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# A number of oranges are to be distributed evenly among a

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Re: A number of oranges are to be distributed evenly among a [#permalink]

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23 Sep 2014, 07:42
This prob apperared in my MGMAT CAT...really Bunuel this prob is quite ambiguous , just the wording ( esp atleast one clause after that even no of oranges) confused me then.
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Re: A number of oranges are to be distributed evenly among a [#permalink]

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01 Dec 2015, 03:31
jananijayakumar wrote:
A number of oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one orange. If there are 20 oranges to be distributed, what is the number of oranges per basket?

(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.

(2) If the number of baskets were doubled, it would no longer be possible to place at least one orange in every basket.

Below are the possible pairs of baskets and oranges
Baskets : 1 2 4 5 10 20
Oranges: 20 10 5 4 2 1

(1) The # of baskets is halved -> could be 20 -> 10, 10 -> 5, 4 -> 2 or 2 -> 1 Not sufficient
(2) The only value in the list of possible pairs gives us the answer Baskets = 20 because by all other possible values it's possible to have at least 1 Orange per basket
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Re: A number of oranges are to be distributed evenly among a [#permalink]

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18 Nov 2016, 23:20
I am not clear with the sufficiency of statement B.It says that no of baskets doubles such that number of oranges per basket is <1.

in this case 2b>20, which means that b can be any value >10 , b could be 18,19,20, and so on as 20 divided by that number of baskets will continue to be <1. For e.g 20/36=0.555 ,where b=18.
When we have various values to get less than 1,then how is it sufficient
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Re: A number of oranges are to be distributed evenly among a [#permalink]

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19 Nov 2016, 03:52
bhamini1 wrote:
I am not clear with the sufficiency of statement B.It says that no of baskets doubles such that number of oranges per basket is <1.

in this case 2b>20, which means that b can be any value >10 , b could be 18,19,20, and so on as 20 divided by that number of baskets will continue to be <1. For e.g 20/36=0.555 ,where b=18.
When we have various values to get less than 1,then how is it sufficient

Given: $$\frac{20}{b}=integer=x$$, basically we are told that # of baskets, $$b$$, is a factor of 20, so $$b$$ could be: 1, 2, 4, 5, 10, or 20.
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Re: A number of oranges are to be distributed evenly among a [#permalink]

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23 Jan 2017, 09:34
luckyme17187 wrote:
jananijayakumar wrote:
A number of oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one orange. If there are 20 oranges to be distributed, what is the number of oranges per basket?

(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.

(2) If the number of baskets were doubled, it would no longer be possible to place at least one orange in every basket.

I always used to afraid of word problem but i got this .

info from question:
A number of oranges are to be distributed evenly among a number of baskets . Each basket will contain at least one orange.

so total 20 oranges - when it is evenly distributed then basket count would be , factors of 20 i.e. 1, 2,4,5,10,20.

1. if there are 20 basket then each have 1 orange & if baskets are reduced to half then 10 baskets then 2 oranges in each.. but there are other possibility as well if there were 4 basket at the begin & its reduced to 2 baskets then 10 oranges in each.. so we could get more than 2 values for count of oranges in each basket. Not suff.

2. only one possible condition would suffice this statement . if there are 20 basket & each has one then when basket count is doubled then some baskets will not get oranges. hence there should be one orange per basket. Suff.

Thanks mate!! it helped me to understand. However, what if the number of oranges is 30? Will the answer be b alone as it gives 30 as answer?
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Re: A number of oranges are to be distributed evenly among a [#permalink]

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05 Sep 2017, 06:41
jananijayakumar wrote:
Very simple if one basic rule is known!

jananijayakumar and that is?
Re: A number of oranges are to be distributed evenly among a   [#permalink] 05 Sep 2017, 06:41

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