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When 2/3 of the garments in the shipment were inspected, 18

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When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 20 Mar 2012, 09:33
3
7
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:24) correct 18% (01:45) wrong based on 455 sessions

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When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?

A. 10
B. 9
C. 8
D. 7
E. 5

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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 20 Mar 2012, 11:45
2
1
enigma123 wrote:
When 2/3 of the garments in the shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?

A. 10
B. 9
C. 8
D. 7
E. 5


We are told that 18+2=20 of the garments inspected compose 2/3 rd of the shipment, hence the shipment consists of 20/(2/3)=30 garments. We want 90% of the garments to pass inspection, so we need 0.9*30=27 of the garments to pass inspection. For now only 18 of the garments passed inspection, thus 27-18=9 of the garments from uninspected 10 must pass inspection.

Answer: B.
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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 23 Mar 2012, 04:13
B = 9

2/3x= 20
x=30

for 90% approval we need 27 garments approved.
already approved = 18
we need 9 more. hence B.
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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 23 Mar 2012, 04:40
18+ x=27
=> x=9
hence
B
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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 14 Mar 2018, 19:16
Wat do u think is the difficulty level of this question

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Re: When 2/3 of the garments in the shipment were inspected, 18  [#permalink]

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New post 14 Mar 2018, 20:02
ankykool wrote:
Wat do u think is the difficulty level of this question

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You can check difficulty level of a question along with the stats on it in the first post. For this question Difficulty: Sub-600 Level. The difficulty level of a question is calculated automatically based on the timer stats from the users which attempted the question.
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New to the Math Forum?
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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: When 2/3 of the garments in the shipment were inspected, 18 &nbs [#permalink] 14 Mar 2018, 20:02
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