Table Analysis Alıştırma Soruları — GMAT — Sayfa 3

Soru 41Soru →

The table below details 2025 annual operational metrics for eight commercial container terminals at a regional maritime port hub:

Terminal	Annual Cargo Volume (Thousand TEUs)	Automated Crane Ratio (%)	Average Berth Dwell Time (Hours)	On-Time Vessel Clearance Rate (%)
Terminal A	1,250	80%	18.5	92%
Terminal B	840	65%	24.0	85%
Terminal C	2,100	90%	14.2	96%
Terminal D	620	40%	31.0	74%
Terminal E	1,600	75%	21.5	88%
Terminal F	950	50%	26.8	81%
Terminal G	1,850	85%	16.0	94%
Terminal H	1,100	60%	22.4	86%

Based on the table, evaluate the following claim: Exactly two of the three statements below are True.

Statement I: When the terminals are sorted in descending order by Annual Cargo Volume, the median Average Berth Dwell Time for the top 4 terminals is less than $17.0$ hours.
Statement II: For every terminal where the Automated Crane Ratio is at least $75\%$ , the On-Time Vessel Clearance Rate is greater than $87\%$ .
Statement III: The mean Annual Cargo Volume across all 8 terminals is greater than $1,350$ thousand TEUs.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: False

Cevap

False. Only Statement II is True (Statement I and Statement III are both False). Therefore, exactly one statement is True, making the overall claim False.

Evaluating each component statement reveals that Statement I is False (median is

17.25

hours, which is not less than

17.0

), Statement II is True (all four terminals with

\ge 75\%

crane automation exceed

87\%

clearance rate), and Statement III is False (mean cargo volume is

1,288.75

, not greater than

1,350

). Because only one statement is True, the claim stating that exactly two statements are True is False.

Adım Adım Çözüm

1

Evaluate Statement I by sorting terminals descending by Annual Cargo Volume and finding the median dwell time of the top 4.

Top 4 terminals by volume: Terminal C (

2,100

), Terminal G (

1,850

), Terminal E (

1,600

), and Terminal A (

1,250

). Their Average Berth Dwell Times are

14.2

,

16.0

,

21.5

, and

18.5

hours, respectively. Ordered ascending, these values are

14.2, 16.0, 18.5, 21.5

. The median is the average of the two middle values:

\frac{16.0 + 18.5}{2} = 17.25

hours. Since

17.25 > 17.0

, Statement I is False.

Correctly identifying the median of an even set requires ordering the values and taking the midpoint of the two central numbers.

2

Evaluate Statement II by checking the On-Time Vessel Clearance Rate for terminals with an Automated Crane Ratio

\ge 75\%

.

Terminals with Automated Crane Ratio

\ge 75\%

are Terminal A (

80\%

, Clearance

92\%

), Terminal C (

90\%

, Clearance

96\%

), Terminal E (

75\%

, Clearance

88\%

), and Terminal G (

85\%

, Clearance

94\%

). All four have Clearance Rates strictly greater than

87\%

. Statement II is True.

Conditional filtering requires verifying every single row that satisfies the specified antecedent condition.

3

Evaluate Statement III by calculating the aggregate arithmetic mean of Annual Cargo Volume across all 8 terminals.

Sum of volume

= 1250 + 840 + 2100 + 620 + 1600 + 950 + 1850 + 1100 = 10,310

thousand TEUs. Mean

= \frac{10,310}{8} = 1,288.75

thousand TEUs. Since

1,288.75 < 1,350

, Statement III is False.

Computing aggregate mean requires dividing total cargo sum by total terminal count.

4

Synthesize the boolean values of the three statements to evaluate the claim.

Statement I = False, Statement II = True, Statement III = False. Exactly 1 statement is True. The claim asserts that exactly 2 statements are True, which is False.

Comparing the count of True statements to the claim's requirement determines the overall boolean result.

Anahtar Kavram

Multi-Statement Boolean Evaluation using tabular data sorting, conditional filtering, and descriptive statistics.

Soru 42Soru →

The table below lists key operational and financial metrics for 10 enterprise data center facilities operated by a global cloud services provider:

Facility ID	Tier Classification	Server Racks	Power Usage Effectiveness (PUE)	Monthly Maintenance Cost ($ in thousands)
Facility A	Tier III	450	1.35	64
Facility B	Tier IV	600	1.20	94
Facility C	Tier III	520	1.48	78
Facility D	Tier III	480	1.42	72
Facility E	Tier II	300	1.65	40
Facility F	Tier III	400	1.30	52
Facility G	Tier III	550	1.55	86
Facility H	Tier IV	650	1.25	98
Facility I	Tier III	460	1.38	68
Facility J	Tier II	350	1.60	82

Based on the table, what is the median monthly maintenance cost for the subset of facilities classified as Tier III?

$62,000

$68,000

$70,000

$72,000

$75,000

Cevabı ve açıklamayı göster

Cevap: $70,000

Cevap

The median monthly maintenance cost for Tier III facilities is $70,000.

To find the median monthly maintenance cost of Tier III facilities, first isolate the 6 relevant rows: Facility A (

64k), Facility C (

78k), Facility D (

72k), Facility F (

52k), Facility G (

86k), and Facility I (

68k). Sorting these costs from lowest to highest yields:

52,000,

64,000,

68,000,

72,000,

78,000,

86,000. Because there are 6 values (an even count), the median is the average of the 3rd (

68,000) and 4th (

72,000) terms.

\frac{68,000 + 72,000}{2} = 70,000

. Therefore, $70,000 is the correct answer.

Adım Adım Çözüm

1

Filter the table data for facilities classified as 'Tier III'.

Six facilities match this condition: Facility A (

64k), Facility C (

78k), Facility D (

72k), Facility F (

52k), Facility G (

86k), and Facility I (

68k).

The question specifically targets the subset of facilities with Tier III classification.

2

Sort the monthly maintenance costs for the filtered Tier III facilities in ascending numerical order.

52,000,

64,000,

68,000,

72,000,

78,000,

86,000.

Determining percentile or rank statistics such as the median requires ordering data from smallest to largest.

3

Calculate the median for this even-count dataset (N = 6).

Average of the 3rd value (

68,000) and 4th value (

72,000):

\frac{68,000 + 72,000}{2} = 70,000

.

When a dataset contains an even number of observations, the median is the arithmetic mean of the two middle terms.

Anahtar Kavram

Descriptive Statistics Interpretation (Even-Count Filtered Median)

Soru 43Soru →

The table below details Q1 2026 operational and financial performance metrics for seven urban vertical farming facilities operated by GreenGrid AgriTech:

Facility Code	Crop Yield (metric tons)	Energy Consumption (MWh)	Water Recycled (%)	Operating Cost ($/kg)	Revenue ($ thousands)
VF-101	120	480	92%	4.50	720
VF-102	85	315	88%	5.20	460
VF-103	150	600	95%	3.80	975
VF-104	95	418	84%	4.80	513
VF-105	110	462	90%	4.10	682
VF-106	70	294	86%	5.60	364
VF-107	130	546	94%	3.90	858

Evaluate the truth value of the following overarching claim:

Statement: Exactly two of the three statements below evaluate to True based on the table data.

