Category: Fluid Reasoning
Difficulty: Medium
Result: Wrong
15. Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145. Which does he like:
- 10
- 50
- 124
- 200
- 1600◀ Correct Answer
This question tests your fluid reasoning and pattern recognition skills by requiring you to identify the underlying rule that determines which numbers Ralph likes and which he does not. Let's analyze the given information:
- Ralph likes 25: 25 is a perfect square (52 = 25).
- He does not like 24: 24 is not a perfect square.
- Ralph likes 400: 400 is a perfect square (202 = 400).
- He does not like 300: 300 is not a perfect square.
- Ralph likes 144: 144 is a perfect square (122 = 144).
- He does not like 145: 145 is not a perfect square.
The pattern emerges that Ralph likes numbers that are perfect squares, which are integers squared, resulting in a whole number. He does not like numbers that are not perfect squares.
Now, let's examine the options provided:
- 10: 10 is not a perfect square (no integer squared equals 10).
- 50: 50 is not a perfect square.
- 124: 124 is not a perfect square.
- 200: 200 is not a perfect square.
- 1600: 1600 is a perfect square (402 = 1600).
Therefore, Ralph likes 1600, as it fits the pattern of being a perfect square.
This problem assesses your ability to recognize numerical properties and patterns, specifically the concept of perfect squares. Identifying that Ralph prefers perfect squares demonstrates strong fluid reasoning and mathematical insight. Such skills are essential for problem-solving and logical analysis in various quantitative contexts.