Question

The nine-dot problem is: A. often solved suddenly with a burst of insight. B. difficult because people assume constraints that are not part of the problem. C. solved through fast mapping. D. both a and b.

Short answer

a) It is often solved suddenly with a burst of insight. b) It is difficult because people assume constraints that are not part of the problem. c) It is solved through fast mapping. d) Both a and b Answer: d) Both a and b

Step-by-step solution

Understand the nine-dot problem

The nine-dot problem is a classic puzzle that challenges people to connect nine dots, arranged in a grid of three rows and three columns, using only four straight lines without lifting the pencil. The solution requires creative and lateral thinking as it involves drawing the lines beyond the perceived boundary of the grid.

Analyze Option A

The first option (A) states that the nine-dot problem is "often solved suddenly with a burst of insight." This is true, as the solution typically requires a sudden shift in perception or a moment of insight wherein an individual sees the problem from a different perspective.

Analyze Option B

The second option (B) states that the nine-dot problem is "difficult because people assume constraints that are not part of the problem." This statement is also accurate, as the primary reason people struggle with the puzzle is that they impose artificial constraints on their thinking, such as believing the lines must remain within the grid.

Analyze Option C

The third option (C) claims that the nine-dot problem is "solved through fast mapping." Fast mapping is a term used in psychology and refers to the rapid acquisition of new information, especially in language learning. This concept is not directly related to the nine-dot problem, so we can rule out this option.

Analyze Option D

The last option (D) is "both a and b," which combines the first two options. As our analysis of options A and B showed that both are accurate, we can consider this option as the correct response.

Choose the correct answer

Based on our analysis of the provided options, we can conclude that the correct answer is Option D: both A and B. The nine-dot problem is often solved suddenly with a burst of insight and is difficult because people assume constraints that are not part of the problem.