I. For all facilities where Water Recycled is at least 90%, the median Revenue per metric ton of Crop Yield is greater than $6,000.
II. The facility with the highest Energy Consumption per metric ton of Crop Yield also has the highest Operating Cost per kg.
III. The mean Energy Consumption across all seven facilities is less than 450 MWh.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

The statement is True because Statements I and III evaluate to True, while Statement II evaluates to False, making exactly two statements True.

The overarching statement is correct because evaluating each of the three sub-statements shows that Statement I is True (median is \$6,350/ton), Statement II is False (VF-104 has the highest energy per ton but not the highest operating cost), and Statement III is True (mean energy is 445 MWh). Therefore, exactly two statements are True.

Adım Adım Çözüm

1

Filter facilities with Water Recycled

\ge 90\%

and calculate their Revenue per metric ton of Crop Yield.

Matching facilities: VF-101 (

92\%

), VF-103 (

95\%

), VF-105 (

90\%

), VF-107 (

94\%

).
Revenue per metric ton calculations:
- VF-101:

\frac{\$720,000}{120} = \$6,000/\text{ton}

- VF-103:

\frac{\$975,000}{150} = \$6,500/\text{ton}

- VF-105:

\frac{\$682,000}{110} = \$6,200/\text{ton}

- VF-107:

\frac{\$858,000}{130} = \$6,600/\text{ton}

Statement I requires computing revenue yield efficiency for a subset of rows filtered by water recycling rate.

2

Find the median of the filtered revenue per metric ton values to test Statement I.

Ordered set:

\{\$6,000, \$6,200, \$6,500, \$6,600\}

. Median =

\frac{\$6,200 + \$6,500}{2} = \$6,350

. Since

\$6,350 > \$6,000

, Statement I is TRUE.

The median of an even-numbered dataset is the arithmetic mean of the two middle values.

3

Calculate Energy Consumption per metric ton of Crop Yield for all facilities to identify the maximum, then compare with Operating Cost per kg to test Statement II.

Energy per metric ton rates:
- VF-101:

\frac{480}{120} = 4.0\text{ MWh/ton}

- VF-102:

\frac{315}{85} \approx 3.71\text{ MWh/ton}

- VF-103:

\frac{600}{150} = 4.0\text{ MWh/ton}

- VF-104:

\frac{418}{95} = 4.4\text{ MWh/ton}

(Highest)
- VF-105:

\frac{462}{110} = 4.2\text{ MWh/ton}

- VF-106:

\frac{294}{70} = 4.2\text{ MWh/ton}

- VF-107:

\frac{546}{130} = 4.2\text{ MWh/ton}

VF-104 has the highest Energy per metric ton (

4.4

). Its Operating Cost is \$4.80/kg. However, VF-106 has the highest Operating Cost at \$5.60/kg. Thus, Statement II is FALSE.

Testing Statement II requires identifying the maximum value of a calculated row-level ratio and checking if it coincides with the column maximum of another metric.

4

Calculate the mean Energy Consumption across all seven facilities to test Statement III.

Sum of Energy Consumption =

480 + 315 + 600 + 418 + 462 + 294 + 546 = 3,115\text{ MWh}

. Mean =

\frac{3,115}{7} = 445\text{ MWh}

. Since

445 < 450

, Statement III is TRUE.

Determining the truth value of Statement III requires computing an aggregate mean across the entire dataset.

5

Synthesize the boolean evaluations of the three statements to determine the final truth value.

Statement I: True, Statement II: False, Statement III: True. Exactly two of the three statements are True, which confirms that the overarching statement is True.

The main question stem asserts that exactly two statements are True.

Anahtar Kavram

Multi-Statement Boolean Evaluation using tabular filtering, ratio calculation, descriptive statistics (median and mean), and multi-column comparison.

Soru 44Soru →

The table below presents the annual municipal water supply metrics and resident population for four administrative districts in 2025. Note that $1\text{ cubic meter } (\text{m}^3) = 1,000\text{ liters}$ .

District	Annual Water Supplied (in millions of $\text{m}^3$ )	Total Revenue (in tens of thousands of USD)	Resident Population (in thousands)
Metro North	21.9	876	200
Riverdale	8.76	438	120
Coastal Bay	14.6	730	160
Highland Peak	13.14	525.6	150

Based on the data provided, what was the average daily water consumption per resident in Coastal Bay in 2025, expressed in liters per person per day? (Assume a 365-day year.)

Cevabı ve açıklamayı göster

Cevap: 250

Cevap

The average daily water consumption per resident in Coastal Bay in 2025 was 250 liters per person per day.

To find the average daily water consumption per resident in Coastal Bay, first read the values for Coastal Bay from the table: Annual Water Supplied is

14.6\text{ million m}^3

and Resident Population is

160\text{ thousand}

. Convert water volume to liters:

14.6 \times 10^6 \times 1,000 = 14,600,000,000\text{ liters}

. Convert population to individual count:

160 \times 1,000 = 160,000\text{ residents}

. Calculate total annual resident-days:

160,000 \times 365 = 58,400,000\text{ resident-days}

. Finally, divide total liters by total resident-days:

\frac{14,600,000,000}{58,400,000} = 250\text{ liters per person per day}

.

Adım Adım Çözüm

1

Table Lookup and Scale Expansion for Water Supplied

Water supplied =

14.6 \times 10^6 \text{ m}^3 = 14,600,000 \text{ m}^3

The table header specifies that values are given in millions of cubic meters.

2

Unit Conversion from Cubic Meters to Liters

Total liters =

14,600,000 \text{ m}^3 \times 1,000 \text{ L/m}^3 = 14,600,000,000 \text{ L}

Each cubic meter contains

1,000

liters as stated in the problem note.

3

Population Scale Expansion and Resident-Days Calculation

Total resident-days =

(160 \times 1,000 \text{ people}) \times 365 \text{ days} = 58,400,000 \text{ person-days}

The population header specifies values in thousands, and a full year comprises 365 days.

4

Calculate Per Capita Daily Rate

Daily per capita rate =

\frac{14,600,000,000 \text{ L}}{58,400,000 \text{ person-days}} = 250 \text{ L/person/day}

Dividing total annual volume by total person-days yields the average daily consumption per person.

Anahtar Kavram

Unit Conversion and Scale Interpretation in Table Analysis

Soru 45Soru →

The table below presents operating metrics for 10 regional micro-grid stations during an annual monitoring period:

Station ID	Elevation (m)	Solar Irradiance (kWh/m²)	Wind Capacity Factor (%)	Battery Degradation Rate (%/yr)	System Efficiency (%)
ST-01	150	5.8	32	3.4	84
ST-02	320	5.5	38	3.1	82
ST-03	480	5.2	41	2.8	85
ST-04	610	4.9	45	2.5	81
ST-05	750	5.1	49	2.2	87
ST-06	890	4.3	52	1.9	83
ST-07	1040	4.0	56	1.7	88
ST-08	1180	3.7	60	1.4	86
ST-09	1350	3.4	64	1.1	89
ST-10	1500	3.1	68	0.8	91

Evaluate the following statement based on the data provided:

'When all 10 stations are ordered by increasing Elevation, there is a strictly monotonic inverse relationship between Elevation and Solar Irradiance.'

