All practice questions

The table below presents operational performance metrics for six properties within a boutique hotel portfolio:

Property Name	Region	Occupancy Rate (%)	Average Daily Rate ($)	Customer Satisfaction (1–10)
Grand Azure	Coastal	82	340	9.1
Alpine Haven	Mountain	75	410	8.8
Urban Vantage	Metropolitan	88	290	8.4
Solstice Resort	Coastal	68	450	9.3
Metro Elite	Metropolitan	91	310	8.6
Highland Lodge	Mountain	79	380	9.0

Which of the following statements regarding the portfolio data are true? Select all that apply.

Select all that apply

Exactly 3 properties have an Occupancy Rate of at least 80% AND a Customer Satisfaction score of at least 8.5.

Among properties with an Average Daily Rate greater than $350, exactly 2 have a Customer Satisfaction score of at least 9.0.

No property in the Mountain region has an Occupancy Rate exceeding 80% OR an Average Daily Rate below $350.

All properties located in the Coastal region have an Occupancy Rate of at least 70% AND an Average Daily Rate of at least $350.

Exactly 4 properties satisfy at least one of the following criteria: Occupancy Rate greater than 85% OR Average Daily Rate greater than $400.

Show answer & explanation

Answer: Among properties with an Average Daily Rate greater than $350, exactly 2 have a Customer Satisfaction score of at least 9.0.; No property in the Mountain region has an Occupancy Rate exceeding 80% OR an Average Daily Rate below$ 350.; Exactly 4 properties satisfy at least one of the following criteria: Occupancy Rate greater than 85% OR Average Daily Rate greater than $400.

Answer

The correct statements are those identifying 2 properties with ADR over

350 and satisfaction of at least 9.0, stating that no Mountain property exceeds 80% occupancy or has ADR below

350, and noting that exactly 4 properties satisfy either an occupancy over 85% or an ADR over $400.

The correct options properly execute multi-column boolean criteria (AND vs. OR). Specifically: filtering properties with ADR over

350 for satisfaction at or above 9.0 correctly isolates 2 properties; evaluating Mountain region properties confirms zero satisfy either occupancy over 80% or ADR under

350; and combining properties with occupancy over 85% or ADR over $400 correctly identifies a subset of 4 properties.

Step-by-Step Solution

1

Evaluate the statement regarding Occupancy Rate

\geq 80\%

AND Customer Satisfaction

\geq 8.5

.

Properties meeting Occupancy

\geq 80\%

are Grand Azure (82%), Urban Vantage (88%), and Metro Elite (91%). Of these, Urban Vantage has a satisfaction of 8.4 (

< 8.5

). Only 2 properties meet both criteria, making this statement false.

Conjunctive filtering requires both conditions to hold simultaneously.

2

Evaluate the statement regarding properties with ADR

> \$350

having Customer Satisfaction

\geq 9.0

.

Properties with ADR

> \$350

are Alpine Haven (

\$410

), Solstice Resort (

\$450

), and Highland Lodge (

\$380

). Solstice Resort (9.3) and Highland Lodge (9.0) meet the satisfaction threshold (2 properties total), making this statement true.

First filter the subset by ADR threshold, then apply the satisfaction criterion.

3

Evaluate the statement regarding Mountain region properties having Occupancy

> 80\%

OR ADR

< \$350

.

Alpine Haven (75%,

\$410

) and Highland Lodge (79%,

\$380

) both fail both conditions. Therefore, 0 Mountain properties satisfy the OR condition, making the statement true.

Disjunctive filtering checks if at least one condition is met per property.

4

Evaluate the statement regarding Coastal properties having Occupancy

\geq 70\%

AND ADR

\geq \$350

.

Grand Azure has ADR

\$340 < \$350

, and Solstice Resort has Occupancy

68\% < 70\%

. Since neither satisfies both criteria, the statement is false.

A universal condition requires all items in the subset to satisfy the full compound logic.

5

Evaluate the statement regarding properties with Occupancy

> 85\%

OR ADR

> \$400

.

Occupancy

> 85\%

: Urban Vantage, Metro Elite. ADR

> \$400

: Alpine Haven, Solstice Resort. Combining these gives 4 unique properties, making the statement true.

An inclusive OR filter pools all elements that satisfy either criterion.

Key Concept

Conditional Filtering and Selection

Question 2Question →

[Tab 1: Fleet Eco-Rebate Policy (2026)]
Urban Logistics Incentive Rules:
- Category A Vehicles (Electric Delivery Vans): Qualify for a $4,000 base rebate per unit if acquired in Q1 or Q2 of 2026. Qualify for a$ 2,000 base rebate per unit if acquired in Q3 or Q4 of 2026.
- Battery Bonus Exception: Any Category A vehicle equipped with a long-range battery receives an additional $1,000 bonus rebate above its base rebate, regardless of acquisition quarter.
- Non-Category A Vehicles: Not eligible for rebates under this program.

[Tab 2: Logistics Fleet Acquisition Log (2026)]

Vehicle ID	Category	Acquisition Quarter	Battery Specification	Vehicle Unit Cost
V-101	Category A	Q1	Standard	$30,000
V-102	Category A	Q2	Long-Range	$35,000
V-103	Category A	Q3	Standard	$31,000
V-104	Category B	Q1	Long-Range	$40,000
V-105	Category A	Q4	Long-Range	$36,000

Based on the information provided in Tab 1 and Tab 2, which of the following statements must be true? (Select all that apply.)

Select all that apply

Vehicle V-102 qualifies for a total rebate of $5,000.

Vehicle V-103 receives a lower total rebate than Vehicle V-101.

Vehicle V-104 qualifies for a total rebate of $5,000 because it has a long-range battery acquired in Q1.

Vehicle V-105 qualifies for only a $2,000 rebate because it was acquired in Q4.

Vehicle V-101 and Vehicle V-102 receive identical base rebates before battery bonuses are considered.

Show answer & explanation

Answer: Vehicle V-102 qualifies for a total rebate of $5,000.; Vehicle V-103 receives a lower total rebate than Vehicle V-101.; Vehicle V-101 and Vehicle V-102 receive identical base rebates before battery bonuses are considered.

Answer

The correct statements are the ones indicating that Vehicle V-102 qualifies for a total rebate of $5,000; Vehicle V-103 receives a lower total rebate than Vehicle V-101; and Vehicle V-101 and Vehicle V-102 receive identical base rebates before battery bonuses are considered.

Synthesizing the policy terms in Tab 1 with the vehicle log in Tab 2 yields precise rebate totals. Vehicle V-102 receives

4,000 base (Q2) +

1,000 battery bonus =

5,000 total. Vehicle V-103 receives

2,000 total, which is less than Vehicle V-101 (

4,000 total). Furthermore, both V-101 (Q1) and V-102 (Q2) share the same

4,000 base rebate structure prior to battery bonus additions.

Step-by-Step Solution

1

Determine rebate rules for each vehicle by synthesizing category, quarter, and battery specifications across Tab 1 and Tab 2.

V-101: Base

4,000 (Q1) +

0 bonus =

4,000 total. V-102: Base

4,000 (Q2) +

1,000 bonus (Long-Range) =

5,000 total.
V-103: Base

2,000 (Q3) +

0 bonus =

2,000 total. V-104: Category B =

0 rebate.
V-105: Base

2,000 (Q4) +

1,000 bonus (Long-Range) = $3,000 total.

Rebate determination requires cross-referencing vehicle characteristics from Tab 2 against policy criteria and explicit exceptions in Tab 1.

2

Evaluate each statement against the calculated values.

Statement regarding V-102 receiving

5,000 is true (

4,000 +

1,000). Statement regarding V-103 (

2,000) receiving less than V-101 (

4,000) is true. Statement regarding V-104 receiving

5,000 is false (Category B receives

0). Statement regarding V-105 receiving only

2,000 is false (misses the

1,000 battery bonus, making total

3,000).
Statement regarding V-101 and V-102 receiving identical base rebates ($4,000) is true.

