In a quiz, there are 50 questions. If all questions are answered correctly, a student's score will be 100, if all questions are answered incorrectly, a student's score will be -50. Part way through this quiz Rashi has a score of -5. What will her new score be, if she
(a) answers 3 of the next 7 questions correctly and 4 of them incorrectly?
(b) answers 2 of the next 8 questions incorrectly and 6 of them correctly?

Options

A. `{:(a,b),(3,5):}`
B. `{:(a,b),(-3,5):}`
C. `{:(a,b),(-3,-7):}`
D. `{:(a,b),(1,5):}`

Answer

B

Explanation

Marks for correct answer = 2
Marks for incorrect answer = -1
(a) Rashi.s score = `-5 + (3 xx 2) + (4 xx (-1)) `
`= -5 + 6 -4 = -9 + 6 = -3 `
(b) Rashi.s score = `-5 + 2 xx (-1) + 6 xx 2 `
`= -5 - 2 + 12 = -7 + 12 = 5 `