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: False

Cevap

False. The relationship between Elevation and Solar Irradiance is not strictly monotonic because Solar Irradiance increases from ST-04 to ST-05.

The evaluated statement claims a strictly monotonic inverse relationship between Elevation and Solar Irradiance. Checking the values sequentially by increasing elevation shows that Solar Irradiance decreases from ST-01 (

5.8

) through ST-04 (

4.9

), but increases at ST-05 (

5.1

). Consequently, the relationship is not strictly monotonic.

Adım Adım Çözüm

1

Verify table ordering by Elevation

The table is already sorted in ascending order of Elevation from ST-01 (

150\text{ m}

) to ST-10 (

1500\text{ m}

).

To evaluate monotonicity across Elevation, we must inspect Solar Irradiance values sequentially from lowest to highest elevation.

2

Examine Solar Irradiance values sequentially

ST-01:

5.8

, ST-02:

5.5

, ST-03:

5.2

, ST-04:

4.9

, ST-05:

5.1

.

A strict inverse monotonic trend requires that every successive value be strictly smaller than the preceding value.

3

Identify non-monotonic exception

Between ST-04 and ST-05, Solar Irradiance increases from

4.9\text{ kWh/m}^2

to

5.1\text{ kWh/m}^2

.

Because

5.1 > 4.9

, there is a local increase, which invalidates a strict monotonic inverse correlation across the full dataset.

Anahtar Kavram

Evaluating strict monotonicity vs. general macro trends across sorted multi-column tables

Soru 46Soru →

The table below details physical and operational performance metrics for 10 commercial office properties managed by a real estate investment trust:

Property ID	Building Grade	Leasable Area (sq ft)	Occupancy Rate (%)	Energy Intensity (kWh/sq ft)
P-101	Class A	120,000	92%	18.4
P-102	Class B	85,000	88%	22.1
P-103	Class A	210,000	95%	14.8
P-104	Class A	165,000	84%	19.2
P-105	Class B	95,000	91%	24.5
P-106	Class A	140,000	96%	16.0
P-107	Class B	110,000	79%	21.0
P-108	Class A	180,000	90%	15.6
P-109	Class A	250,000	89%	17.2
P-110	Class B	75,000	94%	23.8

What is the median annual energy intensity, in kWh/sq ft, of the properties that have an occupancy rate of at least 90%?

Cevabı ve açıklamayı göster

Cevap: 17.2

Cevap

17.2

Filtering the table for properties with an Occupancy Rate of at least 90% selects 6 properties: P-101 (18.4), P-103 (14.8), P-105 (24.5), P-106 (16.0), P-108 (15.6), and P-110 (23.8). Sorting these 6 values gives [14.8, 15.6, 16.0, 18.4, 23.8, 24.5]. Since the count is even (

N=6

), the median is the average of the two middle values, 16.0 and 18.4, which equals 17.2.

Adım Adım Çözüm

1

Filter the dataset based on the occupancy rate criteria

Properties meeting the condition (Occupancy Rate

\ge 90\%

) are P-101 (92%), P-103 (95%), P-105 (91%), P-106 (96%), P-108 (90%), and P-110 (94%). This yields a subset of 6 properties.

Only properties meeting the threshold of at least 90% occupancy should be included in the statistical calculation.

2

Extract the corresponding Energy Intensity values for the filtered subset

The corresponding Energy Intensity values (in kWh/sq ft) are: 18.4, 14.8, 24.5, 16.0, 15.6, and 23.8.

Target descriptive metric calculation requires the specific Energy Intensity values for the 6 selected properties.

3

Order the extracted values from smallest to largest

Ordered values: 14.8, 15.6, 16.0, 18.4, 23.8, 24.5.

Finding the median requires arranging numerical data in sequential order.

4

Compute the median for the even-count dataset (

N=6

)

The 3rd value is 16.0 and the 4th value is 18.4. The median is

\frac{16.0 + 18.4}{2} = \frac{34.4}{2} = 17.2

.

When a dataset contains an even number of elements, the median is the arithmetic mean of the two middle elements.

Anahtar Kavram

Descriptive Statistics Interpretation

Soru 47Soru →

The table below presents operational data for seven regional flight routes operated by an airline during Q1 2026:

Route Code	Distance (miles)	Flights Scheduled	On-Time Arrival Rate	Average Passenger Load Factor	Fuel Consumption (gallons/flight)
R-101	450	120	88%	82%	1,400
R-102	820	90	75%	86%	2,300
R-103	1,250	60	92%	78%	3,600
R-104	310	150	84%	74%	1,100
R-105	960	80	80%	90%	2,850
R-106	1,500	45	94%	85%	4,200
R-107	680	110	85%	88%	1,950

Match each of the following statements to its corresponding truth value and evaluation justification based on the table.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Statement I matches with the evaluation of True (median rate is 86%). Statement II matches with the evaluation of False (R-105 has 80 flights while minimum is 45). Statement III matches with the evaluation of False (the ratio increases from R-102 to R-105).

Each statement is evaluated against the quantitative data provided in the table. Statement I correctly identifies the four routes exceeding 800 miles and calculates their median as 86%. Statement II correctly identifies that R-105 has the highest load factor (90%) but 80 flights, whereas R-106 has the minimum flights (45). Statement III correctly identifies a counterexample where the fuel-to-distance ratio increases from R-102 to R-105.

Adım Adım Çözüm

1

Filter and compute the median for Statement I.

Qualifying routes (>800 miles): R-102 (75%), R-105 (80%), R-103 (92%), R-106 (94%). Sorted rates: [75%, 80%, 92%, 94%]. Median = $\frac{80\% + 92\%}{2} = 86\%$ > 85%.

Identify sub-population based on distance criterion and determine the median of an even-sized dataset.

2

Locate maximum load factor and compare scheduled flights for Statement II.

Max load factor = 90% (R-105, 80 flights). Fewest flights overall = 45 flights (R-106). Since 80 != 45, statement is False.

Identify row-level extrema across two independent columns (Load Factor and Flights Scheduled).

3

Calculate rates/ratios for Statement III across increasing distances.

R-102 (820 miles): $\frac{2300}{820} \approx 2.805$ gal/mi. R-105 (960 miles): $\frac{2850}{960} = 2.96875$ gal/mi. Ratio increases, so trend is not strictly decreasing.

Test monotonic trend hypothesis by evaluating specific calculated ratios across sorted distances.

Anahtar Kavram

Multi-statement boolean verification requiring subset filtering, descriptive statistics (median of even-sized set), cross-column extrema matching, and rate trend testing.

