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# A man has 6 small chains of silver

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Intern
Joined: 04 Feb 2018
Posts: 34
Location: India
Concentration: Marketing, Technology
A man has 6 small chains of silver  [#permalink]

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21 Jan 2019, 09:58
3
00:00

Difficulty:

95% (hard)

Question Stats:

30% (02:38) correct 70% (01:54) wrong based on 35 sessions

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A man has 6 small chains of silver, each containing 3 links. He wants to create one large straight chain of 18 links. (Two chains can be connected by cutting open one link, inserting it through a link of the other chain and welding it shut again). If the cutting operation costs \$30 and the welding operation costs \$20, what is the minimum cost, in dollars, he will incur to create the completed chain?

Options:
1. 150

2. 200

3. 230

4. 250

5. 300

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Director
Joined: 09 Mar 2018
Posts: 994
Location: India
A man has 6 small chains of silver  [#permalink]

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21 Jan 2019, 10:28
1
disenapati wrote:
A man has 6 small chains of silver, each containing 3 links. He wants to create one large straight chain of 18 links. (Two chains can be connected by cutting open one link, inserting it through a link of the other chain and welding it shut again). If the cutting operation costs \$30 and the welding operation costs \$20, what is the minimum cost, in dollars, he will incur to create the completed chain?

Options:
1. 150

2. 200

3. 230

4. 250

5. 300

We have 6 small chains of silver, each containing 3 links, Total links will be 18. He wants to create one large straight chain of 18 links(Visualize is the key here)

cutting operation costs \$30(CC)
welding operation costs \$20(WC)

Number of times cut = x
Number of times weld =y

30 * x + 20 * y = Sum

Maximum cost will be 5 times cut and 5 times weld = 30*5 + 20*5 = 250, remove D and E.

When we make 4 cuts and 4 welds, we can get the minimum value
weld -cut -weld -cut- center -cut- weld- cut- weld -> center signifies the 1st chain

30*4 + 20*4 = 200

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Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Intern
Joined: 28 Nov 2014
Posts: 9
Location: India
Concentration: Marketing, Finance
GMAT 1: 570 Q47 V23
GMAT 2: 610 Q47 V27
GMAT 3: 640 Q48 V31
WE: Account Management (Advertising and PR)
Re: A man has 6 small chains of silver  [#permalink]

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21 Jan 2019, 10:33
Answer should be B in my opinion

3 links of 1st chain can be broken which would cost us \$90(3*\$30)
2nd and 3rd chain can be linked with the first broken link from 1st chain,Which cost \$20
3rd and 4th chain can be linked with the second broken link from 1st chain,Which cost \$20
4th and 5th chain can be linked with the third broken link from 1st chain,Which cost \$20

First link of the 6th chain can be broken for \$30 and linked with chain 5th chain end for \$20

So in total 3*30+3*20+30+20=200

Correct me if i am wrong.
Intern
Joined: 04 Feb 2018
Posts: 34
Location: India
Concentration: Marketing, Technology
Re: A man has 6 small chains of silver  [#permalink]

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21 Jan 2019, 11:23
arunshankarkkkk wrote:
Answer should be B in my opinion

3 links of 1st chain can be broken which would cost us \$90(3*\$30)
2nd and 3rd chain can be linked with the first broken link from 1st chain,Which cost \$20
3rd and 4th chain can be linked with the second broken link from 1st chain,Which cost \$20
4th and 5th chain can be linked with the third broken link from 1st chain,Which cost \$20

First link of the 6th chain can be broken for \$30 and linked with chain 5th chain end for \$20

So in total 3*30+3*20+30+20=200

Correct me if i am wrong.

ya, you are correct !!
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Re: A man has 6 small chains of silver   [#permalink] 21 Jan 2019, 11:23
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