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The graph shows the number of computers assembled during each of 6 con

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The graph shows the number of computers assembled during each of 6 con [#permalink]

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The graph shows the number of computers assembled during each of 6 consecutive days.From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

A. From Day 1 to Day 2
B. From Day 2 to Day 3
C. From Day 3 to Day 4
D. From Day 4 to Day 5
E. From Day 5 to Day 6


[Reveal] Spoiler:
Attachment:
zxwlzd.jpg
zxwlzd.jpg [ 12 KiB | Viewed 3836 times ]
[Reveal] Spoiler: OA

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Last edited by Bunuel on 16 Jun 2017, 08:48, edited 1 time in total.
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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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New post 16 Jun 2017, 08:29
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AbdurRakib wrote:
Image
The graph shows the number of computers assembled during each of 6 consecutive days.From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

A. From Day 1 to Day 2
B. From Day 2 to Day 3
C. From Day 3 to Day 4
D. From Day 4 to Day 5
E. From Day 5 to Day 6


Just visually examine the graph we need to check greater percentage change between -

Day 2 to Day 3 VS Day 4 to Day 5

Percentage change in Day 2 to Day 3= 50%
Percentage change in Day 4 to Day 5 = 60%

Thus, the correct answer will be (D)
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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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day 1 to day 2 = 20 to 12 = 8/20 * 100 = 40% change
day 2 to day 3 = 12 to 18 = 6/12 * 100 = 50% change
day 3 to day 4 = 18 to 10 = 8/18 * 100 = 44.44 % change
day 4 to day 5 = 10 to 16 = 6/10 * 100 = 60% change
day 5 to day 6 = 16 to 8 = 8/16 * 100 = 50% change

Clearly, day 4 to day 5 is MAX, hence D answer

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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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AbdurRakib wrote:
Image
The graph shows the number of computers assembled during each of 6 consecutive days.From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

A. From Day 1 to Day 2
B. From Day 2 to Day 3
C. From Day 3 to Day 4
D. From Day 4 to Day 5
E. From Day 5 to Day 6


[Reveal] Spoiler:
Attachment:
zxwlzd.jpg


Used a visual scan technique.
1. In cases where value drop from previous day, % change is going to be -ve so ignoring them. E.g. Day 1 to 2.
2. we have only 2 candidates, Day 2 to 3 and Day 4 to 5., Visual observation says both have same increment over previous day.
But Day 4 to 5 has changed value on a smaller denominator then the Day 2 to 3 ...so it wins.
if someone is not from data analytics field then better calculate to verify.

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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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New post 11 Nov 2017, 15:57
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dangeyg wrote:
AbdurRakib wrote:
Image
The graph shows the number of computers assembled during each of 6 consecutive days.From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

A. From Day 1 to Day 2
B. From Day 2 to Day 3
C. From Day 3 to Day 4
D. From Day 4 to Day 5
E. From Day 5 to Day 6


[Reveal] Spoiler:
Attachment:
zxwlzd.jpg


Used a visual scan technique.
1. In cases where value drop from previous day, % change is going to be -ve so ignoring them. E.g. Day 1 to 2.
2. we have only 2 candidates, Day 2 to 3 and Day 4 to 5., Visual observation says both have same increment over previous day.
But Day 4 to 5 has changed value on a smaller denominator then the Day 2 to 3 ...so it wins.
if someone is not from data analytics field then better calculate to verify.


You need to be a little careful here. The question states - percent change in the number of computers assembled has the greatest in magnitude. So your 1st point could get you into trouble but not in this question though! :-)

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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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AbdurRakib wrote:
Image
The graph shows the number of computers assembled during each of 6 consecutive days.From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude ?

A. From Day 1 to Day 2
B. From Day 2 to Day 3
C. From Day 3 to Day 4
D. From Day 4 to Day 5
E. From Day 5 to Day 6


[Reveal] Spoiler:
Attachment:
zxwlzd.jpg


Let’s test each answer choice:

A) From Day 1 to Day 2

|(12 - 20)/20| x 100 = |-8/20| x 100 = 40%

B) From Day 2 to Day 3

[(18 - 12)/12] x 100 = |6/12| x 100 = 50%

C) From Day 3 to Day 4

|(10 - 18)/18| x 100 = |-8/18| x 100 = 44.44%

D) From Day 4 to Day 5

[(16 - 10)/10] x 100 = |6/10| x 100 = 60%

E) From Day 5 to Day 6

|(8 - 16)/16| x 100 = |-8/16| x 100 = 50%

Answer: D
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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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New post 17 Nov 2017, 03:28
Change is percentage can be calculated by understanding the fractional change in the numbers. (if number changes from 6 to 8, then fractional change is |6-8|/6). The denominator will be the first/initial number and the numerator will be the difference between the two numbers. (As magnitude has been asked, negative or positive will not affect the answer).
In this problem, we get following results of subtraction:
1. 8/20
2. 6/12
3. 8/18
4. 6/10
5. 8/16
Options 1 and 3 are eliminated as they are less than option 5 (Same numerator, different denominator)
Option 2 and Option 5 are same (1/2) hence both eliminated. Option 4 remains, and hence the answer.

Observing the number might not give the solution this easily every time but it helps to sit back and think about the numbers for 2-5 seconds.

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Re: The graph shows the number of computers assembled during each of 6 con [#permalink]

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New post 20 Nov 2017, 16:28
Hi All,

We're given a graph that shows the number of computers assembled on each of 6 consecutive days. We're asked for the day-to-the-next-day pair that had the GREATEST PERCENT CHANGE in the number of computers assembled. To answer this question, we'll need the Percent Change Formula (and a little math):

Percent Change = (New - Old)/Old = Difference/Original

Day 1-2: 8/20 = 4/10 = 40%
Day 2-3: 6/12 = 1/2 = 50%
Day 3-4: 8/18 = 4/9 = 44.4444%
Day 4-5: 6/10 = 60%
Day 5-6: 8/16 = 1/2 = 50%

Final Answer:
[Reveal] Spoiler:
D


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Re: The graph shows the number of computers assembled during each of 6 con   [#permalink] 20 Nov 2017, 16:28
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