Soru 48Soru →

The table below presents response metrics for eight municipal fire stations.

Station ID	District	Average Response Time (min)	On-Time Response Rate (%)	Annual Emergency Calls
Station 101	North	4.8	93.0%	1,420
Station 102	North	5.2	91.0%	1,850
Station 103	East	4.2	96.0%	1,100
Station 104	South	5.8	88.5%	2,100
Station 105	West	4.8	95.0%	1,600
Station 106	East	5.5	89.0%	1,350
Station 107	West	4.5	95.5%	1,750
Station 108	South	5.0	92.5%	1,900

True or False: If the table is sorted in ascending order by Average Response Time (min), with any ties broken by sorting in descending order by On-Time Response Rate (%), Station 101 is ranked 4th from the top.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True

Sorting primarily by Average Response Time (ascending) places Station 103 (4.2) first, Station 107 (4.5) second, and creates a tie between Station 101 and Station 105 at 4.8 minutes. Applying the secondary sort by On-Time Response Rate (descending) puts Station 105 (95.0%) in 3rd place and Station 101 (93.0%) in 4th place, confirming the statement.

Adım Adım Çözüm

1

Sort the dataset by the primary criterion: Average Response Time (min) in ascending order.

Station 103 (4.2 min) is 1st, Station 107 (4.5 min) is 2nd. Station 101 and Station 105 tie for the next positions with 4.8 min.

Ascending order places smaller response times first.

2

Apply the secondary tie-breaker criterion to the tied stations (Station 101 and Station 105): On-Time Response Rate (%) in descending order.

Station 105 (95.0%) is ranked 3rd, and Station 101 (93.0%) is ranked 4th.

Descending order places higher percentages above lower percentages.

3

Verify the rank of Station 101 against the statement in the prompt.

Station 101 is indeed ranked 4th overall.

The evaluation confirms the statement is true.

Anahtar Kavram

Multi-Column Table Sorting and Tie-Breaking

Tahmini Süre:1m 30s

Soru 49Soru →

The table below presents operational metrics for seven regional grain storage elevators.

Elevator ID	Region	Storage Capacity (thousand metric tons)	Annual Throughput Rate (%)	Average Loading Time (hours)
Alpha	Midwest	520	82%	3.2
Beta	Plains	520	78%	4.1
Gamma	Midwest	600	85%	2.8
Delta	Delta	450	91%	3.5
Epsilon	Plains	450	88%	2.9
Zeta	Midwest	600	74%	3.1
Eta	Delta	380	95%	2.4

If the table is sorted in descending order by Storage Capacity (thousand metric tons), and ties are broken by sorting in ascending order by Average Loading Time (hours), which elevator occupies the 4th position from the top?

Alpha

Beta

Delta

Gamma

Zeta

Cevabı ve açıklamayı göster

Cevap: Beta

Cevap

Elevator Beta occupies the 4th position from the top after primary sorting descending by Storage Capacity and secondary sorting ascending by Average Loading Time.

Sorting the table primarily by Storage Capacity in descending order places the two elevators with 600 thousand metric tons (Gamma and Zeta) at the top, occupying positions 1 and 2. The next highest capacity tier is 520 thousand metric tons, shared by Alpha and Beta. Applying the secondary sort rule (Average Loading Time in ascending order), Alpha has a shorter loading time (

3.2\text{ hours}

) than Beta (

4.1\text{ hours}

). Thus, Alpha takes the 3rd position and Beta takes the 4th position.

Adım Adım Çözüm

1

Group facilities by the primary column: Storage Capacity (thousand metric tons) in descending order.

Group 1 (600 thousand metric tons): Gamma, Zeta; Group 2 (520 thousand metric tons): Alpha, Beta; Group 3 (450 thousand metric tons): Delta, Epsilon; Group 4 (380 thousand metric tons): Eta.

Primary sort priority dictates ordering largest values to smallest values first.

2

Apply the tie-breaker criterion (Average Loading Time in ascending order) to Group 1 (Capacity = 600).

Gamma (2.8 hours) comes before Zeta (3.1 hours). Positions 1 and 2 are Gamma and Zeta.

Shorter loading times rank higher in ascending order.

3

Apply the tie-breaker criterion (Average Loading Time in ascending order) to Group 2 (Capacity = 520).

Alpha (3.2 hours) comes before Beta (4.1 hours). Position 3 is Alpha, and Position 4 is Beta.

Since

3.2 < 4.1

, Alpha takes the 3rd spot and Beta takes the 4th spot.

Anahtar Kavram

Multi-Column Table Sorting and Secondary Tie-Breaking Logic

Alternatif Yöntem

Filter out the lower capacity groups (450 and 380 thousand metric tons) immediately since the top 4 spots must belong to the highest capacity groups (600 and 520). Compare only Alpha and Beta for the 4th spot by looking at their loading times.

Tahmini Süre:1m 30s

Soru 50Soru →

The table below presents monthly operational and climate metrics for seven commercial cold-storage logistics facilities operated by a regional food distributor during 2025:

Facility Code	Storage Volume ( $1000\text{ m}^3$ )	Energy Consumed ( $\text{MWh/month}$ )	Avg Storage Temp ( $^\circ\text{C}$ )	Capacity Utilization	Operating Cost ( $\$1000/\text{month}$ )
F-1	120	480	-22	85%	144
F-2	200	700	-18	92%	210
F-3	150	525	-25	78%	175
F-4	90	390	-20	95%	120
F-5	250	875	-22	80%	260
F-6	180	630	-24	88%	198
F-7	300	1050	-19	75%	315

True or False: Among the facilities maintaining an average storage temperature colder than $-20^\circ\text{C}$ , the median monthly operating cost is greater than $\$180,000$ .

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True

The statement is True because the four facilities with average storage temperatures strictly below

-20^\circ\text{C}

(F-1, F-3, F-5, and F-6) have monthly operating costs of

\$144,000

,

\$175,000

,

\$198,000

, and

\$260,000

. The median of these four values is

\frac{175 + 198}{2} \times 1000 = \$186,500

, which is strictly greater than

\$180,000

.

Adım Adım Çözüm

1

Filter the facilities based on the specified temperature condition.

Identified facilities F-1 (

-22^\circ\text{C}

), F-3 (

-25^\circ\text{C}

), F-5 (

-22^\circ\text{C}

), and F-6 (

-24^\circ\text{C}

). Facility F-4 (

-20^\circ\text{C}

) is excluded because

-20^\circ\text{C}

is not strictly colder than

-20^\circ\text{C}

.

The criterion requires temperatures strictly below

-20^\circ\text{C}

.

2

Extract and order the monthly operating costs (in thousands of dollars) for the filtered subset.

Ordered values:

144, 175, 198, 260

.

Sorting values in ascending order is necessary to calculate the median.

3

Calculate the median of the four operating cost values.

\text{Median} = \frac{175 + 198}{2} = 186.5

thousand dollars, which equals

\$186,500

.

