Latest CTS Aptitude Question SOLUTION: Q. In a farm 50 hens lays 200 eggs in 2 days, how many days that 20 hens to lay 400 eggs?

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Q. In a farm 50 hens lays 200 eggs in 2 days, how many days that 20 hens to lay 400 eggs?

Asked In CTS SRIKRISHNAN R (11 years ago)

Unsolved Read Solution (45)

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Praveen kumar  (11 years ago)

50 hens --- 200 eggs ---- 2 days
50 hens --- 100 eggs ---- 1 day
1 hen --- 2 eggs ---- 1 day
20 hens --- 40 eggs ---- 1 day
So 20 hens can lay 40 eggs in 1 day
then 20 hens can lay 400 eggs in 10 days (40*10=400)

Is this solution Helpfull? Yes (81) | No (8)  

NARAYANASWAMY P  (11 years ago)

50*2*400=20*200*x
so
x=10days

Is this solution Helpfull? Yes (36) | No (4)  

borra sravani  (11 years ago)

time and work related
MDH/W=const
50*2/200=20*x/400
x=10days.

Is this solution Helpfull? Yes (14) | No (1)  

pradeep kumar  (11 years ago)

Ans is 10 days.
50 Hens 200 Eggs in 2 Days
50 Hens 100 Eggs in 1 Day
1 Hen 2 Eggs in 1 Day
20 Hens 40 Eggs in 1 Day
20 Hens 400 Eggs in 10 Days.

So Ans is 10 days

Is this solution Helpfull? Yes (8) | No (1)  

Kiran Kumar Pradhan  (11 years ago)

50 hens 200 e in 2 days
20 hens in 1 days 40 eggs
then 400 eggs in 10 days

Is this solution Helpfull? Yes (6) | No (1)  

raghu  (11 years ago)

M*D/W = M*D/W
50*2/200 = 20*x/400
x= 100 days

Is this solution Helpfull? Yes (4) | No (6)  

Harika  (11 years ago)

10 days

50 hens 200 eggs n 2 days means 100 eggs in a day
means each hen can lay 2 eggs a day
so 20 hens can lay 40 eggs per day
so 400 eggs in 10 days

Is this solution Helpfull? Yes (2) | No   

vinothkanna  (11 years ago)

50 hens=200 eggs in 2 days.
50 hens=100 eggs in 1 day.
1 hen=100/50= 2 eggs in 1 day.
so 20 hens= 40 eggs in 1 day.
so it takes 10 days..

Is this solution Helpfull? Yes (2) | No (1)  

SANTANA PANDA  (10 years ago)

H1=50 W1=200 D1=2DAYS
H2=20 W2=400 D2=?
BY PUTTING FORMULA H1*W2*D1/H2*W1*D2
D2=50*400*2/20*200 =10ans..

Is this solution Helpfull? Yes (2) | No   

Amit Kumar  (9 years ago)

Hey Guys, for that type of ques:
always Use the following Formulae:
|------------------------------------|
|M1*D1*w2 = M2*D2*W1 |
|-------------------------------------|

eg:- Here M1= 50; D1= 2; W1=200; M2= 20; d2= ?? ; W2= 400
put all values in the above Formulae
50 *2*400 = 20 * d2* 200
=> D2= 10 ans
With Regards
Kumar Amit
https://www.facebook.com/kumaramitaryan ( Feel free To ask any Thing )

Is this solution Helpfull? Yes (2) | No   

Divya   (11 years ago)

50hens-200eggs-2days
1hen for 2days=200/50=4eggs
1hen for 1day=2eggs-->(1)
20hens-400eggs-xdays
1hen for 1day=2eggs (as per statement 1)
20hens for 1day=40eggs
20hens for xdays=400eggs
40x=400
x=10

Is this solution Helpfull? Yes (1) | No (1)  

mepcomca  (11 years ago)

From the Given details:
50 hens takes 2 days for laying 200 eggs,
50 hens takes 1 day for laying 100 eggs,
so 1 hen lays 2 eggs in 1 day.

