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# Two-Fifth of the cars manufactured: Venn diagram

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Intern
Joined: 06 Mar 2016
Posts: 15
Two-Fifth of the cars manufactured: Venn diagram  [#permalink]

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02 Sep 2018, 11:18
1
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:51) correct 32% (03:05) wrong based on 52 sessions

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Two-fifth of the cars manufactured by a company are defective. Three-fifth of the defective cars and one-twentieth of the non-defective cars are left hand drive. If all the left hand drive cars are exported by the factory and every car manufactured is either left hand drive or right hand drive, then what fraction of exported left hand cars are defective?
A) 6/25
B)8/9
C)3/5
D)1/9

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Intern
Joined: 13 Jun 2017
Posts: 18
Re: Two-Fifth of the cars manufactured: Venn diagram  [#permalink]

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02 Sep 2018, 11:45
2/5 are D, 3/5 are ND

And
3/5 of (2/5 D) + 1/20 of (3/5 ND) = L
Which can be written as
6/25 of T + 3/100 of T = L -> eq 1

Let #cars = LCM(25,100) = 100

Therefore, using eq 1

L = 24 + 3 = 27

Answer is 24/27 = 8/9 (B)

_________________________

Similar way

2/5 are D, 3/5 are ND

And
3/5 of (2/5 D) + 1/20 of (3/5 ND) = L

Let #cars = LCM(25,20) = 100

Therefore,
D = 40
ND = 60
L = 24 + 3 = 27

Answer is 24/27 = 8/9 (B)

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VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: Two-Fifth of the cars manufactured: Venn diagram  [#permalink]

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02 Sep 2018, 11:56
1
divyajoshi12 wrote:
Two-fifth of the cars manufactured by a company are defective. Three-fifth of the defective cars and one-twentieth of the non-defective cars are left hand drive. If all the left hand drive cars are exported by the factory and every car manufactured is either left hand drive or right hand drive, then what fraction of exported left hand cars are defective?
A) 6/25
B)8/9
C)3/5
D)1/9

Posted from my mobile device

Hi divyajoshi12,
A GMAT type question has 5 answer options.
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Re: Two-Fifth of the cars manufactured: Venn diagram   [#permalink] 02 Sep 2018, 11:56
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