For an even number of observations (

n = 4

), the median is the mean of the 2nd and 3rd ordered values.

4

Compare the calculated median to the threshold value in the statement.

\$186,500 > \$180,000

, confirming the statement is True.

The median operating cost exceeds the threshold of

\$180,000

.

Anahtar Kavram

Conditional Table Filtering and Median Calculation

Soru 51Soru →

The table below presents operational metrics for eight EV charging station networks.

Network ID	Region	Total Chargers	Fast Chargers (%)	Average Uptime (%)	Monthly Utilization (hrs/charger)
Alpha-1	North	45	40%	98.2%	310
Beta-2	South	60	25%	97.5%	280
Gamma-3	East	30	60%	99.1%	340
Delta-4	North	80	15%	96.8%	290
Epsilon-5	West	50	50%	98.7%	320
Zeta-6	South	40	45%	97.0%	350
Eta-7	East	70	30%	99.4%	260
Theta-8	West	55	60%	98.0%	330

Statement: If the table is sorted by Region in ascending alphabetical order, and any ties in Region are broken by sorting Fast Chargers (%) in descending order, the network in the North region with the higher Monthly Utilization will appear before the other North region network.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

The statement is True.

Sorting by Region alphabetically places the North region second (after East). To order the two North rows (Alpha-1 and Delta-4), we sort Fast Chargers (%) in descending order. Since 40% > 15%, Alpha-1 (Monthly Utilization = 310) precedes Delta-4 (Monthly Utilization = 290), making the statement true.

Adım Adım Çözüm

1

Identify networks located in the North region.

The North region includes Alpha-1 (Fast Chargers: 40%, Utilization: 310) and Delta-4 (Fast Chargers: 15%, Utilization: 290).

Filtering the table for the North region is necessary before applying the tie-breaker.

2

Apply the secondary sort rule (Fast Chargers % in descending order) to break the tie in the North region.

40% > 15%, so Alpha-1 comes before Delta-4.

Descending order puts higher percentages first.

3

Compare the Monthly Utilization values of the ordered North region networks.

Alpha-1 (310 hrs/charger) appears before Delta-4 (290 hrs/charger). The network with the higher utilization appears first.

This directly satisfies the condition stated.

Anahtar Kavram

Multi-column sorting requires applying a primary sort order to a categorical column and resolving identical values using a secondary quantitative column.

Tahmini Süre:1m 15s

Soru 52Soru →

The table below presents clinical trial enrollment and quality metrics for eight medical research sites participating in a pharmaceutical study:

Research Site	Region	Target Enrollment	Achieved Enrollment (%)	Protocol Deviations (per 100 subjects)
Site 101	North	150	95%	4.5
Site 102	East	120	95%	3.8
Site 103	South	200	92%	4.2
Site 104	West	150	92%	1.8
Site 105	North	200	90%	2.5
Site 106	East	250	88%	3.1
Site 107	West	180	85%	1.8
Site 108	South	200	85%	2.5

If the table is sorted in descending order by Achieved Enrollment (%), and any ties are broken by sorting in ascending order by Protocol Deviations (per 100 subjects), which research site will be listed 4th from the top?

Site 103

Site 104

Site 101

Site 105

Site 107

Cevabı ve açıklamayı göster

Cevap: Site 103

Cevap

Site 103 will be listed 4th from the top after applying the primary descending sort on Achieved Enrollment (%) and the secondary ascending sort tie-breaker on Protocol Deviations.

Sorting the table primarily by Achieved Enrollment (%) in descending order places the two 95% sites first, followed by the two 92% sites. Applying the secondary sort (Protocol Deviations in ascending order) places Site 104 (1.8 deviations) in 3rd position and Site 103 (4.2 deviations) in 4th position.

Adım Adım Çözüm

1

Group research sites by the primary sort key: Achieved Enrollment (%) in descending order.

Groups in order: 95% (Sites 101, 102), 92% (Sites 103, 104), 90% (Site 105), 88% (Site 106), 85% (Sites 107, 108).

Primary sort priority dictates that higher percentage values must appear before lower percentage values.

2

Apply the secondary tie-breaking condition: Protocol Deviations (per 100 subjects) in ascending order for tied groups.

For the 95% group: Site 102 (3.8) comes before Site 101 (4.5) -> Positions 1 and 2.
For the 92% group: Site 104 (1.8) comes before Site 103 (4.2) -> Positions 3 and 4.

Ascending order means lower numerical deviation values rank higher among tied entries.

3

Determine the site occupying the 4th position.

1st: Site 102, 2nd: Site 101, 3rd: Site 104, 4th: Site 103.

Site 103 is the second site within the 92% group after tie-breaking.

Anahtar Kavram

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

Tahmini Süre:1m 30s

Soru 53Soru →

The table below lists performance metrics for seven regional logistics distribution hubs:

Logistics Hub	Region	Order Fulfillment Rate (orders/hr)	On-Time Delivery Rate (%)	Storage Capacity (thousand sq ft)
Hub Alpha	North	420	94.5%	150
Hub Beta	East	510	91.2%	210
Hub Gamma	North	420	96.8%	180
Hub Delta	West	380	98.1%	120
Hub Epsilon	South	510	95.4%	190
Hub Zeta	East	470	93.0%	160
Hub Eta	South	510	92.5%	220

True or False: If the table is sorted primarily by Order Fulfillment Rate (orders/hr) in descending order, and ties are broken by On-Time Delivery Rate (%) in descending order, the hub ranked 3rd in the ordered list has a greater Storage Capacity than the hub ranked 5th.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True

Sorting the table by Order Fulfillment Rate descending places hubs with 510 orders/hr in the top positions. Breaking ties by On-Time Delivery Rate descending orders these three hubs as Hub Epsilon (95.4%), Hub Eta (92.5%), and Hub Beta (91.2%), making Hub Beta 3rd. The next group (420 orders/hr) orders Hub Gamma (96.8%) ahead of Hub Alpha (94.5%), placing Hub Gamma 5th overall. Comparing Hub Beta's storage capacity (210) to Hub Gamma's (180) confirms that

210 > 180

.

Adım Adım Çözüm

1

Group hubs by the primary sort key: Order Fulfillment Rate (orders/hr) in descending order.

Group 1 (510 orders/hr): Hub Beta, Hub Epsilon, Hub Eta. Group 2 (470 orders/hr): Hub Zeta. Group 3 (420 orders/hr): Hub Alpha, Hub Gamma. Group 4 (380 orders/hr): Hub Delta.

Primary ordering establishes the initial rank blocks.

2

Break ties within Group 1 and Group 3 using On-Time Delivery Rate (%) in descending order.

Group 1 order: Hub Epsilon (95.4%), Hub Eta (92.5%), Hub Beta (91.2%). Group 3 order: Hub Gamma (96.8%), Hub Alpha (94.5%).

Higher percentage values receive higher priority when sorting descending.

3

Combine the ordered groups to find the 3rd and 5th hubs.

