Step 1: Understanding the Concept:
This question tests several grammatical points: verb tense with "since," modifier placement, logical comparison, and sentence clarity. The original sentence is long and contains several errors that need to be corrected.
Step 2: Detailed Explanation:
Let's break down the errors in the original sentence and how the options address them.
Original Sentence Errors:
\[\begin{array}{rl} \bullet & \text{Verb Tense: "that were displayed since 1843" is incorrect. The use of "since" requires a perfect tense (e.g., "have been displayed") to indicate an action that began in the past and continues to the present. The simple past "were displayed" is incorrect here.} \\ \bullet & \text{Clarity and Logic: The sentence structure is convoluted, making the comparison between the two museums' collections hard to follow. It incorrectly implies that the Metropolitan's collection required funding "not to concede its reputation," which is awkwardly phrased.} \\ \end{array}\]
Analysis of Options:
\[\begin{array}{rl} \bullet & \text{(A) This option repeats the original tense error ("were displayed since 1843") and only slightly modifies the end, which does not fix the core problems. } \\ \bullet & \text{(B) This option makes several key corrections. It changes "that were displayed" to "displayed," using a past participle to correctly modify the collection. It replaces "such as" with "including," which is also appropriate. Most importantly, it clarifies the comparison by attaching the modifier "requiring more funding..." directly to the Metropolitan Museum's collection. This makes the sentence logical and easy to understand: The Cluny's collection is more impressive, and it's being compared to the Met's collection, which needed more funding. } \\ \bullet & \text{(C) This option incorrectly reverses the logic. It states that the Cluny Museum's collection is more impressive "since it has required more funding," which contradicts the intended meaning (that it's impressive despite requiring less funding, or that the Met's required more). } \\ \bullet & \text{(D) Similar to (C), this option reverses the logic by stating "the former required more funding," where "the former" refers to the Cluny Museum. } \\ \bullet & \text{(E) This option has a subject-verb agreement error: "The Cluny Museum's collection ... were displayed." "Collection" is singular and requires the singular verb "was." } \\ \end{array}\]
Step 3: Final Answer:
Option (B) is the only choice that corrects all the grammatical errors (verb tense, modification) and clarifies the logical comparison between the two collections, resulting in a clear, correct, and well-structured sentence.
If \(8x + 5x + 2x + 4x = 114\), then, \(5x + 3 = ?\)
If \(r = 5 z\) then \(15 z = 3 y,\) then \(r =\)