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You can solve it by making a table using the values given in the question.

The year when 2L exceeds Sum of A & K is 2015

Hence - C
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Screen Shot 2015-04-29 at 7.30.29 pm.png
Screen Shot 2015-04-29 at 7.30.29 pm.png [ 26.17 KiB | Viewed 6593 times ]

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I'm going with C:

I made a chart starting at 2012:
A+K=13
L=0.

Then I added 9 to a+k for each year and 14 to L for each year.

2013:AK=22 L=14
2014:AK=31 L=28
2015:AK=40 L=42

thus, 2015 is the correct answer. => C
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Livonian wolfhounds age 7 times as fast as humans: 7h
Khazarian terriers age 5 times as fast: 5h
Akkadian retrievers age 4 times as fast: 4h

Only in year 2015 does
Akkadian + Khazarian be less than twice the age of a Livonian
20+20 < 2*21
40<42

Answer: C
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Bunuel
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2010, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?

A. 2013
B. 2014
C. 2015
D. 2016
E. 2017

Ans: C
in one year A will age 4 years, K will age 5 years, L will age 7 years

sol: A+k 2L
------------------------
2013 22 14
2014 31 28
2015 40 42

2015 is the answer
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After reconsideration, wouldn't the actual event where 2L=K+A come during 2014? At the beginning of 2015 we know that 2L>K+A, so therefore the event should have happened at 2014.
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MarkusKarl
After reconsideration, wouldn't the actual event where 2L=K+A come during 2014? At the beginning of 2015 we know that 2L>K+A, so therefore the event should have happened at 2014.

All events occur at 1 January. So technically it's 2015 year.
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Harley1980
MarkusKarl
After reconsideration, wouldn't the actual event where 2L=K+A come during 2014? At the beginning of 2015 we know that 2L>K+A, so therefore the event should have happened at 2014.

All events occur at 1 January. So technically it's 2015 year.

At January 1st 2015, 2L=42 and K+A=40, as such 2L has been more than K+A prior to January 1st 2015.

What am I missing?
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MarkusKarl
Harley1980
MarkusKarl
After reconsideration, wouldn't the actual event where 2L=K+A come during 2014? At the beginning of 2015 we know that 2L>K+A, so therefore the event should have happened at 2014.

All events occur at 1 January. So technically it's 2015 year.

At January 1st 2015, 2L=42 and K+A=40, as such 2L has been more than K+A prior to January 1st 2015.

What am I missing?

31 december 2014, 2L=28 and K+A=31

1st January day of birthday all dogs
At January 1st 2015, 2L=42 and K+A=40

So only at 1 January 2L became bigger than K+A
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Harley1980


31 december 2014, 2L=28 and K+A=31

1st January day of birthday all dogs
At January 1st 2015, 2L=42 and K+A=40

So only at 1 January 2L became bigger than K+A

This would mean that the dogs age only once a year and that time is discreet, not continuous. How am I to interpret the question to get this definition?
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Wouldn't L be 364/365*7+14 at the next to last day of 2014? (just to clarify how I interpret the continuous flow of age)
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Wouldn't L be 364/365*7+14 at the next to last day of 2014? (just to clarify how I interpret the continuous flow of age)


I'm not sure, but I think it's common rule. For example when some shop make age restrictions on alcohol sale. They do not use continuous flow of age. There is two possible variants: you are 21 and you can bye product or you fewer than 21 and you can't bye this product.
And it doesn't matter that today you are 20 and tomorrow will be 21.
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Harley1980
MarkusKarl
Wouldn't L be 364/365*7+14 at the next to last day of 2014? (just to clarify how I interpret the continuous flow of age)


I'm not sure, but I think it's common rule. For example when some shop make age restrictions on alcohol sale. They do not use continuous flow of age. There is two possible variants: you are 21 and you can bye product or you fewer than 21 and you can't bye this product.
And it doesn't matter that today you are 20 and tomorrow will be 21.

I get your point, but I don't think that this is really addressing my concern.

I will simply hope that the GMAT will not include such a question when I do my test. :)
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MarkusKarl
Harley1980
MarkusKarl
Wouldn't L be 364/365*7+14 at the next to last day of 2014? (just to clarify how I interpret the continuous flow of age)


I'm not sure, but I think it's common rule. For example when some shop make age restrictions on alcohol sale. They do not use continuous flow of age. There is two possible variants: you are 21 and you can bye product or you fewer than 21 and you can't bye this product.
And it doesn't matter that today you are 20 and tomorrow will be 21.

I get your point, but I don't think that this is really addressing my concern.

I will simply hope that the GMAT will not include such a question when I do my test. :)

My take on this is "question says rounding all age down to there nearest integer value, so I rounded the age of Humans also, because it is also included in the question and we are comparing all ages in terms of X*human age. 2014,2015,2016 are the rounded age calculation points.
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dkumar2012


My take on this is "question says rounding all age down to there nearest integer value, so I rounded the age of Humans also, because it is also included in the question and we are comparing all ages in terms of X*human age. 2014,2015,2016 are the rounded age calculation points.


I interpreted that part differently than you as well. That's what actually made me want to pick 2014 after reconsidering.

I decided to round all ages at the end, and then I was at the end of the year 2014, rounding 2014 down instead of up it would yield 2014 as the answer.

But I'm dropping this now, I am afraid I am confusing people even more with this discussion.
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Okay so simply put here the answer is ambigupous. imho, it should be 2014, as we are rounding down all years by their own reference points. I have included below an excel table proving it. We are rounding down years by their own metric, which is the logical interpretation of the language. Calculating by 7ths, we get the following.


0.14285714YearsFloor A AgeFloor B AgeC AgeC Age *1SUM A+B
0850013
10.14285714851213
20.28571429962415
30.42857143973616
40.571428571074817
50.7142857110851018
60.8571428611961220
71121071422
81.14285714121081622
91.28571429131191824
101.428571431312102025
111.571428571412112226
121.714285711413122427
131.857142861514132629
1421615142831
152.142857141615153031
162.285714291716163233
172.428571431717173434
182.571428571817183635

Bunuel
Different breeds of dogs get older at different rates in “dog years.” Livonian wolfhounds age 7 times as fast as humans, whereas Khazarian terriers age 5 times as fast and Akkadian retrievers age 4 times as fast. If Dan bought a newborn Akkadian on January 1, 2010, a newborn Khazarian 1 year later, and a newborn Livonian 1 year after that, in what year will the sum of the dog-year ages of the Akkadian and the Khazarian first be exceeded by twice the age of the Livonian in dog years, rounding all ages down to the nearest integer?

A. 2013
B. 2014
C. 2015
D. 2016
E. 2017
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