9
- 12
- Cannot be uniquely determined from the given information
- 8
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