Confirms which statements logically hold true under the combined data sources.

Key Concept

Multi-Source Inference and Synthesis

Question 3Question →

The following three sources provide details regarding a Phase II clinical trial for a new therapeutic candidate:

Tab 1: Clinical Trial Protocol (Section 3.2)
Subjects in Arm A are scheduled to receive a daily dose of $50\text{ mg}$ of Active Drug X for $14\text{ consecutive days}$ , followed immediately by a $7\text{-day}$ washout period during which $0\text{ mg}$ of medication is administered. Subjects in Arm B receive a matching placebo daily for $21\text{ consecutive days}$ .

Tab 2: Central Pharmacy Dispensing Log
During the 21-day trial window, the central pharmacy logged a total cumulative dosage of $700\text{ mg}$ of Active Drug X dispensed per subject in Arm A, and $0\text{ mg}$ dispensed per subject in Arm B.

Tab 3: Independent Auditor Compliance Report
The compliance audit reveals that subjects in Arm A logged active pill ingestion on each of the $21\text{ days}$ of the trial window, recording no days with zero medication intake.

Which of the following statements, if true, would help explain or resolve the apparent discrepancy between the protocol specification, the pharmacy dispensing logs, and the auditor's compliance report? Select all that apply.

Select all that apply

Arm A subjects ingested a reduced daily dose of approximately

33.3\text{ mg}

per day evenly over all 21 days rather than

50\text{ mg}

per day for 14 days.

Subjects in Arm A received 21 daily tablets containing

50\text{ mg}

of Active Drug X each.

The central pharmacy pre-packaged the

700\text{ mg}

total allocation into 21 lower-dose daily capsules instead of 14 standard-dose capsules.

The 7-day washout period was mistakenly enforced during the first 7 days of the trial rather than the final 7 days.

Arm B subjects mistakenly received the

50\text{ mg}

daily dose intended for Arm A during the washout period.

Show answer & explanation

Answer: Arm A subjects ingested a reduced daily dose of approximately $33.3\text{ mg}$ per day evenly over all 21 days rather than $50\text{ mg}$ per day for 14 days.; The central pharmacy pre-packaged the $700\text{ mg}$ total allocation into 21 lower-dose daily capsules instead of 14 standard-dose capsules.

Answer

The discrepancy is resolved by options stating that subjects ingested approximately 33.3 mg per day across all 21 days, or that the pharmacy pre-packaged the 700 mg allocation into 21 lower-dose daily capsules.

The correct options present scenarios where the total active drug allocation of 700 mg (from the pharmacy logs) is spread across all 21 trial days (from the compliance audit), resulting in a lower daily dosage of approximately 33.3 mg per day. This reconciles the 21 active ingestion days with the 700 mg total quantity dispensed.

Step-by-Step Solution

1

Identify the conflict between the sources.

Tab 1 prescribes

50\text{ mg/day} \times 14\text{ days} = 700\text{ mg}

plus a 7-day washout (0 mg/day). Tab 2 confirms a total of

700\text{ mg}

dispensed for Arm A. Tab 3 shows active ingestion on all 21 days (0 washout days).

To resolve the conflict, any valid hypothesis must account for 21 active days of ingestion while keeping the total active drug amount at

700\text{ mg}

.

2

Evaluate hypotheses regarding daily dose re-apportionment.

Dividing

700\text{ mg}

by 21 days yields

\frac{700}{21} = 33.33\text{ mg/day}

.

If subjects took

\approx 33.3\text{ mg}

per day for 21 days, or if the pharmacy packaged

700\text{ mg}

into 21 daily capsules, both Tab 2 (

700\text{ mg}

total) and Tab 3 (21 active days) are satisfied.

Key Concept

Discrepancy Resolution across Multi-Source Documents

Question 4Question →

A fintech company implemented an automated peer-to-peer appreciation platform allowing employees to award micro-bonuses and commendations to colleagues in other departments. Over the following six months, cross-departmental dispute escalations submitted to executive management decreased by 35%. The HR analytics committee concluded that the appreciation platform directly caused the reduction in escalations by fostering cross-team goodwill.

Which of the following findings, if true, represent valid logical evaluations of the HR analytics committee's causal conclusion? Select TWO options: one statement that strongly STRENGTHENS the causal claim and one statement that provides a valid ALTERNATIVE CAUSAL EXPLANATION that weakens the claim.

Select all that apply

Departments with the highest platform adoption rates experienced the largest percentage decreases in dispute escalations, whereas departments with negligible platform activity saw no change in escalation rates.

Simultaneously with the platform's launch, executive management instituted a strict policy that penalized department heads whose teams failed to resolve disputes internally before escalating them.

Employees who received fewer escalations from other departments subsequently awarded significantly higher numbers of micro-bonuses back to those teams.

The monetary value of all micro-bonuses distributed across the entire six-month period accounted for less than 0.5% of the company's total payroll expenditure.

Over the same six-month trial period, overall employee job satisfaction scores across the financial services sector increased by an average of 2%.

Show answer & explanation

Answer: Departments with the highest platform adoption rates experienced the largest percentage decreases in dispute escalations, whereas departments with negligible platform activity saw no change in escalation rates.; Simultaneously with the platform's launch, executive management instituted a strict policy that penalized department heads whose teams failed to resolve disputes internally before escalating them.

Answer

The two correct findings are: (1) the statement establishing that departments with higher adoption rates experienced larger decreases in escalations while inactive departments saw no change (Strengthener), and (2) the statement noting that executive management simultaneously instituted penalties for escalating disputes internally (Alternative Explanation / Weakener).

The causal argument claims that the peer appreciation platform caused a 35% drop in escalated disputes. The finding regarding adoption rates by department strengthens the argument by demonstrating a clear dose-response relationship between platform use and dispute reduction. The finding regarding executive penalties for escalated disputes weakend the argument by introducing a simultaneous, independent policy change that plausibly accounts for the decrease in escalations without requiring the platform's intervention.

Step-by-Step Solution

1

Identify the core causal argument in the prompt stem.

Premise: Peer recognition platform launched; dispute escalations dropped 35% six months later.
Conclusion: The platform directly caused the drop in escalations by fostering cross-team goodwill.

Evaluating a causal claim requires separating the observed event (correlation) from the inferred causal mechanism.

2

Evaluate candidate findings for a logical strengthener.

The statement showing a direct dose-response relationship (higher platform usage correlates with greater escalation drops across departments) eliminates key background noise and reinforces that the platform itself drives the effect.

Concomitant variation across controlled sub-groups provides strong empirical support for a causal relationship.

3

Evaluate candidate findings for a logical weakener / alternative explanation.

The statement detailing a simultaneous management policy penalty provides an alternate reason why escalations dropped (managers suppressed escalations to avoid penalties), undermining the claim that goodwill was the driver.

An unaddressed external factor introduced at the same time offers a competing explanation for the exact same outcome.

Key Concept

Causal Reasoning in Two-Part Analysis (Strengthening vs. Alternative Explanations)

Question 5Question →

A craft brewery produces two specialty beverages, Batch A and Batch B, using two primary ingredients: hops and malt. To produce 1 barrel of Batch A, the facility requires 4 kilograms of hops and 10 kilograms of malt. To produce 1 barrel of Batch B, the facility requires 6 kilograms of hops and 15 kilograms of malt. Let $a$ represent the number of barrels of Batch A produced and $b$ represent the number of barrels of Batch B produced in a week, where $a > 0$ and $b > 0$ . The total mass of hops used is $H$ kilograms, and the total mass of malt used is $M$ kilograms. Which of the following statements must be true for any valid production quantities of $a$ and $b$ ? Select all that apply.

Select all that apply

2M = 5H

M > H

3H - 2M = 0

The ratio of total malt used to total hops used,

\frac{M}{H}

, depends on the specific values of

a

and

b

.

If

H = 120

, then the number of barrels of Batch A produced (

a

) must be equal to 15.