Coming to the problem:
20 hens lays 40 eggs in 1 day
so 20 hens may lays 400 eggs in 10 days.
Answer is 10 days..
any information mail to: matheswarenkrm@gmail.com, kanthsenthil007@gmail.com

Is this solution Helpfull? Yes (1) | No   

UGAN JHA  (11 years ago)

10 days.
simple math rule apply(2*50*400)/(20*200)

Is this solution Helpfull? Yes (1) | No   

rakesh  (10 years ago)

Friends logic here is very simple ..

50 hens lays 200 eggs in 2 days [ it means 100 per day (it means each hen lays 2 eggs) ]

therefor 20 hens lays 40 eggs per day , therefore 400/40 = 10 days .

Is this solution Helpfull? Yes (1) | No   

Teja  (10 years ago)

i got this question in amcat cts exam

Is this solution Helpfull? Yes (1) | No   

kandan N  (9 years ago)

50 hen * 2 Egg * 2 day =200
20hen * 2Egg * 10days=400

Is this solution Helpfull? Yes (1) | No   

Shaik Jaheer Basha  (9 years ago)

time and work method
(M1*D1)/W1 = (M2*D2)/W2
where
M =members
D = days
W = work
now see here
M1= 50 hens
D1 = 2 days
w1 = 200 eggs
and

M2 = 20 hens
D2 = ? lets take x
W2 = 400 eggs


(50*2)/200 = (20*x)/400
after calculation x = 10
so that 20 hens takes 10 days to lay 400 eggs

Is this solution Helpfull? Yes (1) | No   

Venkateshwaran S  (11 years ago)

50hens lays 200 eggs in 2 days so 200/50=4 . 4 eggs are laid by 1 hen in 2 days.so 1 hen can lay 2 eggs per day. so 20 hens can lay 40 eggs per day so 40* 10=400. It takes 10 days to lay 400 eggs by 20 hens

Is this solution Helpfull? Yes | No (2)  

siva kumar  (11 years ago)

50hens=>200eggs=>2days;
50hens=>100eggs=>1days;

1 hen=100/50 =>2eggs

20hen=>20*2=40eggs (in 1day)

no of days= 400(total egg)/40(in 1 day)

no of days=10 ;

Is this solution Helpfull? Yes | No (1)  

nijanthan  (11 years ago)

1 day a hen lays 2 egg hence 2 days 50 hens lays 200 egg therefore 20 hens lays per day 0 eggs then it takes 10 days for 400 eggs

Is this solution Helpfull? Yes | No   

rajveer singh  (11 years ago)

10 days to lay eggs.....

Is this solution Helpfull? Yes | No   

Gayathri Muthraman  (11 years ago)

50 hens 200 eggs 2 days..
20 hens 400 eggs ? days..
simplify this,we get 10 days.

Is this solution Helpfull? Yes | No (1)  

ajay  (11 years ago)

50 hens lays 200 eggs in 2days then 20hens to lay 400eggs int 10days .

Is this solution Helpfull? Yes | No   

satishnaidu  (10 years ago)

By applying chain rule we can get the answer.The process is like this

Hens Eggs Days
----------------------
50 ----> 200 --->2
20 ----> 400 --->?

so we have to find the days right
first put the days which is above the ? mark line and
then now compare hens and days lines we will get it like this

hens days
------------
50 2
20 ?

now assume for 50 hens only 2 days
for 20 hens it may take more days then what 50 hens take so (more / less)according to chain rule,so we have 50/20
like this compare eggs and days line also...
so finally we got like this 2*50/20*400/200
after solving we got 10 days this is the answer folks :)

Is this solution Helpfull? Yes | No   

saipratyusha   (10 years ago)

50hens --------200eggs-------2days
20hens ---------400eggs--------??
friends see here 50 hens are laying 200 eggs in 2days then 20 hens will lay 400 eggs in more number of days .
so (more/less)
=>(50/20)(400/200)*2
=10
for these kind of sums if you consider more/less it will be easy

Is this solution Helpfull? Yes | No   

shabanabegum  (10 years ago)

50*2/200=20*x*/400=>10days

Is this solution Helpfull? Yes | No   

abinaya  (10 years ago)

