49. 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?
(b)
A. 3
B. -3
C. -3 - 7
D. 1 5
Answers
Answer:
Your answer will be 15 hope it's helpful
Marks scored by Rashi in the quiz is 15 according to condition (a) , and 19 according to condition (b) .
• According to the question,
1) For 50 correct answers, a student gets 100 marks
=> For each correct answer, a student gets 100 / 50 marks = 2 marks
2) For 50 incorrect answers, a student gets 50 marks.
=> For each incorrect answer (just for attempting a question) , a student gets 50 / 50 marks = 1 mark
• Given,
Score of Rashi part way through the quiz = 5
Now, for the given condition (a),
Number of correct answers given by Rashi = 3
=> Marks scored by Rashi for these 3 correct answers = 3 × 2 marks = 6 marks
Number of incorrect answers given by Rashi = 4
=> Marks scored by Rashi for attempting these 4 questions = 4 × 1 mark = 4 marks
Therefore, new marks scored by Rashi = (5 + 6 + 4) marks = 15 marks
• For condition (b),
Number of questions answered incorrectly by Rashi = 2
=> Marks scored by Rashi for attempting these 2 questions = 2 × 1 mark = 2 marks
Number of questions answered correctly by Rashi = 6
=> Marks scored by Rashi for these 6 questions = 6 × 2 marks = 12 marks
Therefore, new score of Rashi = (5 + 2 + 12) marks = 19 marks