Show answer & explanation

Answer: $2M = 5H$ ; $M > H$

Answer

The statements

2M = 5H

and

M > H

must both be true.

Expressing

H = 4a + 6b = 2(2a + 3b)

and

M = 10a + 15b = 5(2a + 3b)

reveals that

M = 2.5H

, or equivalently

2M = 5H

. Because

H

is strictly positive for positive values of

a

and

b

,

M = 2.5H

also guarantees that

M > H

.

Step-by-Step Solution

1

Set up algebraic equations for total hops (

H

) and total malt (

M

) in terms of

a

and

b

.

H = 4a + 6b

and

M = 10a + 15b

.

Each barrel of Batch A uses 4 kg hops and 10 kg malt, while each barrel of Batch B uses 6 kg hops and 15 kg malt.

2

Factor common numerical terms from both algebraic expressions.

H = 2(2a + 3b)

and

M = 5(2a + 3b)

.

Factoring isolates the common linear factor

(2a + 3b)

present in both quantities.

3

Calculate the ratio

\frac{M}{H}

and clear fractions to find the invariant linear equation.

\frac{M}{H} = \frac{5(2a + 3b)}{2(2a + 3b)} = \frac{5}{2} \implies 2M = 5H.

Since

a > 0

and

b > 0

,

(2a + 3b) \neq 0

, so the variable terms cancel completely.

4

Evaluate the inequality relationship between

M

and

H

.

M = 2.5H \implies M - H = 1.5H > 0 \implies M > H

.

Because

a, b > 0

,

H > 0

, making

2.5H

strictly greater than

H

.

Key Concept

Linear Equation Modeling and Proportional Invariants

Question 6Question →

A commercial bakery operates two automated production lines, Line A and Line B, to produce specialized pastry boxes. Line A requires $4$ minutes of mixing and $2$ minutes of baking per box. Line B requires $3$ minutes of mixing and $5$ minutes of baking per box. On a given shift, the bakery utilizes a total of $180$ minutes of mixing time and $160$ minutes of baking time, with both lines running continuously without downtime.

If $x$ represents the number of pastry boxes produced by Line A and $y$ represents the number of pastry boxes produced by Line B during the shift, which of the following statements regarding the production parameters must be true? Select all that apply.

Select all that apply

Line A produced

10

more pastry boxes than Line B during the shift.

The total number of pastry boxes produced by both lines combined is equal to

50

.

The linear equation modeling total mixing time across both lines is

4x + 2y = 180

.

Line B accounted for

60\%

of the total pastry boxes produced during the shift.

The system of linear equations modeling the resource constraints yields a unique solution of

x = 30

and

y = 20

.

Show answer & explanation

Answer: Line A produced $10$ more pastry boxes than Line B during the shift.; The total number of pastry boxes produced by both lines combined is equal to $50$ .; The system of linear equations modeling the resource constraints yields a unique solution of $x = 30$ and $y = 20$ .

Answer

The statements that must be true are: Line A produced 10 more pastry boxes than Line B during the shift; the total number of pastry boxes produced by both lines combined is equal to 50; and the system of linear equations modeling the resource constraints yields a unique solution of

x = 30

and

y = 20

.

Solving the system of equations representing mixing time (

4x + 3y = 180

) and baking time (

2x + 5y = 160

) gives

x = 30

boxes for Line A and

y = 20

boxes for Line B. Consequently, Line A produced

30 - 20 = 10

more boxes than Line B, the total production is

30 + 20 = 50

boxes, and the system indeed yields the unique solution

(30, 20)

.

Step-by-Step Solution

1

Set up the linear equations based on mixing time and baking time constraints.

Mixing constraint:

4x + 3y = 180

; Baking constraint:

2x + 5y = 160

.

Each unit of

x

requires

4

min mixing and

2

min baking; each unit of

y

requires

3

min mixing and

5

min baking.

2

Solve the system of equations using elimination.

Multiply the baking equation by

2

:

4x + 10y = 320

. Subtracting the mixing equation (

4x + 3y = 180

) yields

7y = 140 \implies y = 20

. Substituting

y = 20

into

4x + 3(20) = 180

gives

4x = 120 \implies x = 30

.

Eliminating

x

yields the exact value for

y

, which then gives

x

.

3

Evaluate each candidate statement against the solution

(x, y) = (30, 20)

.

Difference:

x - y = 30 - 20 = 10

(True). Total:

x + y = 30 + 20 = 50

(True). Mixing equation:

4x + 3y = 180

, not

4x + 2y = 180

(False). Line B share:

\frac{20}{50} = 40\%

, not

60\%

(False). Unique solution

(30, 20)

(True).

Checking each statement determines which options are valid.

Key Concept

Algebraic modeling of multi-variable resource constraint word problems using linear systems of equations

Estimated Time:2m 0s

Question 7Question →

An agricultural research team evaluated the impact of a new organic bio-fertilizer, BioCrop, on wheat yield across 60 regional farms. The study observed that farms utilizing BioCrop produced an average wheat yield 25% higher than farms using traditional synthetic fertilizers. Consequently, the lead researcher concluded that applying BioCrop directly causes an increase in wheat yield.

Which of the following statements, if true, would weaken the lead researcher's causal conclusion by presenting an alternative explanation or confounding variable? Select TWO correct statements.

Select all that apply

Farms that used BioCrop were also equipped with modern drip-irrigation systems that optimized water delivery during critical growth stages.

Farmers selected for the BioCrop group applied the product primarily to fields with higher baseline soil nutrient levels recorded prior to the study.

Higher wheat yields cause farmers to invest more revenue into purchasing premium fertilizers like BioCrop for future planting seasons.

Traditional synthetic fertilizers are significantly less expensive to purchase per acre than BioCrop.

BioCrop contains higher concentrations of nitrogen compounds than standard organic composts.

Show answer & explanation

Answer: Farms that used BioCrop were also equipped with modern drip-irrigation systems that optimized water delivery during critical growth stages.; Farmers selected for the BioCrop group applied the product primarily to fields with higher baseline soil nutrient levels recorded prior to the study.

Answer

The two statements that weaken the conclusion are the statement regarding modern drip-irrigation systems and the statement regarding higher baseline soil nutrient levels.

The correct selections both introduce plausible alternative explanations for the observed higher yield. If farms using BioCrop also used drip-irrigation systems or already possessed superior soil fertility, the yield increase cannot be definitively attributed to BioCrop itself.

Step-by-Step Solution

1

Identify the causal argument structure

Premise: Farms using BioCrop had 25% higher yields than farms using traditional fertilizer. Conclusion: BioCrop directly causes the yield increase.

To weaken a causal claim (

X \nrightarrow Y

), one must demonstrate alternative causes (

Z \nrightarrow Y

), reverse causality, or flawed experimental control.

2

Evaluate alternative explanations and confounding factors

The option noting drip-irrigation introduces an unobserved factor (

Z

) that improves yield. The option noting higher baseline soil nutrient levels indicates that the treatment group was inherently more fertile prior to BioCrop application.

Both factors provide plausible alternative reasons for the 25% higher yield that do not depend on BioCrop's effectiveness.

3

Eliminate invalid options

The options addressing purchasing cost, chemical comparison with compost, and future investment patterns fail to weaken the specific observational study's conclusion.

Irrational or irrelevant factors do not address the logical validity of the causal inference.

Key Concept

Evaluating Alternative Causes and Confounding Variables in Causal Arguments

Estimated Time:2m 0s

Question 8Question →

A telecommunications provider observed a 25% drop in subscriber churn in service areas where it concurrently upgraded its cell tower network to 5G and introduced a free device-protection plan for long-term contract holders. Company executives concluded that the speed improvements from the 5G upgrades were directly responsible for the reduction in subscriber churn. Which of the following statements, if true, provide valid logical evaluations that weaken the executives' causal conclusion? (Select all that apply.)

Select all that apply

In service areas where the 5G tower upgrades were completed but the free device-protection plan was not offered, subscriber churn rates remained unchanged.

Subscribers in control markets who received the free device-protection plan without any 5G network upgrades experienced a comparable 25% drop in churn.

