Quantitative Data Reconciliation Across Sources Alıştırma Soruları — GMAT

Tab 1: Cloud Provider Tiered Pricing Policy

CloudOps Enterprise Tier charges a flat base rate of $\$10,000$ per month, which includes up to $50,000$ Compute Hours (CH). Additional compute hours beyond $50,000$ CH up to $100,000$ CH are billed at a discounted overage rate of $\$0.15$ per CH. Compute hours exceeding $100,000$ CH in a given month are billed at the standard overage rate of $\$0.25$ per CH. Furthermore, a data egress surcharge of $\$0.02$ per Gigabyte (GB) is applied to all egress data exceeding $10$ Terabytes (TB) in a month (where $1\text{ TB} = 1,000\text{ GB}$ ).

Tab 2: Q3 Server Log Summary (Region Alpha)

- August 2026: Region Alpha logged a total of $85,000$ Compute Hours and transferred $15\text{ TB}$ of egress data.
- September 2026: Region Alpha logged a total of $110,000$ Compute Hours and transferred $8\text{ TB}$ of egress data.

Based on the pricing policy in Tab 1 and the usage logs in Tab 2, evaluate whether the following statement is True or False:

"The total combined cloud infrastructure invoice for Region Alpha for August 2026 and September 2026 combined exceeds $\$33,000$ ."

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Cevabı ve açıklamayı göster

Cevap: True

Cevap

True. Reconciling the tiered pricing policy with the usage logs yields an August invoice of

15,350 and a September invoice of

20,000, giving a combined total of

35,350, which exceeds

33,000.

The correct answer is True because calculated billing for August 2026 is

15,350 (

10,000 base +

5,250 Tier 1 overage +

100 egress surcharge) and for September 2026 is

20,000 (

10,000 base +

7,500 Tier 1 overage +

2,500 Tier 2 overage +

0 egress surcharge). The combined total of

35,350 exceeds the target threshold of $33,000.

Adım Adım Çözüm

1

Calculate August 2026 compute cost and data egress surcharge.

August compute cost =

10,000 + (35,000 *

0.15) =

15,250. Egress excess = 15,000 GB - 10,000 GB = 5,000 GB, so surcharge = 5,000 *

0.02 =

100. Total August invoice =

15,350.

Compute usage of 85,000 CH fills the base 50,000 CH plus 35,000 CH in Tier 1 overage ($0.15/CH). Egress of 15 TB exceeds the 10 TB allowance by 5 TB (5,000 GB).

2

Calculate September 2026 compute cost and data egress surcharge.

September compute cost =

10,000 + (50,000 *

0.15) + (10,000 *

0.25) =

20,000. Egress surcharge =

0. Total September invoice =

20,000.

Compute usage of 110,000 CH fills the base 50,000 CH, the maximum 50,000 CH in Tier 1 overage (

7,500), and 10,000 CH in Tier 2 overage (

0.25/CH = $2,500). Egress of 8 TB does not exceed the 10 TB threshold.

3

Reconcile combined invoice total and compare against the $33,000 threshold.

Combined total =

15,350 +

20,000 =

35,350. Since

35,350 > $33,000, the statement is True.

Summing both monthly totals reconciles data across both tabs to evaluate the benchmark condition.

Anahtar Kavram

Quantitative Data Reconciliation Across Multi-Tier Pricing Policies and Usage Logs

Soru 2Soru →

Tab 1: Biomass Plant Operational Log (Month of August)
- Total Raw Energy Output Generated: $4,500\text{ MWh}$
- Internal Auxiliary Consumption: $10\%$ of Total Raw Energy Output Generated
- Net Energy Metered at Substation Gateway: $4,050\text{ MWh}$

Tab 2: Regional Grid Operator Metering Report (Month of August)
- Transmission Gateway Line Loss Rate: $4\%$ on all energy metered at Substation Gateway before reaching the regional grid hub.
- Total Energy Received at Regional Grid Hub: $3,888\text{ MWh}$

Tab 3: Financial Settlement & Tariff Agreement
- Standard Purchase Rate: $\$80$ per MWh of energy successfully received at the Regional Grid Hub.
- Transmission Loss Penalty Provision: If the total line loss volume (difference between Net Energy Metered at Substation Gateway and Energy Received at Regional Grid Hub) exceeds $150\text{ MWh}$ , a surcharge penalty of $\$25$ per MWh is assessed on the ENTIRE line loss volume and deducted from the final settlement.

Statement to Evaluate:
Based on the quantitative data reconciled across all three sources, the final net financial settlement payout to the Biomass Plant for August is $\$306,990$ .

