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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?
Most Upvoted Answer
If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice i...
Question Analysis:
The question states that 100 cats can kill 100 mice in 100 days. We need to find out how many days it would take for 4 cats to kill 4 mice. To solve this problem, we can use the concept of ratios and proportions.

Solution:
To find out how many days it would take for 4 cats to kill 4 mice, we can set up a proportion based on the given information.

Let's assume that the number of cats and the number of mice are directly proportional to the number of days. This means that if the number of cats and the number of mice decrease, the number of days would also decrease in the same ratio.

Step 1: Set up the proportion:
Let x be the number of days it would take for 4 cats to kill 4 mice.
We can set up the proportion as follows:
100 cats/100 mice = 4 cats/4 mice

Step 2: Simplify the proportion:
Since the number of cats and the number of mice are the same on both sides of the proportion, we can simplify it further:
100/100 = 4/4

Step 3: Solve for x:
Now we need to solve for x. We can do this by cross-multiplying:
100 * 4 = 100 * 4
400 = 400

Step 4: Determine the value of x:
Since 400 = 400, this means that the value of x is equal to 1. Therefore, it would take 4 cats to kill 4 mice in 1 day.

Answer:
Therefore, the correct answer is option (a) 1 day.
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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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