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# How many hours were Fran and Fred away from home?

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
How many hours were Fran and Fred away from home?  [#permalink]

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21 May 2016, 03:51
2
3
00:00

Difficulty:

85% (hard)

Question Stats:

22% (01:06) correct 78% (00:55) wrong based on 124 sessions

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How many hours were Fran and Fred away from home?

(1) They left at 9.30 am on Monday and returned at 9.30pm on Friday.
(2) Their home was empty for exactly four days.

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Math Expert
Joined: 02 Aug 2009
Posts: 7978
Re: How many hours were Fran and Fred away from home?  [#permalink]

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21 May 2016, 05:44
2
1
Bunuel wrote:
How many hours were Fran and Fred away from home?

(1) They left at 9.30 am on Monday and returned at 9.30pm on Friday.
(2) Their home was empty for exactly four days.

Hi,

Again it is more of logic than maths..

(1) They left at 9.30 am on Monday and returned at 9.30pm on Friday.
We cannot say from givinf info if it was Monday and Friday of the SAME week or DIFFERENT weeks..
Insuff

(2) Their home was empty for exactly four days.
Empty means no one was there But who else comprises of their family..
May be they are the ONLY two in the family, then answer is 4 days..
But may be there are others who went and came back ...
Insuff

Combined-
We can say for sure that Fran and Fred stayed away for more than 4 days and there is someone else too occupying the house...
But the situation of (1) still remains..
Insuff

E
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Re: How many hours were Fran and Fred away from home?  [#permalink]

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18 Dec 2017, 13:07
E should be

Statement 1: They left at 9.30 am on Monday and returned at 9.30pm on Friday
- They left their home or friend's house? and returned to their home or friend's house?
- insufficient

Statement 2: Their home was empty for exactly four days.
- Maybe their house was unoccupied for 4 days and occupied by somebody else for 2 days, so total days way from home is 6
- insufficient

(1)+(2) - they could left and returned to their friend's house, their own house could have empty for 4 days and occupied by somebody else and they didn't return to their for a while -> InSufficient
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Re: How many hours were Fran and Fred away from home?  [#permalink]

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16 Jan 2018, 17:54
Bunuel wrote:
How many hours were Fran and Fred away from home?

(1) They left at 9.30 am on Monday and returned at 9.30pm on Friday.
(2) Their home was empty for exactly four days.

We need to determine the number of hours Fran and Fred were away from home.

Statement One Alone:

They left at 9:30 am on Monday and returned at 9:30 pm on Friday.

Statement one is not sufficient to answer the question. The number of hours would be different depending on whether they return on Friday of the same week or Friday of a different week.

Statement Two Alone:

Their home was empty for exactly four days.

Statement two is not sufficient to answer the question. The number of hours could be different depending on who else live in their house. If they are the only ones who live in the house, then they were away from home for 4 x 24 = 96 hours. However, if someone else also lives in the house, say their children, it is possible that their children return home after 4 days but Fran and Fred were still away from home.

Statements One and Two Together:

Even with the two statements, it is still impossible to tell how many hours Fran and Fred were away from home.

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Re: How many hours were Fran and Fred away from home?   [#permalink] 16 Jan 2018, 17:54
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