The 25% drop in subscriber churn rate directly prompted company executives to initiate the 5G cell tower upgrades across all service areas.

Company executives evaluated only the single 25% churn metric without cross-referencing customer satisfaction survey metrics from other internal reporting sources.

While 5G tower upgrades and device-protection plans each independently increase customer retention, implementing both simultaneously exceeds departmental budget limits.

Show answer & explanation

Answer: In service areas where the 5G tower upgrades were completed but the free device-protection plan was not offered, subscriber churn rates remained unchanged.; Subscribers in control markets who received the free device-protection plan without any 5G network upgrades experienced a comparable 25% drop in churn.

Answer

The two statements that weaken the executives' conclusion are the one showing that 5G upgrades alone caused no change in churn in areas without device protection, and the one showing that device protection alone produced an identical 25% drop in churn without 5G upgrades.

To weaken a causal claim derived from two simultaneous interventions, a valid response must isolate the variables. The statement establishing that churn remained unchanged when 5G upgrades were implemented without device protection proves that 5G speed improvements alone were not sufficient to reduce churn. Similarly, the statement demonstrating an identical 25% churn drop in markets receiving only device protection provides a strong alternative explanation for the outcome. Together, these two statements logically dismantle the executives' conclusion that 5G upgrades were the cause.

Step-by-Step Solution

1

Identify the causal argument and premise structure in the stem.

Premise: Two simultaneous changes occurred (5G upgrades and free device protection) alongside a 25% drop in churn. Conclusion: 5G upgrades directly caused the drop.

Evaluating a causal claim requires identifying whether conflated variables or alternative explanations exist.

2

Evaluate statements that test for confounding variables or variable isolation.

The statement showing no churn change in 5G-only areas isolates 5G and shows it is insufficient on its own. The statement showing a 25% churn drop in protection-only areas presents a viable alternative cause.

Showing that the supposed cause fails to produce the effect when isolated, or that the effect occurs without the supposed cause, invalidates a claim of exclusive causality.

3

Filter out irrelevant statements or logical fallacies.

Statements reversing causal direction, mentioning single-source tunnel vision, or discussing budget constraints do not logically weaken the causal relationship.

Only empirical or logical counter-evidence regarding the stated variables can effectively weaken a causal conclusion.

Key Concept

Evaluating Causal Arguments and Confounding Variables in Two-Part Scenarios

Question 9Question →

Prior to 2022, any corporate entity acquiring more than a 15 percent stake in a domestic renewable energy producer in Nation X was subject to mandatory federal antitrust review unless the acquiring entity was a state-backed entity. In 2022, Nation X amended its regulations such that all corporate acquisitions of domestic energy producers, regardless of the acquiring entity's state-backed status or stake size, require mandatory federal antitrust review if the target firm holds exclusive regional distribution rights. Last year, Solis Corp, a private non-state-backed corporation, acquired a 12 percent stake in Terra Energy, a domestic renewable energy producer in Nation X, without undergoing a federal antitrust review.

Which of the following statements must be true based on the information provided above? Select all that apply.

Select all that apply

Terra Energy does not hold exclusive regional distribution rights in Nation X.

Solis Corp's acquisition of the stake in Terra Energy occurred after the 2022 regulatory amendment went into effect.

If Terra Energy holds exclusive regional distribution rights in Nation X, Solis Corp's acquisition must have occurred prior to the 2022 regulatory amendment.

Prior to 2022, state-backed entities acquiring more than a 15 percent stake in a domestic renewable energy producer in Nation X were exempt from mandatory federal antitrust review.

Prior to 2022, non-state-backed corporations acquiring a 12 percent stake in a domestic renewable energy producer in Nation X were required to undergo federal antitrust review.

Show answer & explanation

Answer: If Terra Energy holds exclusive regional distribution rights in Nation X, Solis Corp's acquisition must have occurred prior to the 2022 regulatory amendment.; Prior to 2022, state-backed entities acquiring more than a 15 percent stake in a domestic renewable energy producer in Nation X were exempt from mandatory federal antitrust review.

Answer

The correct statements are: 1) 'If Terra Energy holds exclusive regional distribution rights in Nation X, Solis Corp's acquisition must have occurred prior to the 2022 regulatory amendment' and 2) 'Prior to 2022, state-backed entities acquiring more than a 15 percent stake in a domestic renewable energy producer in Nation X were exempt from mandatory federal antitrust review.'

The conclusion regarding state-backed entities being exempt prior to 2022 follows directly from the exception clause ('unless the acquiring entity was a state-backed entity'). The conditional conclusion regarding exclusive regional distribution rights follows by contrapositive reasoning: post-2022 rules mandate reviews for any acquisition of a firm with exclusive distribution rights regardless of stake size; since Solis Corp's acquisition of a 12 percent stake was unreviewed, if Terra Energy possesses exclusive distribution rights, the transaction could not have occurred under the post-2022 rules and must have taken place prior to the amendment.

Step-by-Step Solution

1

Analyze the pre-2022 regulatory framework premises.

Before 2022, mandatory antitrust review applied ONLY IF (stake > 15%) AND (acquiring entity is NOT state-backed). State-backed entities were explicitly exempt.

Establishes the boundary conditions for acquisitions occurring prior to 2022.

2

Analyze the post-2022 regulatory framework premises.

After the 2022 amendment, mandatory review applies to ALL corporate acquisitions IF target holds exclusive regional distribution rights (regardless of state-backed status or stake percentage).

Establishes the strict conditional trigger for post-2022 transactions.

3

Apply formal logic (contrapositive) to the unreviewed acquisition of Terra Energy by Solis Corp.

Solis Corp (private) acquired 12% of Terra Energy (domestic renewable producer) with NO review. If Terra Energy has exclusive distribution rights, the transaction CANNOT be post-2022 (since post-2022 requires review for any stake if exclusive rights exist). Thus, if exclusive rights exist, the transaction MUST be pre-2022.

Synthesizes the specific factual scenario with the conditional rules to deduce valid conclusions.

Key Concept

Drawing Valid Conditional Inferences and Contrapositive Deduction

Question 10Question →

Two fulfillment centers, Center X and Center Y, process customer orders at constant individual rates of $x$ orders per hour and $y$ orders per hour, respectively, where $x > y > 0$ . Working together simultaneously, Center X and Center Y complete a total batch of $N$ orders in $T$ hours. In a separate shift, Center X works alone for $h$ hours (where $0 < h < T$ ) to process a portion of the $N$ orders, after which Center Y works alone for $k$ hours to finish all remaining orders in the batch.

Which of the following algebraic statements MUST be true? Select all that apply.

Select all that apply

The ratio of the processing rates satisfies

\frac{x}{y} = \frac{k - T}{T - h}

.

The processing rate of Center Y is expressed as

y = \frac{N(T - h)}{T(k - h)}

.

The total sequential processing time satisfies

h + k = 2T

.

The ratio of the processing rates simplifies directly to

\frac{x}{y} = \frac{k}{h}

.

The processing rate of Center X is expressed as

x = \frac{N(k - T)}{T(k + h)}

.

Show answer & explanation

Answer: The ratio of the processing rates satisfies $\frac{x}{y} = \frac{k - T}{T - h}$ .; The processing rate of Center Y is expressed as $y = \frac{N(T - h)}{T(k - h)}$ .

Answer

The valid algebraic statements are the rate ratio

\frac{x}{y} = \frac{k - T}{T - h}

and the expression for Center Y's rate

y = \frac{N(T - h)}{T(k - h)}

.

Equating the total work from combined operation

N = (x + y)T

and sequential operation

N = xh + yk

yields

x(T - h) = y(k - T)

, which proves that the ratio

\frac{x}{y} = \frac{k - T}{T - h}

must be true. Furthermore, substituting

x = \frac{N}{T} - y

into

xh + yk = N

gives

\frac{Nh}{T} + y(k - h) = N

, which simplifies to

y = \frac{N(T - h)}{T(k - h)}

. Therefore, both of these algebraic formulations are correct.

