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select the related word/ letters/number from the given alternatives.
9: 50 : : ?
  • a)
    22 : 110
  • b)
    18 : 190
  • c)
    15 : 225
  • d)
    20: 105
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
select the related word/ letters/number from the given alternatives.9:...
Understanding the Problem
The problem presents a ratio between the numbers, suggesting a relationship. We need to find a pair of numbers that maintains a similar relationship as 9:50.

Finding the Pattern
To determine the relationship between 9 and 50, we can analyze how the second number is derived from the first.
- **Calculate the Ratio:**
- The ratio of 9 to 50 can be simplified by dividing both terms:
- \( \frac{50}{9} \approx 5.56 \)

Applying the Same Logic
Now we will apply this ratio to each of the given options to see which one maintains a similar relationship.
- **Option A: 22 : 110**
- \( \frac{110}{22} = 5 \) (Not similar to 5.56)
- **Option B: 18 : 190**
- \( \frac{190}{18} \approx 10.56 \) (Not similar to 5.56)
- **Option C: 15 : 225**
- \( \frac{225}{15} = 15 \) (Not similar to 5.56)
- **Option D: 20 : 105**
- \( \frac{105}{20} = 5.25 \) (Closer to 5.56 than the others)

Conclusion
Among the options, option D (20:105) maintains the closest relationship to the original ratio of 9:50. Therefore, the correct answer is option 'D'.
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