Aptitude - Simplification - Discussion
Discussion Forum : Simplification - General Questions (Q.No. 13)
13.
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
Answer: Option
Explanation:
Let the number of hens be x and the number of cows be y.
Then, x + y = 48 .... (i)
and 2x + 4y = 140 
x + 2y = 70 .... (ii)
Solving (i) and (ii) we get: x = 26, y = 22.
The required answer = 26.
Discussion:
67 comments Page 2 of 7.
Chhatra Thapa said:
4 years ago
140/2 = 70-48.
=22 is cow and the rest are hens=26.
=22 is cow and the rest are hens=26.
(1)
Avnalti said:
4 years ago
If you number of hens then you have to find the number of legs of cow, based on the given heads.
And that subtract from given total legs, what you get that divided by 2 that's number of hens
i.e. 4*48 = 192 - 140 = 52/2 = 26 hens are there.
If you want a number of cows.
2*48 = 96.
140 - 96 = 44/2 = 22.
And that subtract from given total legs, what you get that divided by 2 that's number of hens
i.e. 4*48 = 192 - 140 = 52/2 = 26 hens are there.
If you want a number of cows.
2*48 = 96.
140 - 96 = 44/2 = 22.
Dinesh Shah said:
5 years ago
Easy way of solution.
48 ( All head) *2 = 96 ( Counting only 2 legs for all ) remaining legs are; 140-96=44 (so these legs are cow's legs)
Then divide by 2 ( 2 legs are already counted remain 2 for all cow ).
44/2=22 cows then Hen= 48-22 = 26.
48 ( All head) *2 = 96 ( Counting only 2 legs for all ) remaining legs are; 140-96=44 (so these legs are cow's legs)
Then divide by 2 ( 2 legs are already counted remain 2 for all cow ).
44/2=22 cows then Hen= 48-22 = 26.
(1)
Abhishek das said:
5 years ago
Let us consider the hens=x
Cows= 48 - x.
Hens have 2 feets and cows have 4 feets therefore x*2+(48-x)*4.
so,as per question total no feets are 140.
now, 2x + 192 - 4x = 140.
So, x = 26.
Cows= 48 - x.
Hens have 2 feets and cows have 4 feets therefore x*2+(48-x)*4.
so,as per question total no feets are 140.
now, 2x + 192 - 4x = 140.
So, x = 26.
Manpreet singh said:
5 years ago
Total no.of head= 48.
Total no.of feet = 140.
Hen : Cow
2 : 2+2. (Feet)
= 48*2
= 96.
Then 140 - 96 = 44,
And 44÷2 = 22.
Divide by 2 means cow's 2 feet are remaining.
22 are cow and 48-22=26 are hens.
Total no.of feet = 140.
Hen : Cow
2 : 2+2. (Feet)
= 48*2
= 96.
Then 140 - 96 = 44,
And 44÷2 = 22.
Divide by 2 means cow's 2 feet are remaining.
22 are cow and 48-22=26 are hens.
Hanock said:
5 years ago
Can anyone please tell me how this 140 came?
Hens 48*2=96.
Cows 48*4=192.
Hens 48*2=96.
Cows 48*4=192.
Appikuttan said:
6 years ago
(Leg÷2) - head = 4legged animals.
Santosh shindhe said:
6 years ago
140/2 = 70-48 = 22.
48-22 = 26.
Thanks all.
48-22 = 26.
Thanks all.
Pradyumn yadav said:
6 years ago
No of feet of hens = 48 * 2 = 96,
So no cows legs = 140-96 = 44
No of cows = 44/2 = 22,
No of hens = 48-22 = 26.
So no cows legs = 140-96 = 44
No of cows = 44/2 = 22,
No of hens = 48-22 = 26.
Swadhin mezan said:
6 years ago
Very helpful, Thanks all.
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