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A candidate who gets 20% marks fails by 10 marks but another candidate

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Math Expert
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A candidate who gets 20% marks fails by 10 marks but another candidate  [#permalink]

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New post 11 Dec 2018, 03:12
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (01:55) correct 34% (03:11) wrong based on 68 sessions

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Intern
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Joined: 09 Jun 2016
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A candidate who gets 20% marks fails by 10 marks but another candidate  [#permalink]

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New post 13 Aug 2019, 06:25
5
Bunuel wrote:
A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.


A. 50
B. 100
C. 150
D. 200
E. 250


Bunuel

The language of the question might make the reader interpret the statements given differently.

Statement 1 -> 0.2 *(max marks) = passing marks - 10

Statement 2 - > 0.42 *(max marks) = passing marks + 0.12*(passing marks)


I think this question might need re-wording
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Re: A candidate who gets 20% marks fails by 10 marks but another candidate  [#permalink]

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New post 11 Dec 2018, 03:19
1
Let the max marks be X.
Candidate gets 20% of X, but still fails by 10 marks.
0.2X + 10 = passing marks
Another candidate, 0.42X-0.12X = passing marks
0.3X = 0.2X +10
0.1X = 10
X = 100

B is the answer.
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Re: A candidate who gets 20% marks fails by 10 marks but another candidate  [#permalink]

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New post 11 Dec 2018, 03:27
20% of max marks + 10 = passing marks
and 42% of max marks - 12% of max marks = passing marks.

Subtracting equation 1 from equation 1,

10% of max marks = 10

max marks = 100 (Option B)
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Re: A candidate who gets 20% marks fails by 10 marks but another candidate  [#permalink]

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New post 07 Aug 2019, 12:49
Bunuel wrote:
A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

A. 50
B. 100
C. 150
D. 200
E. 250


given: 0.2t=p-10 and 0.42t=p+0.12t
equate: 0.2t+10=0.30t,… t=100

Answer (B).
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Re: A candidate who gets 20% marks fails by 10 marks but another candidate  [#permalink]

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New post 13 Aug 2019, 13:55
1
abhishek911 wrote:
Bunuel wrote:
A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.


A. 50
B. 100
C. 150
D. 200
E. 250


Bunuel

The language of the question might make the reader interpret the statements given differently.

Statement 1 -> 0.2 *(max marks) = passing marks - 10

Statement 2 - > 0.42 *(max marks) = passing marks + 0.12*(passing marks)


I think this question might need re-wording


Absolutely agree.
Moreover, it is clear from the question that we must take 12% from passing marks, not from max marks.
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Re: A candidate who gets 20% marks fails by 10 marks but another candidate   [#permalink] 13 Aug 2019, 13:55
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