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The scoring formula for a timed, 50-question test is S = C - B/4, when

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The scoring formula for a timed, 50-question test is S = C - B/4, when  [#permalink]

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New post 25 Apr 2018, 22:56
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The scoring formula for a timed, 50-question test is \(S = C - \frac{B}{4}\), where S is the score on the test, C is the number of questions answered correctly and B is the number of questions that were left unanswered. A student answers 42 questions and leaves 8 questions unanswered. Which of the following could be the student’s score?

I. 2
II. 40
III. 41

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only

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Re: The scoring formula for a timed, 50-question test is S = C - B/4, when  [#permalink]

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New post 25 Apr 2018, 23:02
Bunuel wrote:
The scoring formula for a timed, 50-question test is \(S = C - \frac{B}{4}\), where S is the score on the test, C is the number of questions answered correctly and B is the number of questions that were left unanswered. A student answers 42 questions and leaves 8 questions unanswered. Which of the following could be the student’s score?

I. 2
II. 40
III. 41

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


If \(S = C - \frac{B}{4} = C - \frac{8}{4} = C - 2\), then maximum score can be \(40\) (\(42\) correct answers) and minimum score can be \(-2\) (\(0\) correct answers). So, \(-2<=S<=40\), hence \(I\) and \(II\).

Answer: D
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The scoring formula for a timed, 50-question test is S = C - B/4, when  [#permalink]

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New post Updated on: 25 Apr 2018, 23:07
Bunuel wrote:
The scoring formula for a timed, 50-question test is \(S = C - \frac{B}{4}\), where S is the score on the test, C is the number of questions answered correctly and B is the number of questions that were left unanswered. A student answers 42 questions and leaves 8 questions unanswered. Which of the following could be the student’s score?

I. 2
II. 40
III. 41

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


IMO D)

Since the student attempted 42 questions and left 8 unanswered, then equation becomes
S=C-\(\frac{8}{4}\)==> S=C-2

so now out of remaining 32 questions he can do only 4 correct in that case his score would be 2
if he gets all 42 correct den score is 40
but to get score 41 he needs to get 43 correct which is not possible

so D
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Originally posted by doomedcat on 25 Apr 2018, 23:03.
Last edited by doomedcat on 25 Apr 2018, 23:07, edited 1 time in total.
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Re: The scoring formula for a timed, 50-question test is S = C - B/4, when  [#permalink]

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New post 25 Apr 2018, 23:08
doomedcat wrote:
Bunuel wrote:
The scoring formula for a timed, 50-question test is \(S = C - \frac{B}{4}\), where S is the score on the test, C is the number of questions answered correctly and B is the number of questions that were left unanswered. A student answers 42 questions and leaves 8 questions unanswered. Which of the following could be the student’s score?

I. 2
II. 40
III. 41

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


IMO A)

Since the student attempted 42 questions and left 8 unanswered, then equation becomes
S=C-\(\frac{8}{4}\)==> S=C-2

so now out of remaining 32 questions he can do only 4 correct in that case his score would be 2
but score of 40, 41 are not possible as even if he answers all 32 correct , max score he can get is 30 hence A


The number of correct answers can be 42. Please read the previous explanation.
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Re: The scoring formula for a timed, 50-question test is S = C - B/4, when  [#permalink]

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New post 25 Apr 2018, 23:08
Tulkin987 wrote:
doomedcat wrote:
Bunuel wrote:
The scoring formula for a timed, 50-question test is \(S = C - \frac{B}{4}\), where S is the score on the test, C is the number of questions answered correctly and B is the number of questions that were left unanswered. A student answers 42 questions and leaves 8 questions unanswered. Which of the following could be the student’s score?

I. 2
II. 40
III. 41

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


IMO A)

Since the student attempted 42 questions and left 8 unanswered, then equation becomes
S=C-\(\frac{8}{4}\)==> S=C-2

so now out of remaining 32 questions he can do only 4 correct in that case his score would be 2
but score of 40, 41 are not possible as even if he answers all 32 correct , max score he can get is 30 hence A


The number of correct answers can be 42. Please read the previous explanation.


ya got it ,,, deleted and editd the post ,,, made an error
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Re: The scoring formula for a timed, 50-question test is S = C - B/4, when  [#permalink]

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New post 13 May 2018, 10:34
Maximum score which can be scored is when all 42 are correct

So max score=42-8/4
=40

So any score below and equal to 40 can be answer

Below 40 is applicable as we don't know how many are correct.Number of correct will change score

So from options only 2 and 40 are answers

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Re: The scoring formula for a timed, 50-question test is S = C - B/4, when &nbs [#permalink] 13 May 2018, 10:34
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