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If the GMATCLUB timer, which is absolutely correct, shows 20% correct

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chetan2u
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If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   31 Jan 2017, 03:43
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If the GMATCLUB timer, which is absolutely correct, shows 20% correct answers, what can be the number of incorrect answers?

1) 4
2) 6
3) 14
4) 25
5) 30

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A
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   31 Jan 2017, 03:47
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A. 0.8 x = 4, x = 5. Others answer choice is not divisible by 0.8.


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BrentGMATPrepNow
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   31 Jan 2017, 07:58
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chetan2u wrote:
If the GMATCLUB timer, which is absolutely correct, shows 20% correct answers, what can be the number of incorrect answers?
1) 4
2) 6
3) 14
4) 25
5) 30

Self made


Let C = # of correct responses
Let N = # of NOT correct (incorrect) responses
So, C+N = TOTAL # of responses

We're told that (# of correct responses)/(TOTAL # of responses) = 20%
In other words, (# of correct responses)/(TOTAL # of responses) = 1/5
So, C/(C + N) = 1/5
Cross multiply to get: 5C = 1(C + N)
Simplify: 5C = C + N
Subtract C from both sides: 4C = N
We can see that N is 4 TIMES the value of C
In other words, N is a multiple of 4

Check the answer choices....
Only answer choice A is a multiple of 4

Answer: A
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   31 Jan 2017, 08:46
chetan2u wrote:
If the GMATCLUB timer, which is absolutely correct, shows 20% correct answers, what can be the number of incorrect answers?
1) 4
2) 6
3) 14
4) 25
5) 30

Self made

Correct = 0.20 ; Incorrect = 0.80

Thus, the answer must be divisible by 8

Among the given options only (A) is possible...

So, Correct Answer must be (A)
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   31 Jan 2017, 08:50
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Abhishek009 wrote:

Thus, the answer must be divisible by 8

Among the given options only (A) is possible...



Be careful; 4 is not divisible by 8.

Cheers,
Brent
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   31 Jan 2017, 09:25
Let A be total answers. Wrong question is 0.8A. This should be integer. Only 4 satisfies
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   12 Mar 2017, 08:18
Question tests divisibility:

0,8x= one of the answer choices

I tried to apply ratios: 4:1
the only one answer that fit was 4, hence A is correct
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink] New post   08 Feb 2021, 07:52
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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct [#permalink]
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