Step-by-Step Solution

1

Formulate the total work equations for both operational scenarios.

From simultaneous operation:

N = (x + y)T = xT + yT

. From sequential operation:

N = xh + yk

.

Total work completed in both scenarios equals the batch size

N

.

2

Equate the two expressions for

N

to derive the relationship between rates and times.

xT + yT = xh + yk \implies xT - xh = yk - yT \implies x(T - h) = y(k - T)

.

Grouping like rate terms enables solving for the rate ratio

\frac{x}{y}

.

3

Divide by

y(T - h)

to find the rate ratio

\frac{x}{y}

.

\frac{x}{y} = \frac{k - T}{T - h}.

Since

0 < h < T

,

T - h > 0

, so the division is valid and confirms the rate ratio relation.

4

Express

x

in terms of

y, N, T

and substitute into the sequential work equation.

x = \frac{N}{T} - y \implies \left(\frac{N}{T} - y\right)h + yk = N \implies \frac{Nh}{T} + y(k - h) = N

.

Eliminating

x

isolates

y

in terms of given parameters

N, T, h, k

.

5

Solve for

y

.

y(k - h) = N - \frac{Nh}{T} = N\left(1 - \frac{h}{T}\right) = \frac{N(T - h)}{T} \implies y = \frac{N(T - h)}{T(k - h)}

.

This establishes the exact formula for

y

.

Key Concept

Multi-variable system modeling of rate, time, and work constraints.

Estimated Time:2m 30s

Question 11Question →

A specialty coffee shop sells two types of coffee beans: Type A for $\$8$ per pound and Type B for $\$12$ per pound. A customer buys a total of $x$ pounds of coffee, consisting of $a$ pounds of Type A and $b$ pounds of Type B, for a total cost of $C$ dollars. Which of the following equations correctly model the relationship between these quantities? Select all that apply.

Select all that apply

a = x - b

C = 12x - 4a

b = \frac{C - 8a}{12}

C = 20x

a = \frac{C - 12}{8x}

Show answer & explanation

Answer: $a = x - b$ ; $C = 12x - 4a$ ; $b = \frac{C - 8a}{12}$

Answer

The correct formulations are

a = x - b

,

C = 12x - 4a

, and

b = \frac{C - 8a}{12}

.

The system is defined by two fundamental linear relationships: weight total

a + b = x

and cost total

8a + 12b = C

. Isolating

a

from the weight total gives

a = x - b

. Substituting

b = x - a

into the cost equation yields

C = 8a + 12(x - a) = 12x - 4a

. Isolating

b

from the cost equation gives

12b = C - 8a \implies b = \frac{C - 8a}{12}

. All three expressions are mathematically equivalent and correct.

Step-by-Step Solution

1

Set up the basic linear system from the word problem.

Total weight equation:

a + b = x

; Total cost equation:

8a + 12b = C

.

Word problems with total quantity and total monetary value translate into two distinct linear equations.

2

Rearrange the total weight equation to express

a

in terms of

x

and

b

.

a = x - b

.

Subtracting

b

from both sides isolates

a

.

3

Substitute

b = x - a

into the total cost equation.

C = 8a + 12(x - a) = 8a + 12x - 12a = 12x - 4a

.

Expressing cost in terms of a single variable

a

and total weight

x

simplifies multi-variable models.

4

Isolate

b

in the total cost equation.

12b = C - 8a \implies b = \frac{C - 8a}{12}

.

Subtracting the cost contribution of Type A (

8a

) and dividing by the unit cost of Type B (

12

) isolates

b

.

Key Concept

Linear Equation Modeling in Word Problems

Question 12Question →

A commercial bakery operates two automated production lines, Line A and Line B, to fulfill a production order for $B$ boxes of goods:

- Line A operates at a constant rate of $r$ boxes per hour ( $r > 0$ ) for $t$ hours.
- Line B operates at a constant rate that is $25\%$ higher than Line A's rate and works for $2$ hours longer than Line A.
- Line B produces twice as many boxes as Line A during their respective operational periods.
- The total contract volume $B$ is the sum of the boxes produced by Line A and Line B.

Which of the following statements MUST be true regarding this algebraic model? (Select ALL that apply.)

Select all that apply

Line A operates for

t = \frac{10}{3}

hours (3 hours and 20 minutes).

The total contract volume

B

is equal to

10r

boxes.

The overall average production rate over the combined total operating time of both lines is

1.125r

boxes per hour.

If both lines were to work together simultaneously to complete the total order of

B

boxes, the required time would equal the sum of their individual operating times (

\frac{26}{3}

hours).

Dividing both sides of the equation

1.25r(t + 2) = 2rt

by

r

loses

r = 0

as a physically valid non-zero rate solution.

Show answer & explanation

Answer: Line A operates for $t = \frac{10}{3}$ hours (3 hours and 20 minutes).; The total contract volume $B$ is equal to $10r$ boxes.

Answer

The correct statements are the one establishing Line A's operating time as 10/3 hours and the one establishing the total volume as 10r boxes.

The model yields

t = \frac{10}{3}

hours by equating

1.25r(t + 2) = 2rt

and dividing by

r

. Substituting

t = \frac{10}{3}

into the total output expression

B = rt + 1.25r(t + 2)

gives

B = \frac{10}{3}r + \frac{20}{3}r = 10r

. Thus, both the operating time statement for Line A and the total contract volume statement are mathematically true.

Step-by-Step Solution

1

Formulate algebraic expressions for the output of each production line.

Line A output:

Q_A = r \cdot t

. Line B rate is

1.25r

and operating time is

t + 2

, so Line B output:

Q_B = 1.25r(t + 2)

.

Word problem translation requires modeling quantities produced as rate multiplied by time.

2

Set up the relational equation based on the condition that Line B produces twice as much as Line A.

1.25r(t + 2) = 2(r \cdot t) \implies 1.25r(t + 2) = 2rt

.

Translates the given relationship

Q_B = 2 Q_A

into a single variable equation for

t

.

3

Solve for

t

by dividing out non-zero

r

.

1.25(t + 2) = 2t \implies 1.25t + 2.5 = 2t \implies 0.75t = 2.5 \implies t = \frac{2.5}{0.75} = \frac{10}{3}

hours.

Since rate

r > 0

, dividing by

r

isolates

t

.

4

Calculate individual outputs and total contract volume

B

.

Q_A = r \cdot \frac{10}{3} = \frac{10}{3}r

.

Q_B = 2 Q_A = \frac{20}{3}r

. Total volume

B = Q_A + Q_B = \frac{10}{3}r + \frac{20}{3}r = 10r

.

Summing the output of both lines gives the exact total contract volume in terms of rate

r

.

Key Concept

Algebraic Modeling of Multi-Rate Work Systems

Question 13Question →

A logistics company dispatches a fleet of delivery vehicles consisting entirely of Van A models and Van B models for a day's operations. Each Van A carries $40$ packages and consumes $5$ gallons of fuel per route. Each Van B carries $60$ packages and consumes $8$ gallons of fuel per route. On a given day, $18$ vans were dispatched in total, delivering a combined total of $920$ packages. Which of the following statements must be true? Select all that apply.

Select all that apply

The total number of Van B models dispatched was

10

.

The total fuel consumed by all Van A models combined was

50

gallons.

Van B models accounted for more than

60\%

of the total fuel consumed by the fleet.

The ratio of the number of Van A models to Van B models dispatched was

5

to

4

.

The total fuel consumed by the entire fleet was

120

gallons.

Show answer & explanation

Answer: The total number of Van B models dispatched was $10$ .; Van B models accounted for more than $60\%$ of the total fuel consumed by the fleet.; The total fuel consumed by the entire fleet was $120$ gallons.

Answer

The true statements are those stating that 10 Van B models were dispatched, that Van B models accounted for more than 60% of total fleet fuel consumed, and that the total fuel consumed by the entire fleet was 120 gallons.

