Answer: Riya got a greater score than Shanvi.
Step-by-step explanation:
i) If Riya gets 15 correct answers out of all the questions attempted, her total score can be calculated as follows:
Total score = (Number of correct answers * Marks awarded for each correct answer) - (Number of incorrect answers * Marks deducted for each incorrect answer)
Given that Riya answered 15 questions correctly, we can substitute the values into the equation:
Total score = (15 * 5) - (0 * 2) = 75
Therefore, Riya's total score is 75.
ii) If Shanvi gets 9 incorrect answers out of all the questions attempted, her total score can be calculated as follows:
Total score = (Number of correct answers * Marks awarded for each correct answer) - (Number of incorrect answers * Marks deducted for each incorrect answer)
Given that Shanvi answered 20 - 9 = 11 questions correctly (assuming she attempted all the questions), we can substitute the values into the equation:
Total score = (11 * 5) - (9 * 2) = 55 - 18 = 37
Therefore, Shanvi's total score is 37.
iii) If Maya's total score is -12 though she got 4 correct answers, we can calculate the number of incorrect answers attempted using the following equation:
Total score = (Number of correct answers * Marks awarded for each correct answer) - (Number of incorrect answers * Marks deducted for each incorrect answer)
Given that Maya's total score is -12 and she answered 4 questions correctly, we can substitute the values into the equation:
-12 = (4 * 5) - (Number of incorrect answers * 2)
Simplifying the equation:
-12 = 20 - (Number of incorrect answers * 2)
Number of incorrect answers * 2 = 20 + 12 = 32
Number of incorrect answers = 32 / 2 = 16
Therefore, Maya attempted 16 incorrect answers.
iv) To determine who got a greater score, we compare the total scores of Riya and Shanvi.
Riya's total score is 75, and Shanvi's total score is 37. Since 75 > 37, Riya got a greater score than Shanvi.
