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09 Jan 2023, 09:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
78% (02:23) correct
22%
(02:02)
wrong
based on 72
sessions
History
Date
Time
Result
Not Attempted Yet
Nick appeared in a test of quantitative ability that consisted of 100 questions. Nick was awarded 4 marks for each correct answer and 1 mark was deducted for each wrong answer. If the number of questions attempted by Nick was between 70 and 80, inclusive, and his accuracy range was 60% - 75%, inclusive, in what range did Nick’s score lie?
A. 70 to 140, inclusive
B. 120 to 220, exclusive
C. 140 to 220, inclusive
D. 160 to 220, inclusive
E. 160 to 240 inclusive
A. 70 to 140, inclusive
B. 120 to 220, exclusive
C. 140 to 220, inclusive
D. 160 to 220, inclusive
E. 160 to 240 inclusive
09 Jan 2023, 14:26
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Bunuel
Range of score = Highest Score - Lowest Score
Considering the given criteria, Nick can can attempt highest score when Nick attempts greater number of question with high accuracy.
Contrary, Nick's score will be lowest when Nick attempts lower number of questions with low accuracy.
Max Score
Max Number of questions that nick attempted = 80 (80% of 100)
Max Accuracy = 75% = \(\frac{3}{4}\)
Therefore nick attempts 60 (75% of 80) corrects question , and 20 incorrect questions.
Score obtained: (60 * 4) - (20 * 1) = 220
Min Score
Min Number of questions that nick attempted = 70 (70% of 100)
Min Accuracy = 60%
Therefore nick attempts 42 (60% of 70) corrects question , and 28 incorrect questions.
Score obtained: (42 * 4) - (280 * 1) = 140
Range = 140 to 220
Option C
16 Jan 2025, 12:29
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