Solving the linear system

A + B = 18

and

40A + 60B = 920

yields

A = 8

Van A models and

B = 10

Van B models. Evaluating the claims: 10 Van B models were dispatched (true); Van B fuel (

80

gallons) represents

80/120 = 66.67\%

of total fuel, which is greater than

60\%

(true); and total fleet fuel consumption is

40 + 80 = 120

gallons (true).

Step-by-Step Solution

1

Define variables and construct the system of linear equations.

Let

A

be the number of Van A models and

B

be the number of Van B models. Total vans equation:

A + B = 18

. Total packages equation:

40A + 60B = 920

.

Word problem modeling requires translating fleet count and package delivery totals into algebraic linear equations.

2

Solve the system of equations for

A

and

B

.

Divide the package equation by

20

:

2A + 3B = 46

. Substitute

A = 18 - B

:

2(18 - B) + 3B = 46 \implies 36 + B = 46 \implies B = 10

. Then

A = 18 - 10 = 8

.

Determining exact vehicle quantities is required to evaluate all downstream statements.

3

Calculate total fuel consumption for each van model and the entire fleet.

Van A fuel:

8 \text{ vans} \times 5 \text{ gal/van} = 40 \text{ gallons}

. Van B fuel:

10 \text{ vans} \times 8 \text{ gal/van} = 80 \text{ gallons}

. Total fleet fuel:

40 + 80 = 120 \text{ gallons}

.

Provides exact quantities to test statement validity.

4

Evaluate each statement against the calculated values.

1) Van B count is 10 (True). 2) Van A fuel is 40 gallons, not 50 (False). 3) Van B fuel percentage is

80/120 = 66.67\% > 60\%

(True). 4) Van A to Van B ratio is

8:10 = 4:5

, not

5:4

(False). 5) Total fuel is 120 gallons (True).

Identifies all correct options for multiple selection.

Key Concept

Linear Equation System Modeling in Applied Contexts

Question 14Question →

A marine biology survey cataloged deep-sea coral reefs off the coast of Peninsula Y. The survey established that every reef located below a depth of 500 meters contains bioluminescent coral species. Furthermore, all coral reefs containing bioluminescent species in this region also host distinct populations of deep-sea shrimp. However, during the survey, several reefs located above a depth of 500 meters were found to host these same deep-sea shrimp populations.

Based on the survey results described above, which of the following statements must be true? (Select all that apply.)

Select all that apply

Every coral reef off Peninsula Y located below a depth of 500 meters hosts deep-sea shrimp populations.

Any coral reef off Peninsula Y that lacks deep-sea shrimp populations is located at a depth of 500 meters or less.

Any coral reef off Peninsula Y that hosts deep-sea shrimp populations must also contain bioluminescent coral species.

Reefs located above a depth of 500 meters contain a larger total population of deep-sea shrimp than reefs located below 500 meters.

Water temperature variations between depth zones explain why deep-sea shrimp inhabit certain reefs located above 500 meters.

Show answer & explanation

Answer: Every coral reef off Peninsula Y located below a depth of 500 meters hosts deep-sea shrimp populations.; Any coral reef off Peninsula Y that lacks deep-sea shrimp populations is located at a depth of 500 meters or less.

Answer

The statements establishing that every reef located below a depth of 500 meters hosts deep-sea shrimp populations, and that any reef lacking deep-sea shrimp populations must be located at a depth of 500 meters or less, are both valid deductions that must be true.

The passage establishes two linked conditional rules: any reef deeper than 500 meters contains bioluminescent coral, and any reef with bioluminescent coral hosts deep-sea shrimp. Combining these yields the direct deduction that every reef below 500 meters hosts deep-sea shrimp. Furthermore, taking the contrapositive of this combined rule shows that any reef lacking deep-sea shrimp cannot be below 500 meters, meaning it must be located at a depth of 500 meters or less. Both of these statements are logically necessary conclusions.

Step-by-Step Solution

1

Identify and map explicit conditional premises

Premise 1: Reef Depth > 500m → Bioluminescent Coral. Premise 2: Bioluminescent Coral → Deep-Sea Shrimp. Premise 3: Some Reefs Depth ≤ 500m → Deep-Sea Shrimp.

Mapping the statements into formal conditional logic clarifies valid inferential paths.

2

Synthesize the conditional premises into a transitive chain

Transitive chain: Reef Depth > 500m → Bioluminescent Coral → Deep-Sea Shrimp. Thus, Reef Depth > 500m → Deep-Sea Shrimp.

Combining the first two premises establishes that all reefs deeper than 500 meters necessarily host deep-sea shrimp.

3

Formulate the logically equivalent contrapositive of the transitive chain

Contrapositive: No Deep-Sea Shrimp → Reef Depth ≤ 500m.

If a conditional statement 'If X then Y' is true, its contrapositive 'If not Y then not X' is guaranteed to be true.

Key Concept

Conditional Logic & Valid Deductive Inferences

Question 15Question →

Between 2018 and 2024, all commercial solar farms in Country X that integrated lithium-iron-phosphate (LFP) battery storage systems achieved continuous grid synchronization during peak demand hours. Conversely, no solar farm relying exclusively on nickel-manganese-cobalt (NMC) storage maintained uninterrupted grid connectivity throughout those same peak periods. During this six-year period, any solar farm in Country X that failed to maintain continuous grid synchronization during peak demand hours was assessed a regulatory surcharge. Furthermore, every commercial solar farm built in Country X after 2020 integrated either LFP or NMC storage systems, but never both.

Based on the information provided, which of the following statements must be logically true? Select all that apply.

Select all that apply

Every commercial solar farm in Country X relying exclusively on NMC battery storage between 2018 and 2024 was assessed a regulatory surcharge.

Commercial solar farms using NMC battery storage generated less total electricity than those using LFP battery storage.

Any commercial solar farm built in Country X in 2022 that integrated LFP storage achieved continuous grid synchronization during peak demand hours.

Integrating LFP battery storage was the sole method available for solar farms in Country X to avoid regulatory surcharges.

Any solar farm in Country X assessed a regulatory surcharge between 2018 and 2024 must have utilized an NMC battery storage system.

Show answer & explanation

Answer: Every commercial solar farm in Country X relying exclusively on NMC battery storage between 2018 and 2024 was assessed a regulatory surcharge.; Any commercial solar farm built in Country X in 2022 that integrated LFP storage achieved continuous grid synchronization during peak demand hours.

Answer

The correct statements are that every commercial solar farm relying exclusively on NMC battery storage between 2018 and 2024 was assessed a regulatory surcharge, and that any commercial solar farm built in 2022 that integrated LFP storage achieved continuous grid synchronization during peak demand hours.

The statement regarding exclusive NMC storage farms being assessed a regulatory surcharge directly synthesizes two explicit passage facts: exclusive NMC farms failed to maintain continuous connectivity during peak hours, and failing continuous connectivity resulted in a regulatory surcharge. The statement regarding 2022 LFP-integrated farms directly applies the universal premise about LFP farms operating between 2018 and 2024.

Step-by-Step Solution

1

Analyze the premise regarding NMC storage and regulatory surcharges.

No exclusive NMC farm maintained uninterrupted grid connectivity, and failing uninterrupted connectivity triggered a surcharge. Synthesizing these two premises proves that all exclusive NMC farms incurred surcharges.

Direct deduction from linked conditional premises.

2

Analyze the premise regarding LFP storage for farms built in 2022.

The year 2022 is within 2018–2024. All LFP farms in this period achieved continuous grid synchronization during peak demand hours.

Direct application of a general premise to a specific year within the defined timeframe.

3

Evaluate the incorrect choices for logical leaps or scope errors.

Statements introducing unmentioned metrics (total electricity generation), necessary/sufficient confusions (sole method), or formal conditional reversals are invalid inferences.

Valid inferences on the GMAT must be strictly supported without external assumptions or formal fallacies.

