Consider the rents of apartments in three buildings: Riverdale Manor, The Gaslight Commons, and The Livingston Gate. I. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons. II. Apartments in The Livingston Gate cost more than apartments in The Gaslight Commons. III. Of the three apartment buildings, The Livingston Gate has the highest apartment cost. If the first two statements are true, then the third statement is:

Introduction / Context:
This question examines your skill in ordering quantities and checking whether a comparative conclusion necessarily follows from two given inequalities. It is a typical logical reasoning question set in a real-estate context: apartment prices in three different buildings.

Given Data / Assumptions:

• Building R: Riverdale Manor.

• Building G: The Gaslight Commons.

• Building L: The Livingston Gate.

• Statement I: Price in Riverdale Manor < Price in Gaslight Commons (R < G).

• Statement II: Price in Livingston Gate > Price in Gaslight Commons (L > G).

• Statement III: Of R, G and L, Livingston Gate has the highest price.

Concept / Approach:
We convert the English sentences into inequalities between R, G and L. Then, we order the three quantities. If this ordering shows that L is strictly greater than both R and G, then Statement III is forced to be true by I and II.

Step-by-Step Solution:
Step 1: From Statement I, R < G. Step 2: From Statement II, L > G. Step 3: Combine the inequalities. Since R < G and G < L (because L > G), we get R < G < L. Step 4: This chain shows that among the three, R is the cheapest and L is the costliest. Step 5: Therefore, The Livingston Gate must have the highest apartment cost among the three buildings. Step 6: This is exactly what Statement III claims, so it necessarily follows from Statements I and II.

Verification / Alternative check:
Pick sample values consistent with I and II. Suppose Riverdale apartments cost Rs 20,000, Gaslight apartments cost Rs 25,000, and Livingston apartments cost Rs 30,000. Then R < G and L > G are both satisfied, and clearly L is the costliest. Any other numbers that satisfy R < G and L > G will also put L at the top of the order, because it is always above G, and G is already above R.

Why Other Options Are Wrong:
Option B is wrong because there is no contradiction; Statement III is fully consistent with and required by I and II.
Option C is wrong because there is no flexibility: as soon as R < G and L > G are fixed, the ranking R < G < L is fixed, so we can decide the truth exactly.
Option D is wrong because the third statement is clearly about the same three apartment buildings and continues the same comparison pattern, so it is not unrelated.

Common Pitfalls:
Some students think that whenever three items are compared, there might be ties, so they label the conclusion “cannot be decided”. However, the inequalities here are strict (“less than” and “more than”), leaving no room for equal prices. Others read too quickly and think that Statement II says L > R, which it does not, but this does not affect the final ordering when both statements are considered together.

Final Answer:
Thus, Statement III must be true given Statements I and II, so the correct choice is Always correct; it must follow from the first two statements.