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Zorluk: Çok zorSorting and Multi-Column Ordering

The table below presents operational and maintenance data for seven municipal water pumping stations across four municipal districts.

Station CodeDistrictFacility Age (Years)Energy Consumption (kWh/m³)Maintenance Backlog ($k)Annual Outages
Alpha-1North140.851403
Bravo-4South221.122105
Charlie-2East140.781852
Delta-9North281.25955
Echo-3West220.942101
Foxtrot-7South181.051604
Golf-5West140.851202

Statement: If the table is sorted in ascending order by Facility Age (Years), with any ties broken by sorting in descending order by Maintenance Backlog ($k), then among the stations with a Facility Age of 14 years, the station with the lowest Energy Consumption rating is listed immediately after the station with the highest Annual Outages count.

Cevap: Cevap

Cevap

The statement is False because Charlie-2 (lowest Energy Consumption among 14-year stations) appears immediately before Alpha-1 (highest Annual Outages among 14-year stations) when applying the secondary descending sort on Maintenance Backlog.
The correct response evaluates the multi-column sort step-by-step: filtering the 14-year-old stations (Alpha-1, Charlie-2, Golf-5), sorting them by descending Maintenance Backlog (yielding Charlie-2 then Alpha-1 then Golf-5), and identifying that Charlie-2 (lowest energy consumption) precedes Alpha-1 (highest annual outages) rather than following it.

Adım Adım Çözüm

1
Filter for the relevant subset of stations
Identify stations with Facility Age = 14: Alpha-1, Charlie-2, Golf-5.
The primary sort isolates all stations with the minimum age (14 years) at the beginning of the table.
2
Apply the tie-breaking multi-column ordering logic
Sort Alpha-1 (140k),Charlie2(140k), Charlie-2 ( 185k), and Golf-5 (120k)indescendingorderofMaintenanceBacklog:1st=Charlie2(120k) in descending order of Maintenance Backlog: 1st = Charlie-2 ( 185k), 2nd = Alpha-1 (140k),3rd=Golf5(140k), 3rd = Golf-5 ( 120k).
Ties in primary sort (Facility Age) must be broken by secondary descending sort on Maintenance Backlog.
3
Evaluate key metrics within the sorted sub-group
Station with lowest Energy Consumption among 14-year stations = Charlie-2 (0.78 kWh/m³). Station with highest Annual Outages count among 14-year stations = Alpha-1 (3 outages).
Identify the target entities to verify their relative vertical ordering.
4
Determine relative position of target stations
Charlie-2 is in 1st position and Alpha-1 is in 2nd position. Therefore, Charlie-2 appears immediately BEFORE Alpha-1, rendering the statement False.
Verify whether the target entity appears immediately after or immediately before.

Anahtar Kavram

Multi-Column Sorting with Primary and Secondary Tie-Breaking Criteria
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