Key Concept

Drawing Valid Inferences via Premise Synthesis

Question 16Question →

Tab 1: Engineering Telemetry Summary
During Quarter 3, the facility's grid-scale battery energy storage system logged a roundtrip charge-discharge efficiency of $94\%$ . Telemetry sensors recorded energy input and output strictly across the battery cell terminals during active storage cycles.

Tab 2: Financial Utility Billing Report
Energy billing records for Quarter 3 indicate that total kilowatt-hours ( $\text{kWh}$ ) purchased from the regional utility grid exceeded baseline operating projections by $25\%$ . Financial auditors concluded that net facility energy losses were far higher than the $6\%$ loss implied by battery telemetry.

Tab 3: Operations Maintenance Log
All auxiliary HVAC cooling units and thermal control systems operate on dedicated grid sub-circuits that bypass battery cell meters. Operational policy mandates continuous thermal conditioning whenever ambient site temperatures exceed $30^\circ\text{C}$ . During Quarter 3, site temperatures exceeded $30^\circ\text{C}$ for $65\%$ of operational hours.

Based on the information provided across the three tabs, which of the following statements, if true, help resolve the apparent discrepancy between the $94\%$ battery efficiency reported in Tab 1 and the $25\%$ excess energy consumption reported in Tab 2? Select all that apply.

Select all that apply

The battery telemetry in Tab 1 records power passing directly through cell terminals during active cycles, omitting energy consumed by auxiliary cooling units running on separate grid sub-circuits.

Prolonged ambient temperatures above

30^\circ\text{C}

in Quarter 3 triggered continuous operation of auxiliary cooling units, drawing substantial unmetered grid electricity.

Regional electricity supply tariffs increased by

25\%

per kilowatt-hour during peak demand hours throughout Quarter 3.

The internal chemical energy storage capacity of the battery cells degraded severely during Quarter 3 due to high operating temperatures.

Battery charging cycles took place predominantly during off-peak night hours when overall regional grid demand was low.

Show answer & explanation

Answer: The battery telemetry in Tab 1 records power passing directly through cell terminals during active cycles, omitting energy consumed by auxiliary cooling units running on separate grid sub-circuits.; Prolonged ambient temperatures above $30^\circ\text{C}$ in Quarter 3 triggered continuous operation of auxiliary cooling units, drawing substantial unmetered grid electricity.

Answer

The statements resolving the discrepancy are: (1) battery telemetry measuring only terminal power while omitting auxiliary cooling power on separate sub-circuits, and (2) high ambient temperatures causing continuous operation of auxiliary cooling units that drew unmetered grid electricity.

The correct options work together to resolve the conflict by clarifying measurement scope. The statement noting that telemetry tracks only cell terminals explains that auxiliary HVAC power was excluded from Tab 1's efficiency calculation. The statement regarding high ambient temperatures triggering continuous auxiliary cooling provides the empirical cause for why Tab 2's grid purchases were 25% above projections.

Step-by-Step Solution

1

Identify the conflict between sources

Tab 1 reports high battery roundtrip efficiency (94%, or 6% loss), while Tab 2 shows facility grid energy draw exceeding projections by 25% (implying large net energy losses).

Resolving a discrepancy requires finding factors that make both reported figures factually true within their respective measurement boundaries.

2

Cross-reference operational boundaries and exceptions across tabs

Tab 1 specifies that telemetry measures energy strictly across battery cell terminals. Tab 3 notes that auxiliary HVAC systems run on dedicated grid sub-circuits bypassing cell meters and operate continuously when ambient temperature exceeds 30°C (which occurred 65% of the time in Q3).

Connecting the unmetered auxiliary HVAC draw to high Q3 temperatures explains why utility grid energy purchases (Tab 2) were 25% higher even though the battery cells themselves operated at 94% efficiency (Tab 1).

3

Evaluate candidate statements for valid reconciliation

The statement highlighting separate sub-circuit metering boundaries and the statement identifying high temperature HVAC activation together explain the missing energy draw without contradicting Tab 1.

Both valid hypotheses work together to explain why total grid draw exceeded battery-only telemetry projections.

Key Concept

Discrepancy and Conflict Resolution Between Sources

Question 17Question →

Tab 1: Supply Chain Audit Memorandum (Q1 2026)
The quarterly audit report concludes that Supplier Alpha achieved a $0\%$ defect rate for all $10{}000$ units of Component X received during Q1 2026. The audit's conclusion relies strictly on receiving-stage inspection records confirming that $100\%$ of delivered batches were logged as defect-free upon arrival.

Tab 2: Quality Control Standard Operating Procedure
Standard receiving protocol requires all precision electronic parts to undergo Quality Check 1 (QC-1) for visual/physical integrity and Quality Check 2 (QC-2) for thermal stress resistance before entry into inventory. However, components procured under "Express Procurement" status bypass QC-2 at receiving and are immediately marked as "Cleared at Entry." For Express Procurement items, thermal stress defects are recorded later during final post-assembly stress testing.

Tab 3: Plant Operations Defect Log (Q1 2026)
All $10{}000$ units of Component X supplied by Supplier Alpha in Q1 2026 were procured under Express Procurement contracts. During final post-assembly stress testing of finished products, $400$ units of Component X suffered thermal breakdown and failed inspection.

Based on the information provided across the three tabs, which of the following statements help reconcile the apparent contradiction between the receiving audit's $0\%$ defect rate in Tab 1 and the $400$ thermal failures reported in Tab 3? Select all that apply.

Select all that apply

The

0\%

defect rate in the receiving audit reflects only initial QC-1 clearance, which Express Procurement shipments pass without receiving-stage thermal stress testing.

Thermal stress defects in Component X were captured only during final assembly testing because Express Procurement policy defers thermal testing for such shipments to the post-assembly stage.

Supplier Alpha's total shipment volume of

10{}000

units was too small to meet the threshold required for statistical sampling during receiving inspection.

Component X was reclassified as a non-precision part under the Quality Control Policy, completely exempting its batches from post-assembly defect logging.

The

400

failed units in Tab 3 represent a

4\%

failure rate calculated against total plant output across all suppliers rather than Supplier Alpha's specific delivery.

Show answer & explanation

Answer: The $0\%$ defect rate in the receiving audit reflects only initial QC-1 clearance, which Express Procurement shipments pass without receiving-stage thermal stress testing.; Thermal stress defects in Component X were captured only during final assembly testing because Express Procurement policy defers thermal testing for such shipments to the post-assembly stage.

Answer

The statements explaining that the receiving audit only reflects initial QC-1 clearance without receiving-stage thermal testing, and that thermal stress defects were logged post-assembly due to Express Procurement policy deferral, correctly reconcile the discrepancy.

The apparent contradiction between the

0\%

defect rate at receiving (Tab 1) and the

400

thermal breakdowns during assembly (Tab 3) is resolved by Tab 2. Because Supplier Alpha's shipment was made under Express Procurement status, the parts bypassed receiving-stage thermal testing (QC-2) and were logged as 'Cleared' based solely on QC-1. Thermal stress failures were only revealed when testing occurred at final assembly. Thus, both the statement noting that receiving audit logs reflect only QC-1 clearance and the statement noting that thermal defects were deferred to post-assembly testing under Express Procurement policy correctly explain the discrepancy.

Step-by-Step Solution

1

Identify the core discrepancy between Tab 1 and Tab 3.

Tab 1 reports a

0\%

defect rate at receiving for

10{}000

units of Component X. Tab 3 reports

400

thermal failures (

4\%

) of Component X during final assembly testing.

Resolving a discrepancy requires contrasting the scope and metrics of the conflicting reports.

2

Analyze Tab 2 for policy rules that bridge receiving data and assembly data.

Standard receiving requires QC-1 (physical) and QC-2 (thermal). Express Procurement items skip receiving QC-2 and are marked 'Cleared at Entry', while thermal defects are logged later in final assembly testing.

Understanding testing protocol exceptions explains why receiving logs miss specific failure modes.

3

Evaluate the statements to select valid reconciliation mechanisms.

