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# Every evening Nigel eats half of the cookies in his cookie jar. In ord

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Math Expert
Joined: 02 Sep 2009
Posts: 43787

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18 Sep 2016, 09:20
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Difficulty:

5% (low)

Question Stats:

88% (00:55) correct 12% (00:07) wrong based on 60 sessions

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Every evening Nigel eats half of the cookies in his cookie jar. In order to cover up his dirty deeds, he then adds two more cookies to the jar. Last week, how many cookies were there in the jar on Wednesday morning?

(1) When full, the cookie jar contains 28 cookies, and on Sunday morning last week the cookie jar was full.

(2) The jar contained 10 cookies on Tuesday morning last week.
[Reveal] Spoiler: OA

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Manager
Joined: 05 Jun 2015
Posts: 84
Location: United States
WE: Engineering (Transportation)

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18 Sep 2016, 17:30
(1) When full, the cookie jar contains 28 cookies, and on Sunday morning last week the cookie jar was full.

Cookies on Sunday evening = $$\frac{28}{2}$$ + 2 = 16
Cookies on Monday evening = $$\frac{16}{2}$$+2 = 10
Cookies on Tuesday evening = $$\frac{10}{2}$$+2 = 7

Hence cookies on Wednesday morning = 7

(2) The jar contained 10 cookies on Tuesday morning last week.
Cookies on Tuesday Evening = $$\frac{10}{2}$$+2 = 7
Hence cookies on Wednesday morning = 7

Either statement is sufficient. Option D
Senior Manager
Joined: 11 Nov 2014
Posts: 355
Location: India
WE: Project Management (Telecommunications)

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18 Sep 2016, 19:13
sunday 28
left 14
16

monday 16
8
10

tue 10
5
7

wed 7

D
Manager
Joined: 24 Oct 2013
Posts: 153
Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)

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21 Sep 2016, 22:51
I choose D
Both statements can give count of cookies on Wednesday
Intern
Joined: 23 Aug 2016
Posts: 5

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23 Sep 2016, 02:46
Good question.

Can do without calculations. Everyday something is happening to the biscuits...divided by 2 and +2...... so eventually we will stop at some point.

Bunuel wrote:
Every evening Nigel eats half of the cookies in his cookie jar. In order to cover up his dirty deeds, he then adds two more cookies to the jar. Last week, how many cookies were there in the jar on Wednesday morning?

(1) When full, the cookie jar contains 28 cookies, and on Sunday morning last week the cookie jar was full.

(2) The jar contained 10 cookies on Tuesday morning last week.
Senior Manager
Joined: 05 Jan 2017
Posts: 434
Location: India

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23 Feb 2017, 05:05
(1) When full, the cookie jar contains 28 cookies, and on Sunday morning last week the cookie jar was full.

(2) The jar contained 10 cookies on Tuesday morning last week.

Prompt analysis
Let the number of cookies on the day on wednesday be x.
No. of cookies left in the jar on tuesday will be = 2(x-2) =2x-4
No. of cookies left in the jar on monday will be = 2(2x-4-2) = 4x-12
No. of cookies left in the jar on sunday will be = 2(4x-12-2) = 8x-28

And so on.

Superset
The number of cookies at any day will be a whole number.

Translation
In order to find the exact number of cookies, we need:
1# the value of x
2# the number of cookies any day.

Statement analysis
St 1: on sunday, the number cookies is 28, which is equal to 8x -28. Therefore x = 7. ANSWER
St 2: on tuesday, the number of cookies is 10, which is equal to 2x-14. Therefore x = 7 . ANSWER

Option D
Re: Every evening Nigel eats half of the cookies in his cookie jar. In ord   [#permalink] 23 Feb 2017, 05:05
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