50 hens in 1 day=200 eggs
1 hen in 1 day=4 eggs
so,
20 hen in 1 day=80
but we need to find ,in how many days 20 hens lay 400 eggs ,so 5*80=400
so it takes 5 days for 20 hens to lay 400 eggs

Is this solution Helpfull? Yes | No   

sruthi  (10 years ago)

10 days
50*2/200=20*x/400
x=10

Is this solution Helpfull? Yes | No   

Lakshmi Lavanya Tamrapalli  (9 years ago)

Ans is 10 days

Is this solution Helpfull? Yes | No   

anantatdas.dilan@gmailcom  (9 years ago)

50 hens - 200 eggs - 2 days
50 hens - 100 eggs - 1 day
1 hen - 2 egg - 1 day
20 hens - 40 eggs - 1 day
then 400 eggs will be laid in 400/40= 10 days by 20 hens.

Is this solution Helpfull? Yes | No   

V.Latha  (9 years ago)

chain rule mdh /w = c
50*2*400/(200*20) = x = 10days

Is this solution Helpfull? Yes | No   

Mukesh  (9 years ago)

50 Hens - - - 2 Days - - - 200 Eggs
1 Hen --------- 1 Day-------200/(50*2) = 2 Eggs
20 Hens - - - -1 Day - - - - 2 *20 = 40 Eggs
So, For 400 Eggs They Will Take 10 Days :)

Is this solution Helpfull? Yes | No   

Nitheesh Aithu  (9 years ago)

10 days since 50*2*400=20*200*x
solving for x we get 10 days

Is this solution Helpfull? Yes | No   

kundan prasad  (9 years ago)

Ans:10 Day

Is this solution Helpfull? Yes | No   

Sathish kumar  (9 years ago)

using chain rule.
hens days eggs
50 2 200
20 x 400
50x2x400=20xXx200
40000=4000x
x=10

Is this solution Helpfull? Yes | No   

rahul  (9 years ago)

(50*2)/200=(20*x)/400
solving the above equation we get x=10days

Is this solution Helpfull? Yes | No   

mohammad imran  (9 years ago)

10 days
50 hens 2 day 200 eggs
50 hens 1 day 100 eggs
20 hens 1 day 40 eggs(100/50*2)
so 20 hens 400 eggs in 10 day(40*10=400)

Is this solution Helpfull? Yes | No   

rahul kumar  (9 years ago)

(50*2)/200 =(20*D)/400
D=10

Is this solution Helpfull? Yes | No   

Nitin Maheshwari  (9 years ago)

50 hens=200 eggs in 2 days
5 hens =20 eggs in 2 days
20 hens= 80 eggs in 2 days
20 hens=400 eggs in 10 days
10 days

Is this solution Helpfull? Yes | No   

Jettin Joy  (9 years ago)

Hen Ratio 20:50
Egg Ratio 200:400
Day Ratio 2:x
X=500*400*2/200*20
X=10

Is this solution Helpfull? Yes | No   

krishhnakuamr  (8 years ago)

50/200=40/2=20
20/400=20/2=10

Is this solution Helpfull? Yes | No   

Nitheesh Aithu  (8 years ago)

10
2 days -200 eggs
=> 1 day-100 eggs
100 eggs by 50 hen => 2 eggs by 1 hen in 1 day
given 20 hen =>20*2=40 eggs per day
to get 400 eggs we need 400/40=10 days

Is this solution Helpfull? Yes | No   

Pratik Kumar  (6 years ago)

Deccrease in number of eggs will decrease the days required, so divide.
While decrease in number of hen will increase the number of days required, so multiply.
So
50hen---200eggs = 2 days
01hen---200eggs = 2*50 days
01hen---1 eggs = (2*50)/200 days
20hen--- 400eggs = (2*50*400)/(200*20)
= 10 days

Is this solution Helpfull? Yes | No   

jahiruddin  (6 years ago)

(M*D*H)/W = (m*d*h)/w
50*2/200 = 20*d/400
d = 10

Is this solution Helpfull? Yes | No   

Sai Charan Reddy Gogireddy  (4 years ago)

50 hens =200 eggs in 2 days
1 day, 50 hens 100 eggs
1hen = 100/50=2
20 hens *2 per day = 40
400/40 = 10
10 days

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