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.
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.
Sarthak said:
1 decade ago
Why haven't they count the head and feet of the man?
It should be:-
1+x+y = 48.
x+y = 47 ---- (1).
And 2+2x+4y = 140.
=> 2x+4y = 138 ---- (2).
By solving no.of hens (x) is 25.
It should be:-
1+x+y = 48.
x+y = 47 ---- (1).
And 2+2x+4y = 140.
=> 2x+4y = 138 ---- (2).
By solving no.of hens (x) is 25.
Prasoon said:
4 years ago
Head - 48.
Feet - 140.
2 x 48.
96.
No of 2 wheelers over,
2 legs of all 4 wheelers is given.
So all 2 legs remain.
140-96=44.
44÷2=22.
22 there are cows.
So, 48 - 22=26 are hens.
Feet - 140.
2 x 48.
96.
No of 2 wheelers over,
2 legs of all 4 wheelers is given.
So all 2 legs remain.
140-96=44.
44÷2=22.
22 there are cows.
So, 48 - 22=26 are hens.
(2)
Venu said:
9 months ago
Logic
Total heads = 48(hens + cows)
Total Legs = 140(hens + cows)
Let, hens be x then;
According to the question;
Hen = 2Legs, cow = 4 legs
2x + 4(48-x) = 140.
2x = 52,
x = 26.
Total heads = 48(hens + cows)
Total Legs = 140(hens + cows)
Let, hens be x then;
According to the question;
Hen = 2Legs, cow = 4 legs
2x + 4(48-x) = 140.
2x = 52,
x = 26.
(4)
ASHIK.K.S said:
8 years ago
Applying L/2-h.
First step : L/2=140/2=70,
Second step :L/2-h=70-48=22(no.of cows),
Last step:no.of cows=22,
Total heads=48,
There fore,
The no.of hens=48-22=26.
First step : L/2=140/2=70,
Second step :L/2-h=70-48=22(no.of cows),
Last step:no.of cows=22,
Total heads=48,
There fore,
The no.of hens=48-22=26.
Afadmin said:
6 years ago
It can be solved by;
Total legs/2 - total head = total no of 4 legs animal.
= 140/2 - 48.
= 70 - 48 = 22 four legs animal,
Total 48. So 26 two legs animal means hens here.
Total legs/2 - total head = total no of 4 legs animal.
= 140/2 - 48.
= 70 - 48 = 22 four legs animal,
Total 48. So 26 two legs animal means hens here.
Devan mavani said:
7 years ago
Short cut
Total legs/2 - total head = total no of 4 legs animal.
= 140/2 - 48.
= 70 -48 = 22 four legs animal,
Total 48. So 26 two legs animal means hens here.
Total legs/2 - total head = total no of 4 legs animal.
= 140/2 - 48.
= 70 -48 = 22 four legs animal,
Total 48. So 26 two legs animal means hens here.
Kaushlendra singh said:
1 decade ago
Let no.of hens = x.
So no.of cows = 48-x.
Therefore,
2x + 4*(48-x) = 140.
=> -2x = 140 - 192.
=> -2x = -52.
=> x = 26.
So no.of cows = 48-x.
Therefore,
2x + 4*(48-x) = 140.
=> -2x = 140 - 192.
=> -2x = -52.
=> x = 26.
Sravani said:
1 decade ago
@Shri.
You have mistaken X+Y = 48.....1.
X+2Y = 70.2.
Subtract 1 from 2.
We get Y = 22.
By substituting we get X value 26.
You have mistaken X+Y = 48.....1.
X+2Y = 70.2.
Subtract 1 from 2.
We get Y = 22.
By substituting we get X value 26.
Pawan thapar said:
9 years ago
Hens:
48 * 2
Cows:
48 * 4
By using allegation & mixture rule,
The number of hens is 26 and number of cows is 22.
48 * 2
Cows:
48 * 4
By using allegation & mixture rule,
The number of hens is 26 and number of cows is 22.
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