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If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?
  • a)
    1 day
  • b)
    4 days
  • c)
    40 days
  • d)
    100 days
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice i...
Less cats, more days   
(Indirect Proportion)
Less mice, less days   (Direct Proportion)
Let the required number of days be x.
Cat 4: 100}  :: x : 100
Mice 100 :   4 
100 * 4 * x = 4 * 100 * 100 or x = (4 * 100 * 100) / (100*4) =100.
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Most Upvoted Answer
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice i...
Given:
- 100 cats kill 100 mice in 100 days
To Find:
- 4 cats would kill 4 mice in how many days
Solution:
- Let's assume the number of cats and mice are directly proportional to the number of days it takes for them to kill each other.
- So, we can write the equation as follows:

Number of cats * Number of days = Number of mice * Number of days

- If we plug in the values from the given information, we get:

100 cats * 100 days = 100 mice * 100 days

- Simplifying the equation, we get:

10000 = 10000

- This equation is true, so we can say that the assumption we made earlier is correct.
- Now, we can use this equation to find the number of days it would take 4 cats to kill 4 mice:

4 cats * Number of days = 4 mice * Number of days

- We can simplify the equation as follows:

4 * Number of days = 4 * 100

Number of days = 100

- Therefore, it would take 4 cats to kill 4 mice in 100 days.

Answer:
- Option (D) 100 days
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If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?a)1 dayb)4 daysc)40 daysd)100 daysCorrect answer is option 'D'. Can you explain this answer?
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