Latest Others Aptitude Question SOLUTION: A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

• Placement Papers
• /
• Others

Others Question Papers:

(#M40003276) OTHERS question classic problem Keep an EYE

A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

Asked In Others (12 years ago)

Unsolved Read Solution (3)

Is this Puzzle helpful?   (10)   (2) Submit Your Solution

Read Solution (3) :

Dr.Dipin Singh  (12 years ago)

3 hens
a hen and a half can lay an egg and a half in a day and a half.
a hen can lay an egg in a day and a half.
One egg can be laid in 1.5 days by 1 hen
12 eggs can be laid in 6 days by 1*12*1.5/6 = 3 hens

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

Flower  (12 years ago)

H hens × 6 days × 2/3 eggs per hen·day = 12 eggs

Solving for H, we get:
H = 12 eggs /(6 days × 2/3 eggs per hen·day) = 12/4 = 3 hens

Therefore, the farmer needs 3 hens to produce 12 eggs in 6 days.

Is this solution Helpfull? Yes (2) | No (4)  

HARJINDER SINGH  (10 years ago)

To solve the problem, we first need to find the rate at which the hens lay eggs. The problem can be represented by the following equation, where RATE is the number of eggs produced per hen·day:

1½ hens × 1½ days × RATE = 1½ eggs
We convert this to fractions thus:
3/2 hens × 3/2 days × RATE = 3/2 eggs

Multiplying both sides of the equation by 2/3, we get:
1 hen × 3/2 days × RATE = 1 egg

Multiplying both sides of the equation again by 2/3 and solving for RATE, we get:
RATE = 2/3 eggs per hen·day

Now that we know the rate at which hens lay eggs, we can calculate how many hens (H) can produce 12 eggs in six days using the following equation:

H hens × 6 days × 2/3 eggs per hen·day = 12 eggs

Solving for H, we get:
H = 12 eggs /(6 days × 2/3 eggs per hen·day) = 12/4 = 3 hens

Therefore, the farmer needs 3 hens to produce 12 eggs in 6 days.

Is this solution Helpfull? Yes (1) | No   

Please Login to Read Solution.