Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 17)
17.
There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?
20
30
50
60
Answer: Option
Explanation:

Let x and y be the number of deer and peacocks in the zoo respectively. Then,

x + y = 80 ...(i) and

4x + 2y = 200 or 2x + y = 100 ...(ii)

Solving (i) and (ii), we get) x = 20, y = 60.

Discussion:
13 comments Page 1 of 2.

Ramesh Gupta said:   8 years ago
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.
(3)

Engr tanoli said:   1 decade ago
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.
(1)

Arup Das said:   3 years ago
L/2 - H.
= 200/2 - 80.
= 100 - 80,
= 20.
(1)

Raju said:   1 decade ago
Can anyone tell me how to solve above question through allegation method?

Saravanan said:   1 decade ago
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:   9 years ago
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:   9 years ago
Short method let peacock p and dear 80-p.
2p+4(80-p) = 200.
2p+320-4p = 200.
-2p = -120.
P = 60.

Pooja said:   9 years ago
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:   8 years ago
X+y = 80.
4x+2y = 200.
Then multiple with 4.
4x+4y = 320,
4x+2y = 200,
2y = 120,
Y = 60.

Viki said:   8 years ago
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?


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