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Two-fifth of the cars manufactured by a company are defective. Three-f
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24 Mar 2023, 08:41
24 Mar 2023, 08:41
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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 only exported by the company and every car manufactured is either left-hand-drive or right-hand drive, then what fraction of exported left hand cars are defective?
1/9
6/25
3/5
4/5
8/9
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1/9
6/25
3/5
4/5
8/9
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE OVERLAPPING SETS
Re: Two-fifth of the cars manufactured by a company are defective. Three-f
[#permalink]
23 Apr 2023, 10:51
23 Apr 2023, 10:51
Expert Reply
usually, this problem, if they are approached step by step, sentence by sentence, are quite simple and straightforward.
Students tend to set up a double matrix to keep things clean and efficient. Nothing wrong with that, but there is no necessity.
Notice also that the fraction are always a multiple of 5 so is best, in this case, to work with whole numbers
1) Two-fifth of the cars manufactured by a company are defective.
2/5 of 100=40 defective
So 60 are NOT defective
2) Three-fifth of the defective cars and one-twentieth of the non-defective cars are left-hand-drive.
3/5 of 40= 24 are defective and LH
So 16 are NON defective and RH
1/20 of 60= 3 NON defective and LH
So 57 are NON defective and RH
3) If all the left-hand-drive cars are only exported by the company and every car manufactured is either left-hand-drive or right-hand drive, then what fraction of exported left hand cars are defective?
The total of LH are 24+3=27
we do need those among 27 that are ONLY defective so they are 24
24/27 is the answer
Students tend to set up a double matrix to keep things clean and efficient. Nothing wrong with that, but there is no necessity.
Notice also that the fraction are always a multiple of 5 so is best, in this case, to work with whole numbers
1) Two-fifth of the cars manufactured by a company are defective.
2/5 of 100=40 defective
So 60 are NOT defective
2) Three-fifth of the defective cars and one-twentieth of the non-defective cars are left-hand-drive.
3/5 of 40= 24 are defective and LH
So 16 are NON defective and RH
1/20 of 60= 3 NON defective and LH
So 57 are NON defective and RH
3) If all the left-hand-drive cars are only exported by the company and every car manufactured is either left-hand-drive or right-hand drive, then what fraction of exported left hand cars are defective?
The total of LH are 24+3=27
we do need those among 27 that are ONLY defective so they are 24
24/27 is the answer
gmatclubot
Re: Two-fifth of the cars manufactured by a company are defective. Three-f [#permalink]
23 Apr 2023, 10:51
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