1st: Hub Epsilon, 2nd: Hub Eta, 3rd: Hub Beta, 4th: Hub Zeta, 5th: Hub Gamma, 6th: Hub Alpha, 7th: Hub Delta.

Determines exact multi-column rank order.

4

Compare Storage Capacity for the 3rd-ranked hub (Hub Beta) and the 5th-ranked hub (Hub Gamma).

Hub Beta Storage Capacity = 210. Hub Gamma Storage Capacity = 180.

210 > 180

.

Directly evaluates the condition stated in the prompt.

Anahtar Kavram

Multi-column sorting and tie-breaker rank evaluation

Soru 54Soru →

The table below lists operational and financial metrics for 8 tech startups evaluated by a venture capital firm.

Startup	Sector	Annual Revenue Growth (%)	Customer Retention Rate (%)	Burn Multiple	Employee Headcount
AlphaTech	AI	140	85	1.8	45
BetaData	FinTech	110	92	1.4	60
GammaCloud	SaaS	140	88	1.2	80
DeltaHealth	HealthTech	165	78	2.1	35
EpsilonCyber	Cybersecurity	110	92	1.1	50
ZetaRobotics	AI	140	85	1.5	40
EtaPay	FinTech	165	84	1.6	70
ThetaSecure	Cybersecurity	110	89	1.3	55

Suppose the table is sorted in descending order by Annual Revenue Growth (%). For any startups tied in Annual Revenue Growth (%), the table is secondary sorted in descending order by Customer Retention Rate (%). If a tie still remains, the table is tertiary sorted in ascending order (lowest to highest) by Burn Multiple. Which startup will appear in the 4th position from the top after this multi-column sort?

AlphaTech

GammaCloud

ZetaRobotics

DeltaHealth

EpsilonCyber

Cevabı ve açıklamayı göster

Cevap: ZetaRobotics

Cevap

ZetaRobotics is in the 4th position from the top.

To determine the 4th startup after the multi-column sort:
1. Primary Sort (Annual Revenue Growth %, Descending):
- 165%: EtaPay, DeltaHealth
- 140%: GammaCloud, AlphaTech, ZetaRobotics
- 110%: BetaData, EpsilonCyber, ThetaSecure

2. Secondary Sort (Customer Retention Rate %, Descending):
- For the 165% group: EtaPay (84%) is 1st, DeltaHealth (78%) is 2nd.
- For the 140% group: GammaCloud (88%) is 3rd. AlphaTech (85%) and ZetaRobotics (85%) remain tied for 4th and 5th.

3. Tertiary Sort (Burn Multiple, Ascending):
- ZetaRobotics has a Burn Multiple of 1.5.
- AlphaTech has a Burn Multiple of 1.8.
- Since 1.5 is lower than 1.8, ZetaRobotics comes first among the tied pair, placing it in the 4th position overall.

Adım Adım Çözüm

1

Primary Sort: Order startups by Annual Revenue Growth (%) in descending order.

The highest growth rate is 165% (EtaPay, DeltaHealth), followed by 140% (AlphaTech, GammaCloud, ZetaRobotics), and 110% (BetaData, EpsilonCyber, ThetaSecure).

Groups must first be organized by the primary sorting column.

2

Evaluate the 165% Revenue Growth group to determine positions 1 and 2.

EtaPay (Retention 84%) and DeltaHealth (Retention 78%). Sorting by Customer Retention Rate descending puts EtaPay 1st and DeltaHealth 2nd.

Secondary sorting dictates that within ties, higher retention rates come first.

3

Evaluate the 140% Revenue Growth group to determine positions 3, 4, and 5.

GammaCloud has Retention 88% (ranks 3rd). AlphaTech and ZetaRobotics both have Retention 85% and remain tied.

GammaCloud has the highest secondary value in this group.

4

Apply the tertiary sort to break the tie between AlphaTech and ZetaRobotics for positions 4 and 5.

Sort by Burn Multiple ascending (lowest to highest): ZetaRobotics has a Burn Multiple of 1.5, while AlphaTech has 1.8. Thus, ZetaRobotics ranks 4th and AlphaTech ranks 5th.

Lower Burn Multiple takes priority in ascending tertiary order.

Anahtar Kavram

Multi-column hierarchical sorting with tie-breaker logic

Soru 55Soru →

The table below presents 2025 operational performance and cost metrics for eight regional commercial biofuel production facilities:

Facility Name	Feedstock Type	Annual Output (Million L)	Operating Cost ($/L)	Carbon Intensity Reduction (%)	Capacity Utilization Rate (%)
BioAlpha	Cellulosic	85	0.72	68%	88%
EcoEthanol	Corn Stover	120	0.55	45%	92%
GreenFuel X	Algae	40	1.10	82%	75%
PureBio	Used Cooking Oil	95	0.64	74%	95%
TerraFuel	Cellulosic	110	0.68	65%	82%
Vanguard Bio	Algae	60	0.98	85%	80%
SunFuel North	Corn Stover	150	0.50	42%	90%
NextGen Fuel	Used Cooking Oil	75	0.76	70%	85%

Based on the data provided, evaluate whether the following overall assertion is True or False:

"Exactly two of the three statements below are True:
- Statement 1: The median Annual Output among facilities with a Carbon Intensity Reduction of at least 70% is 67.5 Million Liters.
- Statement 2: For all facilities utilizing Cellulosic or Algae feedstock, the Operating Cost per Liter is strictly greater than $0.65.
- Statement 3: The facility with the highest Capacity Utilization Rate incurred a lower total annual operating cost (calculated as Annual Output × Operating Cost) than the facility with the lowest Capacity Utilization Rate."

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True. Statements 1 and 2 are True, while Statement 3 is False, meaning exactly two of the three statements are True.

Evaluating the individual statements reveals that Statement 1 is True (the median of {40, 60, 75, 95} is 67.5), Statement 2 is True (operating costs for Cellulosic and Algae facilities are

0.72,

1.10,

0.68, and

0.98, all greater than

0.65), and Statement 3 is False (PureBio's total cost of

60.8 Million exceeds GreenFuel X's total cost of $44.0 Million). Since exactly two statements are True, the overall compound assertion is True.

Adım Adım Çözüm

1

Evaluate Statement 1: Identify facilities with Carbon Intensity Reduction ≥ 70% and calculate their median Annual Output.

Facilities satisfying the condition are GreenFuel X (82%), PureBio (74%), Vanguard Bio (85%), and NextGen Fuel (70%). Their outputs are 40, 95, 60, and 75 Million Liters, respectively. Ordering these values: 40, 60, 75, 95. The median of an even set of four numbers is

(60 + 75) / 2 = 67.5

Million Liters. Thus, Statement 1 is True.

Correctly filtering by the conditional threshold (70%) and sorting the output values is required to calculate the median of an even dataset.

2

Evaluate Statement 2: Filter for facilities using Cellulosic or Algae feedstock and compare their Operating Costs to $0.65.

