Latest M4maths Aptitude Question SOLUTION: in a group of cow and hen the no. of legs are 14 more than twice the number of head the no. of cow in the group is

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(#M40164501) M4MATHS Logical Reasoning question Keep an EYE

in a group of cow and hen the no. of legs are 14 more than twice the number of head the no. of cow in the group is

Asked In M4maths nishant singh (7 years ago)

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naveen kumar  (6 years ago)

le t no of cows are x let no of hen are y total no of heads are x+y no of legs are 4x+2y because cow has 4 leg and hen has 2 legs according to question legs 14 more than twice heads so 4x+2y=2x+2y+14 4x-2x=2y-2y+14=14 2x=14 x=7

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NABA KISHORE PADHY  (7 years ago)

Let be the number of cows be X & hens be Y
Total # of legs = 4X+2Y
According to question 2X+14 = 4X +2Y
By solving we get X+Y = 7. So min. & max. # of cows be 1 & 6 respectively.
By hit & check

Answers 1st 2nd 3rd 4th 5th 6th
# of Cows 1 2 3 4 5 6
# of Hens 6 5 4 3 2 1
# of Cow legs 4 8 12 16 20 24
# of hen legs 12 10 8 6 4 2
Total # of legs (A) 16 18 20 22 24 26
Twice Cow heads(B) 2 4 6 8 10 12
Difference (A)-(B) 14 14 14 14 14 14
So combination of Cows & hens are (1,6),(2,5),(3,4),(4,3),(5,2),(6,1).

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Gajendar koela  (6 years ago)

First twice the number of heads means each head 2 legs...now 14 more legs ..means 7 has pair of legs..I.e. 7 are cows

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