### Discussion :: Arithmetic Reasoning - Section 1 (Q.No.17)

Raju said: (Feb 5, 2013) | |

Can anyone tell me how to solve above question through allegation method? |

Engr Tanoli said: (Jul 25, 2013) | |

Total Numbers of heads = 80(consist on peacock's and deer heads). Let X be the dear heads, and y be the peacock heads. Deer heads +peacock heads = Total heads. X+Y = 80 ------- 1. Each deer 4 legs and each peacock 2 legs, now total given legs 200. Deer legs+peacock legs = total legs. 4X+2Y = 200. 2(2X+Y) = 200. 2X+Y=100 ------- 2. Solving (i) and (ii), we get x = 20, y = 60. |

Saravanan said: (Jan 7, 2014) | |

Let x as deer and y as Peacock. Now, x+y=80--(i). 4x+2y=200--(ii). Solve (i) and (ii) by multiplying (i) by 4. y = 60 . Peacock = 60. |

Satwinder Singh said: (Mar 19, 2016) | |

Short method let peacock p and dear 80-p. 2p+4(80-p) = 200. 2p+320-4p = 200. -2p = -120. P = 60. |

Satwinder Singh said: (Mar 19, 2016) | |

Short method let peacock p and dear 80-p. 2p+4(80-p) = 200. 2p+320-4p = 200. -2p = -120. P = 60. |

Pooja said: (May 3, 2016) | |

Simply multiply number of heads by 2. So, 80 * 2 = 160. Now subtract this no by the no of heads it's 200 - 160 = 40 Now divide 40 by 2 it's 20. 20 are the number of deer. So, 80 - 20 = 60 => peacock. |

Rahul said: (Jun 2, 2017) | |

X+y = 80. 4x+2y = 200. Then multiple with 4. 4x+4y = 320, 4x+2y = 200, 2y = 120, Y = 60. |

Viki said: (Jul 11, 2017) | |

There are x elephant and x man if the number both legs are 100 and number of both head is 50 then how many number elephant and how many numbers of man? |

Ramesh Gupta said: (Aug 8, 2017) | |

Well, This is very one touch simple trick : (By this trick we will found always two leg animals) Given : Total Heads = 80, Total Legs =200. Now, The Trick is; Two Leg Animal = (Total Legs - Total Heads)/2. So, Two Leg Animal = (200-80)/2 = 60 Peacock. |

Shahrukh Mansuri said: (Nov 1, 2017) | |

The Trick is = total legs - (total heads*reverse legs)/difference of animal legs. 200-(80*4)/2 = 60 Peacock. |

Venkat said: (Feb 10, 2018) | |

Here total heads =80, legs=200, 60*2=120, 20*4=80, 120+80=200 legs, here 20=deers, 60=peacocks. |

Shreyas Singh said: (Feb 6, 2021) | |

Heads = 80(total heads)÷2(no. Of animals) = 40, Legs = 200(total legs)÷2(no.of animals) = 100. Now, 100 - 40 = 60 peacocks. Becoz total head was 80 n it's logics that less heads more legs n more heads less legs. For this type of questions; Another way only ÷legs i.e. 200÷2=100 now 100-80( total heads). = 20 again concept and logic are the same above mentioned. Less leg more heads less heads more legs. |

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