Facilities matching Cellulosic or Algae feedstock are BioAlpha (

0.72), GreenFuel X (

1.10), TerraFuel (

0.68), and Vanguard Bio (

0.98). Every single one of these operating costs is strictly greater than $0.65. Thus, Statement 2 is True.

A universal condition ('for all') requires checking every matching row to ensure no counterexample exists.

3

Evaluate Statement 3: Identify facilities with the highest and lowest Capacity Utilization Rates, compute their total annual operating costs, and compare.

Highest Capacity Utilization Rate: PureBio (95%). Total annual operating cost =

95 \text{ Million L} \times \$0.64/\text{L} = \$60.8 \text{ Million}

. Lowest Capacity Utilization Rate: GreenFuel X (75%). Total annual operating cost =

40 \text{ Million L} \times \$1.10/\text{L} = \$44.0 \text{ Million}

. Since

\$60.8 \text{ Million} > \$44.0 \text{ Million}

, the highest utilization facility did NOT incur a lower cost. Thus, Statement 3 is False.

Row-level product calculations must be performed accurately for both extreme values before evaluating the inequality.

4

Synthesize the truth values of the three statements to evaluate the overall assertion.

Statement 1 = True, Statement 2 = True, Statement 3 = False. Total number of True statements = 2. Therefore, the assertion 'Exactly two of the three statements below are True' is True.

The top-level boolean logic requires assessing whether the count of True individual statements equals 2.

Anahtar Kavram

Multi-Statement Boolean Evaluation

Soru 56Soru →

The table below presents operational metrics for 8 oceanographic research vessels participating in a global marine survey:

Vessel ID	Region	Active Days	Fuel Efficiency (nmi/ton)	Grants ($M)
Triton-1	Pacific	240	14.2	3.8
Nereus-4	Atlantic	215	18.5	4.2
Proteus-2	Pacific	240	16.0	2.9
Oceanus-7	Arctic	190	12.1	5.1
Calypso-3	Atlantic	260	15.4	3.1
Glaucus-5	Pacific	215	19.2	4.6
Thalassa-9	Indian	260	13.8	4.0
Doris-6	Atlantic	190	14.5	3.5

Based on the table above, evaluate whether the following statement is True or False:

"If the table is sorted primarily by Active Days in descending order, with ties broken by Fuel Efficiency in descending order, the vessel that ranks 4th from the top is Triton-1."

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True

Sorting primarily by Active Days descending places Calypso-3 and Thalassa-9 in positions 1–2, and Proteus-2 and Triton-1 in positions 3–4. Applying the secondary sort by Fuel Efficiency descending resolves the tie between Proteus-2 (16.0 nmi/ton) and Triton-1 (14.2 nmi/ton), placing Proteus-2 3rd and Triton-1 4th.

Adım Adım Çözüm

1

Group and sort vessels by the primary criterion (Active Days in descending order).

Tier 1 (260 days): Calypso-3, Thalassa-9. Tier 2 (240 days): Triton-1, Proteus-2. Tier 3 (215 days): Nereus-4, Glaucus-5. Tier 4 (190 days): Oceanus-7, Doris-6.

Primary sort determines the overarching rank brackets.

2

Apply the secondary tie-breaker (Fuel Efficiency in descending order) to resolve order within tied groups.

For Tier 1 (260 days): Calypso-3 (15.4) > Thalassa-9 (13.8) -> Ranks 1 and 2. For Tier 2 (240 days): Proteus-2 (16.0) > Triton-1 (14.2) -> Ranks 3 and 4.

Higher fuel efficiency takes precedence when active days are identical.

3

Identify the vessel occupying the 4th position.

Position 4 is occupied by Triton-1.

Proteus-2 claims 3rd place, leaving Triton-1 in 4th place.

Anahtar Kavram

Multi-Column Tie-Breaking and Hierarchical Table Sorting

Tahmini Süre:1m 30s

Soru 57Soru →

The table below presents operating and compliance metrics for seven municipal water treatment plants during 2025:

Plant Name	Daily Capacity (MGD)	Operating Cost ($/MG)	Compliance Rate (%)	Energy Consumption (kWh/MG)	Staff Count
Clearwater Station	45	320	98.4%	1,450	28
Blue River Plant	80	280	99.1%	1,200	42
Oak Valley Works	30	410	97.8%	1,680	22
Pine Creek Facility	110	250	99.5%	1,150	50
Cedar Ridge Station	60	340	98.9%	1,380	35
Ironwood Treatment	25	450	96.5%	1,750	18
Laurel Heights	70	310	98.7%	1,300	31

Match each statement on the left with its correct boolean evaluation outcome and quantitative justification on the right.

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

Statement I matches with the outcome stating it evaluates to FALSE (

310 <

337.14); Statement II matches with the outcome stating it evaluates to TRUE (2.03 > 2.0); Statement III matches with the outcome stating it evaluates to FALSE (70 MGD < 110 MGD).

Each statement matches its exact evaluation outcome based on standard tabular data calculations: Statement I evaluates to False because

310 per MG is below the

337.14 per MG mean; Statement II evaluates to True because 320 divided by 158 equals approximately 2.03, which is greater than 2.0; Statement III evaluates to False because a capacity of 70 MGD is less than 110 MGD.

Adım Adım Çözüm

1

Evaluate Statement I by determining the median staff count and mean operating cost.

Sorted staff counts: 18, 22, 28, 31 (Laurel Heights), 35, 42, 50. Median plant is Laurel Heights with an operating cost of

310. Mean operating cost = (320 + 280 + 410 + 250 + 340 + 450 + 310) / 7 = 2360 / 7 ≈

337.14. Since

310 is less than

337.14, Statement I is False.

Identify the median position (4th out of 7) and compare its specific column value to the unweighted mean across all rows.

2

Evaluate Statement II by filtering plants with compliance > 98.5% and calculating aggregate capacity to staff ratio.

Qualifying plants are Blue River, Pine Creek, Cedar Ridge, and Laurel Heights. Total capacity = 80 + 110 + 60 + 70 = 320 MGD. Total staff = 42 + 50 + 35 + 31 = 158. Ratio = 320 / 158 ≈ 2.025 MGD/staff. Since 2.025 > 2.0, Statement II is True.

Filter rows according to a conditional threshold, aggregate columns across the selected subset, and perform ratio division.

3

Evaluate Statement III by sorting by Energy Consumption and comparing capacities of the 3rd-lowest energy plant and 1st-lowest cost plant.

Energy ordered plants: Pine Creek (1,150), Blue River (1,200), Laurel Heights (1,300). 3rd-lowest is Laurel Heights (Capacity = 70 MGD). Lowest operating cost plant is Pine Creek ($250, Capacity = 110 MGD). Comparing capacities: 70 MGD < 110 MGD. Statement III is False.

Sort table columns independently to locate specified ordinal positions (3rd-lowest energy, 1st-lowest cost) and compare their respective cross-column properties.

Anahtar Kavram

Multi-Statement Boolean Evaluation using tabular sorting, descriptive statistics, conditional filtering, and cross-column ratios.

