Data Sufficiency Analysis for Granite Colour

The question asks us to determine the specific colour of the granite in the kitchen based on the given statements. We need to evaluate each statement individually and then together to see if they provide enough information to identify a single colour for the granite.

Analyzing Statement 1: Granite Colour is Wall Colour

Statement 1 says: "The colour of the granite is the colour of the wall."

This statement tells us that the granite and the wall share the same colour. However, it does not tell us what that specific colour is. The wall colour could be blue, red, green, yellow, etc. Since the statement only establishes a relationship between the granite colour and the wall colour without specifying the wall colour itself, we cannot determine the granite colour using only Statement 1.

Therefore, Statement 1 alone is not sufficient to answer the question about the granite colour.

Analyzing Statement 2: Granite Colour is Very Bright

Statement 2 says: "The colour of the granite is very bright."

This statement describes a characteristic of the granite's colour – its brightness. Many different colours can be described as "very bright." For example, bright red, bright yellow, bright blue, bright green are all possible very bright colours. Knowing that the colour is bright does not narrow it down to one specific colour.

Therefore, Statement 2 alone is not sufficient to answer the question about the granite colour.

Analyzing Statements 1 and 2 Together

Now, let's consider both statements together:

1. The colour of the granite is the colour of the wall.
2. The colour of the granite is very bright.

From these two statements, we know that the granite has the same colour as the wall, and this shared colour is very bright. However, this still does not give us a single, specific colour. The colour could be bright red (if the wall is bright red), bright yellow (if the wall is bright yellow), bright blue (if the wall is bright blue), and so on.

Even with both pieces of information, we cannot uniquely identify the specific colour of the granite.

Therefore, Statements 1 and 2 together are not sufficient to answer the question about the granite colour.

Sufficiency Conclusion

Based on the analysis of each statement individually and both statements combined, neither statement provides enough information on its own, nor do they provide enough information when used together, to definitively determine the colour of the granite.

Revision Table: Data Sufficiency Concepts

Data Sufficiency questions test your ability to determine if the given information is adequate to solve a problem, not to actually solve it. Key points to remember:

• Evaluate each statement independently first.
• If neither statement is sufficient alone, combine them and evaluate if the combined information is sufficient.
• Sufficiency means the statement(s) lead to a unique, definitive answer to the question asked.
• If the answer could be more than one possibility, the statement(s) are not sufficient.

Additional Information: Identifying Colour

Colour is typically identified by specific names like Red, Blue, Green, Yellow, Black, White, etc., or by specific wavelength ranges in the electromagnetic spectrum. Descriptors like 'bright', 'dark', 'pale', 'vivid' relate to the shade, tint, or intensity of a colour, but not its fundamental hue.

In mathematical terms, a colour can sometimes be represented using colour models like RGB (Red, Green, Blue) or Hex codes. For example, pure red might be represented as $(255, 0, 0)$ in RGB or $\#FF0000$ in Hex. Brightness is a component in other models like HSL (Hue, Saturation, Lightness) or HSV (Hue, Saturation, Value). A bright colour might have a high Lightness or Value component, but this doesn't tell you the Hue.

For instance, if we needed to calculate a value, we might use LaTeX syntax like \(\frac{a}{b}\) for a fraction or \(x^2 + y^2\) for an equation, but this question involves logical sufficiency, not calculation.