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# Confusing yet Convincing Hen Problem (maths)

Tue 1 May, 2012 06:53 am
101. A hen hatches 5 eggs. Out of 5, few are female while other are male. Out of these, few hens again hatch two eggs (one male, one female) while other hens hatch one egg (only male). If there are 7 females total and 5 males overall, find number of hens which hatch only single egg.
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raprap

1
Tue 1 May, 2012 08:58 am
@sandy111,
none
sandy111

1
Tue 1 May, 2012 10:14 am
@raprap,
its wrong answer.....can u explain how none>?
raprap

1
Tue 1 May, 2012 10:52 am
@sandy111,
She lays 5 eggs, 2 roosters , 3 hens
The three hens each lay two eggs, three more hens, three more roosters
the total number of hens is 1+3+3=7
the total number of roosters is 2+3=5
so no hen lays a single egg.

Rap

1
Tue 1 May, 2012 11:20 am
@sandy111,

Generation 1: 1 Hen
Generation 2: 4 hens, 1 cock (in this generation, 2 hens lay two eggs, two hens lay one egg)
Generation 3: 2 hens, 4 cocks

Total: 7 hens, 5 cocks.

Two cocks are hatched from hens that lay one-egg clutches.

1
Tue 1 May, 2012 11:24 am
@raprap,
The riddle states that some hens hatch two eggs, and some hens hatch one egg.

While the number of animals works out in your solution, it is excluded because it does not meet the required conditions.
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sandy111

1
Wed 2 May, 2012 02:27 am
u r correct. 2 hens hatch single egg each.
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