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# Before the regime change, the National Museum regularly displayed only

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Manager
Joined: 23 Jan 2011
Posts: 124
Before the regime change, the National Museum regularly displayed only  [#permalink]

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17 Jul 2011, 14:07
4
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:53) correct 32% (03:02) wrong based on 41 sessions

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Before the regime change, the National Museum regularly displayed only one third of the artifacts in its collection; the other two thirds were kept in storage. The National Museum’s curator estimates that one seventh to one fifth of the artifacts in the museum’s collection disappeared during the regime change. If the National Museum now wishes to display the same number of artifacts as it did before the regime change, and if none of the missing artifacts are recovered, then the museum will keep in storage:

1) $$4/5$$ to $$6/7$$ of artifacts in collection

2) $$9/14$$ to $$13/20$$

3) $$3/5$$ to $$5/7$$

4) $$7/12$$ to $$11/18$$

5) $$7/18$$ to $$5/12$$
Manager
Joined: 23 Jan 2011
Posts: 124
Re: Before the regime change, the National Museum regularly displayed only  [#permalink]

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17 Jul 2011, 14:14
I do not think that OA is spot on. Here's why it could be.

Total no of artifacts= 105 (3*5*7)

Stolen= 15 to 21 (1/7 to 1/5)

Remain = 84 to 90

keep in storage= 56 to 60

this equals 8/12 to 2/3. Can someone explain pls?
Retired Moderator
Joined: 20 Dec 2010
Posts: 1869
Re: Before the regime change, the National Museum regularly displayed only  [#permalink]

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17 Jul 2011, 14:20
Chetangupta wrote:
I do not think that OA is spot on. Here's why it could be.

Total no of artifacts= 105 (3*5*7)

Stolen= 15 to 21 (1/7 to 1/5)

Remain = 84 to 90

keep in storage= 56 to 60

this equals 8/12 to 2/3. Can someone explain pls?

84 -> 90 is correct.

Requirement is: Museum wants to display the number of artifacts that it did before. Before, it displayed 35 i.e. 1/3*105

Now too:
35

If 21 were stolen
84-35=49
49/84-> store

If 15 stolen:
Total=90
Display=35
Store=90-35=55
55/90->Store
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Manager
Joined: 23 Jan 2011
Posts: 124
Re: Before the regime change, the National Museum regularly displayed only  [#permalink]

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17 Jul 2011, 14:22
fluke wrote:
Chetangupta wrote:
I do not think that OA is spot on. Here's why it could be.

Total no of artifacts= 105 (3*5*7)

Stolen= 15 to 21 (1/7 to 1/5)

Remain = 84 to 90

keep in storage= 56 to 60

this equals 8/12 to 2/3. Can someone explain pls?

84 -> 90 is correct.

Requirement is: Museum wants to display the number of artifacts that it did before. Before, it displayed 35 i.e. 1/3*105

Now too:
35

If 21 were stolen
84-35=49
49/84-> store

If 15 stolen:
Total=90
Display=35
Store=90-35=55
55/90->Store

Yup, totally missed out that part.
Director
Joined: 01 Feb 2011
Posts: 670
Re: Before the regime change, the National Museum regularly displayed only  [#permalink]

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17 Jul 2011, 14:41
1
let T be total number of artifacts initially.

stolen (1/7)T to (1/5)T

left (6/7)T to (4/5)T = new total

1/3 for display T/3

storage (6/7)T -T/3 to (4/5)- T/3

11/21 T to 7T/15

so storage to new total = (11T/21) / (6T/7) to (7T/15) / (4T/5)

i.e 11/18 to 7/12

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8278
Location: Pune, India
Re: Before the regime change, the National Museum regularly displayed only  [#permalink]

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03 Oct 2017, 09:29
1
Chetangupta wrote:
Before the regime change, the National Museum regularly displayed only one third of the artifacts in its collection; the other two thirds were kept in storage. The National Museum’s curator estimates that one seventh to one fifth of the artifacts in the museum’s collection disappeared during the regime change. If the National Museum now wishes to display the same number of artifacts as it did before the regime change, and if none of the missing artifacts are recovered, then the museum will keep in storage:

1) $$4/5$$ to $$6/7$$ of artifacts in collection

2) $$9/14$$ to $$13/20$$

3) $$3/5$$ to $$5/7$$

4) $$7/12$$ to $$11/18$$

5) $$7/18$$ to $$5/12$$

Since everything is in fraction terms, assume a total number of artifacts, say 210 (an easy multiple of 3, 7 and 5)

Regularly displayed = (1/3)*210 = 70
Kept in storage = 140

Disappeared artefacts = 1/7th to 1/5th = 30 to 42

So number of artefacts in storage now are 110 to 98

So museum will keep in its storage 110/180 to 98/168 of its collection.

We have only one option with 11/18 hence that must be the answer.

_________________

Karishma
Veritas Prep GMAT Instructor

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Re: Before the regime change, the National Museum regularly displayed only &nbs [#permalink] 03 Oct 2017, 09:29
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