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# In a circuit board factory, all circuit boards that pass a verificatio

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Math Expert
Joined: 02 Sep 2009
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In a circuit board factory, all circuit boards that pass a verificatio  [#permalink]

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17 Aug 2018, 12:13
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Difficulty:

55% (hard)

Question Stats:

57% (01:39) correct 43% (01:34) wrong based on 80 sessions

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In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.

Approximately how many faulty circuit boards exist in a group of 1,600 circuit boards where 64 fail inspection?

A) 72
B) 192
C) 200
D) 256
E) 264

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Re: In a circuit board factory, all circuit boards that pass a verificatio  [#permalink]

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17 Aug 2018, 12:56
Bunuel wrote:
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.

Approximately how many faulty circuit boards exist in a group of 1,600 circuit boards where 64 fail inspection?

A) 72
B) 192
C) 200
D) 256
E) 264

Total no of circuit boards inspected=1600
64 CBs failed in inspection, so 64nos are indeed faulty.
#boards those are process certified or passed in inspection=1600-64=1536
Given, 1/8 of those that pass are also faulty, So, #additional faulty boards=$$\frac{1536}{8}$$=192

Therefore, total #of faulty circuit boards=#boards indeed faulty+#boards also faulty(addl.)=64+192=256

Ans. (D)
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Re: In a circuit board factory, all circuit boards that pass a verificatio  [#permalink]

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18 Aug 2018, 06:06
Total number of circuit boards= 1600

No of boards that failed the inspection= 64

.............................passed.....................= 1600-64= 1536

Additional faulty boards= $$\frac{1536}{8}$$= 192

Total number of faulty boards= 192+64= 256

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Re: In a circuit board factory, all circuit boards that pass a verificatio  [#permalink]

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18 Aug 2018, 06:36
Bunuel wrote:
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.

Approximately how many faulty circuit boards exist in a group of 1,600 circuit boards where 64 fail inspection?

A) 72
B) 192
C) 200
D) 256
E) 264

$$64 + \frac{1}{8}(1600 - 64)$$

= 256, Answer must be (D)
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Re: In a circuit board factory, all circuit boards that pass a verificatio  [#permalink]

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20 Aug 2018, 11:05
Bunuel wrote:
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty.

Approximately how many faulty circuit boards exist in a group of 1,600 circuit boards where 64 fail inspection?

A) 72
B) 192
C) 200
D) 256
E) 264

Since 64 of the circuit boards fail inspection, 1,600 - 64 = 1,536 circuit boards pass inspection. However, of these 1,536 circuit boards, ⅛ of them, i.e., ⅛ x 1,536 = 192, are actually faulty, too. Therefore, a total of 64 + 192 = 256 circuit boards are faulty.

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Re: In a circuit board factory, all circuit boards that pass a verificatio   [#permalink] 20 Aug 2018, 11:05
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