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# A straight rod 1 yard in length was first marked off in fourths, third

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Senior Manager
Joined: 18 Jun 2016
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A straight rod 1 yard in length was first marked off in fourths, third  [#permalink]

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27 Apr 2017, 08:35
1
5
00:00

Difficulty:

55% (hard)

Question Stats:

51% (01:22) correct 49% (01:43) wrong based on 99 sessions

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A straight rod 1 yard in length was first marked off in fourths, thirds, and half and then cut along these lines. If the cost of cutting a single piece is \$1.5, what is the total cost of cutting?

A) \$6.00
B) \$7.50
C) \$9.00
D) \$10.50
E) \$12.00

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Re: A straight rod 1 yard in length was first marked off in fourths, third  [#permalink]

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27 Apr 2017, 10:52
In all it needs to be cut at - 25% 33% 50% 66% 75% 100%, 100% is not necessary.
So only 5 times = 5*1.5 = 7.5.
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Re: A straight rod 1 yard in length was first marked off in fourths, third  [#permalink]

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27 Apr 2017, 11:00
Only 5 distinct marking will be there (1/4,1/3,1/2,2/3&3/4)
To cut alone these lines----> cost = 5*1.5=7.5
Hence B
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Re: A straight rod 1 yard in length was first marked off in fourths, third  [#permalink]

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20 May 2017, 03:29
Markings in fourths - 1/4, 2/4, 3/4
Marking in thirds - 1/3, 2/3
Marking in half - 1/2

we can take LCM of 2,3,4 which is 12. Then the various markings become:
Markings in fourths - 3/12, 6/12, 9/12
Marking in thirds - 4/12, 8/12
Marking in half - 6/12

So various Different markings are (above method also allows us to arrange markings from smallest to largest):
3/12, 4/12, 6/12, 8/12, 9/12 .
5 total markings. cost = 5*1.5 = \$7.5

Re: A straight rod 1 yard in length was first marked off in fourths, third   [#permalink] 20 May 2017, 03:29
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