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Anna wants to distribute chocolates among her four children in the rat

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Anna wants to distribute chocolates among her four children in the rat [#permalink]

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Q. Anna wants to distribute chocolates among her four children in the ratio \(\frac{1}{2} : \frac{1}{5} : \frac{1}{6} : \frac{1}{12}\). How many minimum chocolates should she buy, so that she can distribute the chocolates in the given ratio?

    a. 30
    b. 45
    c. 57
    d. 90
    e. 120


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Saquib
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Last edited by EgmatQuantExpert on 30 Apr 2017, 11:56, edited 1 time in total.

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Re: Anna wants to distribute chocolates among her four children in the rat [#permalink]

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New post 24 Apr 2017, 23:12
Reserving this space to post the official solution. :)
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New post 24 Apr 2017, 23:43
from the give options choose the lowest numer which is a multiple of LCM of 2, 5, 6, 12. This is because when all the fractions are multiplied by the number of chocolates you need to get an integer.
LCM = 60

Hence answer is C
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Anna wants to distribute chocolates among her four children in the rat [#permalink]

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The LCM of 2,5,6 and 12 is 60. If we distribute 60 with the given ratios, it will give
\(\frac{60}{2}+\frac{60}{5}+\frac{60}{6}+\frac{60}{12}=57\)

Last edited by deucebigalow on 13 Aug 2017, 04:24, edited 2 times in total.

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Re: Anna wants to distribute chocolates among her four children in the rat [#permalink]

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New post 12 Aug 2017, 08:07
EgmatQuantExpert wrote:
Q. Anna wants to distribute chocolates among her four children in the ratio \(\frac{1}{2} : \frac{1}{5} : \frac{1}{6} : \frac{1}{12}\). How many minimum chocolates should she buy, so that she can distribute the chocolates in the given ratio?

    a. 30
    b. 45
    c. 57
    d. 90
    e. 120


Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts :)

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\(\frac{1}{2} : \frac{1}{5} : \frac{1}{6} : \frac{1}{12}\) = \(30 : 12 : 10 : 5\)

So, The minimum number of chocolates she should have bought is \(30 + 12 + 10 + 5 = 57\)

Answer must be (C)
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Kudos [?]: 1115 [0], given: 327

Re: Anna wants to distribute chocolates among her four children in the rat   [#permalink] 12 Aug 2017, 08:07
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Anna wants to distribute chocolates among her four children in the rat

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