Tahmini Süre:2m 0s

Soru 58Soru →

The table below lists operational data for seven regional hydroelectric power stations:

Station Name	River System	Installed Capacity (MW)	Annual Generation (GWh)	Operating Efficiency (%)
Apex Dam	Columbia	450	1,800	88%
Beacon Hydro	Snake	320	1,440	92%
Crest Falls	Columbia	500	1,950	85%
Delta Flow	Missouri	280	1,120	90%
Eagle Ridge	Snake	400	1,600	86%
Frontier Hydro	Missouri	350	1,470	91%
Glacier Peak	Columbia	420	1,764	89%

Statement: If the table is sorted in ascending alphabetical order by River System, and any ties in River System are broken by sorting Operating Efficiency in descending order, Beacon Hydro will appear immediately above Eagle Ridge in the sorted list.

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True

Sorting primarily by River System (alphabetical) places the two Snake stations at the bottom of the table. Breaking the tie by sorting Operating Efficiency descending places Beacon Hydro (92%) above Eagle Ridge (86%), confirming Beacon Hydro immediately precedes Eagle Ridge.

Adım Adım Çözüm

1

Group rows by the primary sort key: River System in ascending alphabetical order.

The river systems are ordered as Columbia, then Missouri, then Snake.

Alphabetical sorting orders C before M, and M before S.

2

Sort the entries within each river system group by the tie-breaker rule: Operating Efficiency in descending order.

Columbia group: Glacier Peak (89%), Apex Dam (88%), Crest Falls (85%). Missouri group: Frontier Hydro (91%), Delta Flow (90%). Snake group: Beacon Hydro (92%), Eagle Ridge (86%).

Descending efficiency puts higher percentage values above lower percentage values within each group.

3

Combine the ordered groups to form the complete sorted list.

Position 1: Glacier Peak, Position 2: Apex Dam, Position 3: Crest Falls, Position 4: Frontier Hydro, Position 5: Delta Flow, Position 6: Beacon Hydro, Position 7: Eagle Ridge.

Evaluating positions shows Beacon Hydro (6th) is placed directly above Eagle Ridge (7th).

Anahtar Kavram

Sorting and Multi-Column Ordering

Soru 59Soru →

The table below presents 2025 operational and patient triage metrics for seven regional emergency departments:

Hospital Name	Annual Patient Volume (thousands)	Median Wait Time (min)	Mean Treatment Duration (hrs)	Left Without Being Seen (LWBS) Rate	30-Day Readmission Rate
St. Jude Regional	48	24	3.5	1.8%	4.2%
Metro Central	85	42	4.8	3.5%	5.8%
Valley General	62	30	4.0	2.4%	4.5%
Highland Medical	35	18	3.2	1.2%	3.8%
Pinecrest Community	28	15	2.8	0.9%	3.5%
University Health	92	48	5.2	4.1%	6.2%
Riverside Care	54	28	3.8	2.1%	4.9%

Evaluate whether the following statement is True or False:
"For every hospital with an annual patient volume exceeding 50,000, the ratio of Median Wait Time (in minutes) to Mean Treatment Duration (in hours) is strictly greater than 7.0."

Doğru

Yanlış

Cevabı ve açıklamayı göster

Cevap: True

Cevap

True. All four hospitals with annual patient volume exceeding 50,000 have a wait-to-treatment duration ratio greater than 7.0.

Filtering the table for hospitals with annual patient volume exceeding 50 thousand isolates Metro Central, Valley General, University Health, and Riverside Care. Calculating the ratio of median wait time (minutes) to mean treatment duration (hours) yields 8.75, 7.50, 9.23, and 7.37 respectively. Because every single one of these values exceeds 7.0, the statement is True.

Adım Adım Çözüm

1

Filter the dataset based on the volume condition.

Identified four hospitals with annual volume > 50k: Metro Central (85), Valley General (62), University Health (92), and Riverside Care (54).

The statement specifies a condition that applies only to hospitals with patient volume over 50 thousand.

2

Calculate the ratio of Median Wait Time (minutes) to Mean Treatment Duration (hours) for each qualifying hospital.

Metro Central = 8.75; Valley General = 7.50; University Health ≈ 9.23; Riverside Care ≈ 7.37.

Determines the exact numerical value of the ratio for each qualifying row.

3

Compare each calculated ratio to the threshold value of 7.0.

All four calculated ratios are strictly greater than 7.0.

Verifies whether the universal claim ('for every hospital...') holds true.

Anahtar Kavram

Multi-Statement Boolean Evaluation via Conditional Data Filtering and Ratio Analysis

Soru 60Soru →

The table below displays performance metrics for seven regional freight rail terminals.

Terminal ID	Region	Cargo Handled (Thousand Tons)	On-Time Dispatch Rate (%)	Operating Cost per Ton ($)
T-1	East	450	92.5%	14.20
T-2	West	620	88.0%	11.50
T-3	North	450	94.0%	15.80
T-4	South	580	92.5%	12.10
T-5	East	620	91.5%	10.80
T-6	North	390	95.5%	16.40
T-7	West	580	89.0%	13.00

If the table is sorted in descending order by Cargo Handled, and any ties are broken by sorting in descending order by On-Time Dispatch Rate, which terminal will be listed fourth from the top?

Terminal T-2

Terminal T-4

Terminal T-7

Terminal T-1

Terminal T-3

Cevabı ve açıklamayı göster

Cevap: Terminal T-7

Cevap

Terminal T-7

Primary sorting by Cargo Handled in descending order groups the top two tiers as 620 thousand tons (T-5, T-2) and 580 thousand tons (T-4, T-7). Secondary sorting by On-Time Dispatch Rate in descending order ranks T-4 (92.5%) above T-7 (89.0%) within the 580 thousand tons group. This places T-5 first, T-2 second, T-4 third, and Terminal T-7 fourth.

Adım Adım Çözüm

1

Group and order the table by the primary column: Cargo Handled (descending).

Highest tier (620 thousand tons): T-2, T-5; Second tier (580 thousand tons): T-4, T-7; Third tier (450 thousand tons): T-1, T-3; Lowest tier (390 thousand tons): T-6.

The primary sort requires arranging entries from largest to smallest cargo volume.

2

Apply the secondary sort criterion (On-Time Dispatch Rate descending) to break ties in each cargo tier.

Tier 1 (620 thousand tons): T-5 (91.5%) is 1st, T-2 (88.0%) is 2nd. Tier 2 (580 thousand tons): T-4 (92.5%) is 3rd, T-7 (89.0%) is 4th.

When primary values are identical, higher on-time dispatch rates take precedence.

3

Identify the item in the 4th position of the fully sorted list.

The 4th terminal in sequence is Terminal T-7.

Terminal T-7 is second in the 580 thousand tons tier due to its 89.0% dispatch rate compared to T-4's 92.5%.

Anahtar Kavram

Multi-Column Sorting and Tie-Breaking

Tahmini Süre:1m 30s

Table Analysis

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