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Nick appeared in a test of quantitative ability that consisted of 100

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Senior Manager
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Joined: 18 Feb 2019
Posts: 284
Location: India
GMAT 1: 490 Q47 V13
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Nick appeared in a test of quantitative ability that consisted of 100  [#permalink]

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New post 30 Mar 2019, 07:41
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

80% (02:25) correct 20% (02:53) wrong based on 30 sessions

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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
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Nick appeared in a test of quantitative ability that consisted of 100  [#permalink]

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New post 30 Mar 2019, 08:20
1
The minimum value for this range is when Nick answers 70Q with 60% accuracy.
=> 60% of 70 - Q correctly answered.
=> 42 Q - Correct and 28 Q - Wrong.
=> Score = 42 * 4 - 28 = 140.

The minimum value for this range is when Nick answers 80Q with 75% accuracy.
=>75% of 80 - Q correctly answered.
=>60 Q - Correct and 20 Q - Wrong.
=>Score = 60 * 4 - 20 = 220.

Range = [140, 220].
Answer: C
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Re: Nick appeared in a test of quantitative ability that consisted of 100  [#permalink]

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New post 30 Mar 2019, 11:27
The solution above is perfect, but the question itself is logically problematic. If his score must have been between 140 and 220, then clearly it must also have been between 120 and 220, so the question has two legitimately correct answers, B and C.
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Re: Nick appeared in a test of quantitative ability that consisted of 100  [#permalink]

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New post 30 Mar 2019, 12:03
For minimum
number of right questions = .6*70=42
score = 168-18=140
for maximum
no. of right q = .75*80 = 60
score = 240-20 = 220 i.e C

Score Range 140 to 220
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Re: Nick appeared in a test of quantitative ability that consisted of 100  [#permalink]

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New post 30 Mar 2019, 13:19
5
To maximise the range, values should lie between 60% of 70 and 75% of 80.

So the minimum value for this range is when Nick answers 70Q with 60% accuracy.
=> 60% of 70 - Q correctly answered.
=> 42 Q - Correct
Remaining 28 Q - Wrong.
=> Score = 42 * 4 - 28 = 140.

The maximum value for this range is when Nick answers 80Q with 75% accuracy.
=>75% of 80 - Q correctly answered.
=>60 Q - Correct and 20 Q - Wrong.
=>Score = 60 * 4 - 20 = 220.

So Range = [140, 220].
Answer: C

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Re: Nick appeared in a test of quantitative ability that consisted of 100  [#permalink]

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New post 30 Mar 2019, 23:10
Lowkya please refer highlighted part

Lowkya wrote:
The minimum value for this range is when Nick answers 70Q with 60% accuracy.
=> 60% of 70 - Q correctly answered.
=> 42 Q - Correct and 28 Q - Wrong.
=> Score = 42 * 4 - 28 = 140.

The minimum or (Maximum ?) value for this range is when Nick answers 80Q with 75% accuracy.
=>75% of 80 - Q correctly answered.
=>60 Q - Correct and 20 Q - Wrong.
=>Score = 60 * 4 - 20 = 220.

Range = [140, 220].
Answer: C

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Re: Nick appeared in a test of quantitative ability that consisted of 100   [#permalink] 30 Mar 2019, 23:10
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Nick appeared in a test of quantitative ability that consisted of 100

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