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Four elves were working on the bicycle assembly line at North Pole Cen

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Bunuel
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Four elves were working on the bicycle assembly line at North Pole Cen [#permalink] New post   12 Feb 2016, 12:11
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Four elves were working on the bicycle assembly line at North Pole Central yesterday. Did one of the elves build at least three bicycles yesterday?

(1) Together they built 8 bicycles yesterday on the assembly line.
(2) No two elves built the same number of bicycles.
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chetan2u
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Four elves were working on the bicycle assembly line at North Pole Cen [#permalink] New post   12 Feb 2016, 20:47
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Bunuel wrote:
Four elves were working on the bicycle assembly line at North Pole Central yesterday. Did one of the elves build at least three bicycles yesterday?

(1) Together they built 8 bicycles yesterday on the assembly line.
(2) No two elves built the same number of bicycles.


Hi,

INFO;-
four elves are working..
did any one make atleast 3 bicycles..

lets see the choices...
(1) Together they built 8 bicycles yesterday on the assembly line.
if each of them makes two .. answer is NO..
if even one of them makes less than, someone will do atleast 3.... ans is YES
INSUFF..
lets see could a slight change in statements made it SUFF..
1) Instead of 8 cycles, if they made 9 cycles, one of them had to make atleast 3..
2) If we were told that atleast two made different number of cycles..

(2) No two elves built the same number of bicycles.

whenever we see a Q giving some restrictions, we should look out for more info there..
the restrictions could be : max value, min value, no two same value, all same value etc

since no two make same number, lets test for minimum values..
say The greatest number is 2, as we are looking for atleast 3..
then other three will have to make 1,0,-1..
negative number does not make sense

so least numbers=0,1,2,3
ans is YES always
Sufficient
B
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Re: Four elves were working on the bicycle assembly line at North Pole Cen [#permalink] New post   15 Feb 2016, 05:35
why isn't the answer E? How do we know that the work output of each elf is an integer number of bicycles? What if their individual rates produce fractional work outputs?
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Re: Four elves were working on the bicycle assembly line at North Pole Cen [#permalink] New post   16 Feb 2016, 15:10
amtanker wrote:
why isn't the answer E? How do we know that the work output of each elf is an integer number of bicycles? What if their individual rates produce fractional work outputs?



Even if?
Can there be 4 different positive fractions that add up to 8 and none of the fractions is up to 3 in value?

Well you can do the stress and find out and tell us.
I'm a learner.
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Re: Four elves were working on the bicycle assembly line at North Pole Cen [#permalink] New post   15 Jun 2022, 09:02
Bunuel wrote:
Four elves were working on the bicycle assembly line at North Pole Central yesterday. Did one of the elves build at least three bicycles yesterday?

(1) Together they built 8 bicycles yesterday on the assembly line.
(2) No two elves built the same number of bicycles.



1- Since their individual working rates and timings are not given, we can’t actually know who built how many? There could be a case where they all built 0 or they all built 4.

2- no two have built same no. of bicycle.
Lets take a case- 0,1,2,3. Since 0 can’t appear twice. This has be the case for minimum no. Of bikes built. You take any case it will always be for an individual making more than 3 bikes.
B is the answer.
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Re: Four elves were working on the bicycle assembly line at North Pole Cen [#permalink] New post   06 Jan 2024, 07:56
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Re: Four elves were working on the bicycle assembly line at North Pole Cen [#permalink]
06 Jan 2024, 07:56
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