The pH scale measures the acidity or basicity of a solution. A pH value less than 7 indicates an acidic solution, while a pH value greater than 7 indicates a basic solution. The provided answer states that if a solution with a pH of 6 is diluted by 100 times, the resulting solution would be basic (option 1).

To understand why this is the correct answer, let`s consider the dilution process. When a solution is diluted, more solvent (usually water) is added to decrease the concentration of the solute. However, dilution does not change the pH of the solution.

In this case, the original solution has a pH of 6, indicating that it is slightly acidic. When it is diluted by 100 times, the concentration of the acidic solute decreases, making the solution less acidic. As a result, the pH of the diluted solution would be higher than 6 and closer to neutral. Since neutral pH is around 7, a pH of greater than 7 indicates a basic solution.

Therefore, the correct answer is option 1, the resulting solution would be basic.