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Data InsightsTwo-Part Analysis

Free GMAT Two-Part Analysis Practice Question

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In one run, a commercial print shop started 4,000 sheets. Of those, 3,200 passed quality on the first pass. Separately, a sample of 800 sheets was pulled for inspection, and 200 of the inspected sheets were sent back for rework. The shop defines its first-pass yield as the number of sheets that passed on the first pass expressed as a percentage of the sheets started, and its rework rate as the number of sheets sent back for rework expressed as a percentage of the sheets inspected. In the table, select the shop's first-pass yield for the run and select its rework rate for the run. Make one selection in each column; the columns are independent.

First-pass yield: . Rework rate: .

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Answer & Explanation

Correct answer

1: 80 percent · 2: 25 percent

Each named rate carries its own fixed base, and the task is matching each rate to the count and base its definition names. The first-pass yield counts the sheets that passed on the first pass against the sheets started: 3,200 out of 4,000, which is 80 percent. The rework rate counts the sheets sent back for rework against the sheets inspected, not the sheets started: 200 out of the 800 inspected, which is 25 percent.

The trap the run is built around is taking the rework count against the production total of 4,000 because it is the largest number; 200 out of 4,000 gives 5 percent, but the definition fixes the base at what was inspected. Selecting 20 percent reports the share of started sheets that were inspected, 800 out of 4,000, which neither column asks for. The 75 percent and 90 percent selections are near-miss reads of the yield that put no named count over its named base. Each rate is computed from its own pair of figures, so neither column's answer depends on the other.