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A dinner costs $100 and will be shared by 7 employees. Fred shared $48

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A dinner costs $100 and will be shared by 7 employees. Fred shared $48  [#permalink]

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New post 27 Feb 2018, 08:29
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E

Difficulty:

  45% (medium)

Question Stats:

73% (02:53) correct 27% (03:02) wrong based on 33 sessions

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A dinner costs $100 and will be shared by 7 employees. Fred shared $48 and Lois shared an amount less than Fred and larger than any other people. If everyone shared a different integer amount no less than $2, which of the following could be the amount of cost shared by Lois, in dollars?

I. 10
II. 20
III. 30

(A) I only
(B) II only
(C) III only
(D) I and III
(E) II and III

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A dinner costs $100 and will be shared by 7 employees. Fred shared $48  [#permalink]

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New post 27 Feb 2018, 09:19
rohan2345 wrote:
A dinner costs $100 and will be shared by 7 employees. Fred shared $48 and Lois shared an amount less than Fred and larger than any other people. If everyone shared a different integer amount no less than $2, which of the following could be the amount of cost shared by Lois, in dollars?

I. 10
II. 20
III. 30

(A) I only
(B) II only
(C) III only
(D) I and III
(E) II and III

Source- Master GMAT.


Since the dinner is shared by 7 people and costs $100,
F(Fred's contribution) = 48 > L(Lois's contribution)

Since everyone shared a different integer amount no less than $2,
the other 5 employees can contribute $2,$3,$4,$5, and $6 at the minimum
Since Lois has to contribute greater than the other 5 employees, I($10 contribution) is not possible.

For the other 2 cases, we have the following scenarios
Case II : 48,20,12,8,6,4,2
Case III : 48,30,8,5,4,3,2

However, Option E(II and III) is a possibility for the amount of cost shared by Lois, in dollars
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A dinner costs $100 and will be shared by 7 employees. Fred shared $48   [#permalink] 27 Feb 2018, 09:19
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A dinner costs $100 and will be shared by 7 employees. Fred shared $48

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