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Cevap: True

Cevap

The statement is TRUE. Reconciling data across all three tabs demonstrates that after applying the standard rate of

\$80/\text{MWh}

for

3,888\text{ MWh}

received and deducting the

\$4,050

transmission loss penalty for

162\text{ MWh}

lost, the net settlement amount equals exactly

\$306,990

.

The evaluated statement is correct because the reconciliation of internal metering (Tab 1), grid reception reports (Tab 2), and tariff terms (Tab 3) yields a gross payout of

\$311,040

(

3,888\text{ MWh} \times \$80

) minus a line loss penalty of

\$4,050

(

162\text{ MWh} \times \$25

), resulting in a net payout of exactly

\$306,990

.

Adım Adım Çözüm

1

Calculate the standard purchase payout based on Tab 2 and Tab 3 data.

Standard Payout =

3,888\text{ MWh} \times \$80 = \$311,040

.

Tab 3 specifies that standard payment is made only for energy successfully received at the Regional Grid Hub (

3,888\text{ MWh}

from Tab 2).

2

Determine line loss volume by reconciling Gateway meter output (Tab 1) against Grid Hub received energy (Tab 2).

Line Loss Volume =

4,050\text{ MWh} - 3,888\text{ MWh} = 162\text{ MWh}

.

Line loss is defined in Tab 3 as the difference between Substation Gateway metered energy and Regional Grid Hub received energy.

3

Evaluate the penalty trigger condition from Tab 3 and calculate penalty deductions.

Penalty applies because

162\text{ MWh} > 150\text{ MWh}

. Penalty amount =

162\text{ MWh} \times \$25 = \$4,050

.

Tab 3 mandates a

\$25/\text{MWh}

penalty on the entire line loss volume if the discrepancy exceeds

150\text{ MWh}

.

4

Deduct penalty from standard payout to compute final net settlement.

Final Net Settlement =

\$311,040 - \$4,050 = \$306,990

.

Reconciling gross earnings and penalty deductions yields the exact stated settlement.

Anahtar Kavram

Cross-Source Quantitative Data Reconciliation and Penalty Surcharge Evaluation

Soru 3Soru →

Tab 1: Plant Operational Log (Month of May)
- Line 1: Operates at a rate of $250\text{ units per hour}$ with a power consumption of $300\text{ kWh per hour}$ . Total operating time in May: $400\text{ hours}$ .
- Line 2: Operates at a rate of $250\text{ units per hour}$ with a power consumption of $600\text{ kWh per hour}$ . Total operating time in May: $200\text{ hours}$ .

Tab 2: Utility Tariff & Clean Energy Incentive Policy
- Standard Power Rate: $\$0.15\text{ per kWh}$ for all electricity consumed.
- Energy Intensity Metric: Defined as $\text{Facility Energy Intensity} = \frac{\text{Total Electricity Consumed (kWh)}}{\text{Total Valid Units Produced}}$ .
- Incentive Rebate: If the monthly Facility Energy Intensity is less than or equal to $1.80\text{ kWh per unit}$ , the facility receives a $15\%$ rebate discount applied to the total monthly electricity bill. Otherwise, standard power rates apply to the entire consumption with no discount.

Tab 3: Quality Assurance Audit Report
- Line 1 Audit: Quality control verified that $10\%$ of all units produced on Line 1 during May failed quality standards and were scrapped (not counted as valid units).
- Line 2 Audit: Quality control verified that $50\%$ of all units produced on Line 2 during May failed quality standards and were scrapped (not counted as valid units).
- Energy Data Verification: Recorded power consumption rates and operating hours from Tab 1 were confirmed to be $100\%$ accurate.

Based on the information provided across the three tabs, what is the total net electricity cost for the facility for the month of May?

$

30,600

$

33,300

$

36,000

$

17,250

$

40,500

Cevabı ve açıklamayı göster

Cevap: $ $36,000$

Cevap

The total net electricity cost for the facility for May is $36,000 because the reconciled facility energy intensity of approximately 2.09 kWh per unit exceeds the 1.80 kWh per unit threshold required for the 15% rebate.

The correct answer is

36,000. Reconciling Tab 1 and Tab 3 shows total electricity consumption of 240,000 kWh (120,000 kWh from Line 1 + 120,000 kWh from Line 2) and net valid production of 115,000 units (90,000 valid units from Line 1 + 25,000 valid units from Line 2). Dividing 240,000 kWh by 115,000 units yields a facility energy intensity of approximately 2.09 kWh per unit. Because 2.09 exceeds the 1.80 kWh per unit threshold defined in Tab 2, the facility fails to qualify for the 15% rebate discount and pays the standard tariff rate of

0.15 per kWh across all 240,000 kWh, totaling $36,000.

