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

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Math Expert
Joined: 02 Aug 2009
Posts: 7198
If the GMATCLUB timer, which is absolutely correct, shows 20% correct  [#permalink]

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31 Jan 2017, 02:43
1
2
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:36) correct 19% (01:03) wrong based on 61 sessions

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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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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct  [#permalink]

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31 Jan 2017, 02:47
1
A. 0.8 x = 4, x = 5. Others answer choice is not divisible by 0.8.

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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct  [#permalink]

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31 Jan 2017, 06:58
Top Contributor
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

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

Only answer choice A is a multiple of 4

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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct  [#permalink]

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31 Jan 2017, 07:46
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

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]

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31 Jan 2017, 07:50
Top Contributor
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.

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Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct  [#permalink]

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31 Jan 2017, 08:25
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]

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12 Mar 2017, 07:18
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
Re: If the GMATCLUB timer, which is absolutely correct, shows 20% correct &nbs [#permalink] 12 Mar 2017, 07:18
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