Question

A dozen Mirrors are falling from certain height. Then the ratio of broken to unbroken mirrors may NOT be in the ratio

• A. 5:1
• B. 1:2
• C. 3:4
• D. 1:3

Hint:

For "Impossible Ratio" questions, just add the two numbers in the ratio. If the sum doesn't divide into the total, that's your answer.

Answer 1

The Correct Option is C

Step 1: Concept
The total number of items (a dozen = 12) must be divisible by the sum of the ratio parts.

Step 2: Meaning
(A) 5:1 $\Rightarrow$ $5+1=6$. 12 is divisible by 6. (B) 1:2 $\Rightarrow$ $1+2=3$. 12 is divisible by 3.

Step 3: Analysis
(C) 3:4 $\Rightarrow$ $3+4=7$. 12 is not divisible by 7. (D) 1:3 $\Rightarrow$ $1+3=4$. 12 is divisible by 4.

Step 4: Conclusion
Since you cannot have a fraction of a mirror, the ratio 3:4 is impossible for 12 mirrors. Final Answer: (C)