Adım Adım Çözüm

1

Calculate total electricity consumed across both production lines using Tab 1 data.

Line 1 energy =

400\text{ hours} \times 300\text{ kWh/hour} = 120,000\text{ kWh}

. Line 2 energy =

200\text{ hours} \times 600\text{ kWh/hour} = 120,000\text{ kWh}

. Total electricity consumed =

240,000\text{ kWh}

.

Establishing the total power consumption is necessary to determine both energy intensity and base bill calculation.

2

Calculate gross production from Tab 1 and adjust for scrapped units using Tab 3 audit data to find total valid units.

Line 1 gross units =

400 \times 250 = 100,000

; valid units =

100,000 \times (1 - 0.10) = 90,000

. Line 2 gross units =

200 \times 250 = 50,000

; valid units =

50,000 \times (1 - 0.50) = 25,000

. Total valid units =

90,000 + 25,000 = 115,000\text{ units}

.

Tab 2 defines the energy intensity denominator specifically as valid units produced, requiring reconciliation with Tab 3 scrap rates.

3

Compute the reconciled Facility Energy Intensity and check against the Tab 2 rebate policy threshold.

Reconciled Intensity =

\frac{240,000\text{ kWh}}{115,000\text{ units}} \approx 2.087\text{ kWh/unit}

. Since

2.087 > 1.80

, the facility does not qualify for the 15% rebate.

Determining whether the facility meets the policy threshold determines whether a discount applies.

4

Calculate the total net electricity cost at the standard rate without discount.

Total Cost =

240,000\text{ kWh} \times \$0.15/\text{kWh} = \$36,000

.

Standard tariff applies to total energy consumption when incentive criteria are not met.

Anahtar Kavram

Cross-tab quantitative reconciliation requiring integration of operational logs, policy thresholds, and audit adjustments.

Soru 4Soru →

Tab 1: Biopharmaceutical Batch Processing Log
- Initial Harvest Volume: $2,000\text{ Liters}$
- Active Pharmaceutical Ingredient (API) Concentration: $50\text{ mg/mL}$
- Purification Loss: $15\%$ of initial liquid volume lost during filtration

Tab 2: Encapsulation & Quality Inspection Audit
- Total Capsules Manufactured: $400,000\text{ units}$
- API Dosage per Unit: $200\text{ mg}$
- Inspection Rejection Rate: $5\%$ of manufactured units destroyed due to quality variance

Based on the information provided in Tab 1 and Tab 2, evaluate the following statement as True or False:

*Statement: The total mass of API contained in all accepted (non-rejected) manufactured capsules represents exactly $76\%$ of the total API present in the initial raw harvest batch.*

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Cevap: True

Cevap

True. The total mass of API contained in the accepted capsules (76 kg) is exactly 76% of the initial raw harvest API mass (100 kg).

The evaluation of True is correct because the initial API mass from Tab 1 (

2,000,000\text{ mL} \times 50\text{ mg/mL} = 100\text{ kg}

) when reconciled with the net accepted capsule output from Tab 2 (

400,000 \times 0.95 \times 200\text{ mg} = 76\text{ kg}

) confirms a precise ratio of

\frac{76\text{ kg}}{100\text{ kg}} = 76\%

.

Adım Adım Çözüm

1

Calculate the total initial API mass harvested prior to purification using Tab 1.

Initial Volume

= 2,000\text{ L} = 2,000,000\text{ mL}

. Initial API Mass

= 2,000,000\text{ mL} \times 50\text{ mg/mL} = 100,000,000\text{ mg} = 100\text{ kg}

.

Establishing the baseline quantity of active compound from the source data.

2

Calculate the number of accepted capsules following quality inspection using Tab 2.

Accepted Capsules

= 400,000 \times (1 - 0.05) = 380,000\text{ units}

.

Accounting for the packaging quality rejection loss to isolate usable units.

3

Calculate the total API mass contained in accepted capsules.

Accepted API Mass

= 380,000\text{ units} \times 200\text{ mg/unit} = 76,000,000\text{ mg} = 76\text{ kg}

.

Determining the net yield of active constituent delivered in final accepted products.

4

Reconcile the accepted API mass against the initial harvest baseline.

Percentage

= \frac{76\text{ kg}}{100\text{ kg}} \times 100\% = 76\%

.

Comparing final output to initial input across tabs to verify the target statement.

Anahtar Kavram

Quantitative Data Reconciliation Across Sources

Quantitative Data Reconciliation Across Sources

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