The statement highlighting that receiving-stage records included only QC-1 clearance for Express Procurement items, and the statement highlighting that thermal defects defer to post-assembly logs under Express Procurement policy, both correctly reconcile the conflicting reports.

Both selected statements accurately synthesize the procedural exception in Tab 2 with the observational scope differences between Tab 1 and Tab 3.

Key Concept

Discrepancy Resolution via Scope and Procedural Exceptions Across Multiple Sources

Question 18Question →

The table below presents operational metrics for six regional renewable energy facilities:

Facility	Energy Source	Capacity (MW)	Operational Efficiency (%)	Storage Available
Alpha	Solar	45	88%	Yes
Beta	Wind	60	75%	No
Gamma	Hydro	50	92%	Yes
Delta	Solar	30	82%	No
Epsilon	Wind	55	84%	Yes
Zeta	Hydro	70	78%	Yes

A plant manager needs to select facilities that satisfy at least one of the following criteria:
- Criterion 1: Energy Source is Wind AND Capacity is greater than 50 MW.
- Criterion 2: Storage Available is "Yes" AND Operational Efficiency is at least 85%.

Which of the following facilities meet the manager's criteria? Select all that apply.

Select all that apply

Alpha

Beta

Delta

Epsilon

Zeta

Show answer & explanation

Answer: Alpha; Beta; Epsilon

Answer

The facilities that meet the criteria are Alpha, Beta, and Epsilon.

Alpha qualifies under Criterion 2 because it has storage available and an operational efficiency of 88% (>= 85%). Beta qualifies under Criterion 1 because its energy source is Wind and its capacity is 60 MW (> 50 MW). Epsilon qualifies under Criterion 1 because its energy source is Wind and its capacity is 55 MW (> 50 MW).

Step-by-Step Solution

1

Evaluate each facility against Criterion 1 (Energy Source = Wind AND Capacity > 50 MW).

Beta (Wind, 60 MW) and Epsilon (Wind, 55 MW) satisfy Criterion 1.

Both facilities use Wind energy and have capacities strictly above 50 MW.

2

Evaluate remaining facilities against Criterion 2 (Storage Available = Yes AND Operational Efficiency >= 85%).

Alpha (Storage = Yes, 88% Efficiency) satisfies Criterion 2. Gamma also satisfies Criterion 2, while Delta and Zeta fail both criteria.

Alpha meets both required conditions of Criterion 2.

3

Combine the results for the options provided (Alpha, Beta, Delta, Epsilon, Zeta).

Alpha, Beta, and Epsilon satisfy at least one criterion.

Selection requires satisfying Criterion 1 OR Criterion 2.

Key Concept

Evaluating compound logical conditions (AND/OR conjunctions) across multiple table attributes.

Estimated Time:1m 15s

Question 19Question →

### Tab 1: Corporate Remote Work Policy
Employees in the Operations division are eligible for up to two remote workdays per week, provided their quarterly performance rating is 4.0 or higher. However, any employee whose primary duties involve handling confidential financial records is strictly prohibited from working remotely, regardless of department or performance rating.

### Tab 2: IT Security Memorandum
Employees assigned to the Operations Billing unit routinely process wire transfers and customer payment details, classifying their duties as handling confidential financial records. Employees assigned to the Operations Logistics unit focus solely on inventory dispatch and do not handle confidential financial records.

Based on the Corporate Remote Work Policy and the IT Security Memorandum, which of the following statements are supported? Select all that apply.

Select all that apply

An employee in the Operations Logistics unit with a performance rating of 4.5 is eligible for up to two remote workdays per week.

An employee in the Operations Billing unit with a performance rating of 5.0 is prohibited from working remotely.

All employees in the Operations division with a performance rating of 4.0 or higher are eligible for remote work.

Employees in the Operations Logistics unit are eligible for remote work regardless of their quarterly performance rating.

Operations Billing employees may work remotely if their quarterly performance rating exceeds 4.5.

Show answer & explanation

Answer: An employee in the Operations Logistics unit with a performance rating of 4.5 is eligible for up to two remote workdays per week.; An employee in the Operations Billing unit with a performance rating of 5.0 is prohibited from working remotely.

Answer

The supported statements are: 1) An employee in the Operations Logistics unit with a performance rating of 4.5 is eligible for up to two remote workdays per week; and 2) An employee in the Operations Billing unit with a performance rating of 5.0 is prohibited from working remotely.

Synthesizing Tab 1 and Tab 2 shows that remote work eligibility requires being in Operations, having a performance rating of 4.0 or higher, and NOT handling confidential financial records. For an Operations Logistics employee with a 4.5 rating, all conditions are satisfied because Tab 2 states Logistics does not handle financial records. For an Operations Billing employee, Tab 2 classifies their duties as handling confidential financial records, triggering the strict prohibition in Tab 1 regardless of their 5.0 rating.

Step-by-Step Solution

1

Analyze general eligibility and exception criteria from Tab 1.

General rule: Operations division + rating

\geq 4.0 \rightarrow

up to 2 remote days/week. Absolute exception: Handling confidential financial records

\rightarrow

remote work prohibited.

Establishing the policy baseline and override rules.

2

Cross-reference unit roles from Tab 2 with Tab 1 rules.

Operations Billing handles confidential financial records (prohibited from remote work). Operations Logistics does NOT handle confidential financial records (eligible if rating

\geq 4.0

).

Synthesizing text across documents to evaluate specific employee profiles.

3

Evaluate each option against the synthesized rules.

Logistics employee with 4.5 rating meets both conditions. Billing employee with 5.0 rating is blocked by the confidentiality exception.

Determining which statements are fully supported by combining both sources.

Key Concept

Cross-tab conditional rule evaluation and policy exception synthesis.

Question 20Question →

The table below presents financial and operational metrics for seven portfolio companies evaluated by a venture capital firm:

Company	Sector	Revenue Growth (%)	Profitable	Employee Retention Rate (%)
Alpha Corp	Tech	35	Yes	88
Beta Health	Biotech	45	No	92
Gamma Power	CleanEnergy	28	Yes	85
Delta Pay	FinTech	50	No	78
Epsilon Bio	Biotech	40	Yes	94
Zeta Systems	Tech	60	No	82
Eta Dynamics	CleanEnergy	52	Yes	90

An investment committee will shortlist companies that satisfy at least two of the following three conditions:
1. Revenue Growth greater than $40\%$
2. Profitable (Status = Yes)
3. Employee Retention Rate of at least $90\%$

Which of the following companies meet the investment committee's criteria for shortlisting?

Select all that apply

Beta Health

Delta Pay

Epsilon Bio

Zeta Systems

Eta Dynamics

Show answer & explanation

Answer: Beta Health; Epsilon Bio; Eta Dynamics

Answer

The companies that qualify for shortlisting are Beta Health, Epsilon Bio, and Eta Dynamics.

The correct selections are Beta Health, Epsilon Bio, and Eta Dynamics because each satisfies at least two of the three stated conditions. Beta Health achieves Revenue Growth above 40% (45%) and Retention at or above 90% (92%). Epsilon Bio is Profitable and achieves Retention of at least 90% (94%). Eta Dynamics satisfies all three requirements.

Step-by-Step Solution

1

Define the three evaluation criteria explicitly

Criterion 1: Revenue Growth

> 40\%

; Criterion 2: Profitable = Yes; Criterion 3: Employee Retention Rate

\geq 90\%

.

Clear definitions prevent boundary errors when filtering multi-column data.

2

Evaluate each company against all three criteria

Alpha Corp: C1 (No, 35%), C2 (Yes), C3 (No, 88%) -> Total: 1 criterion.
Beta Health: C1 (Yes, 45%), C2 (No), C3 (Yes, 92%) -> Total: 2 criteria.
Gamma Power: C1 (No, 28%), C2 (Yes), C3 (No, 85%) -> Total: 1 criterion.
Delta Pay: C1 (Yes, 50%), C2 (No), C3 (No, 78%) -> Total: 1 criterion.
Epsilon Bio: C1 (No, 40% is not > 40%), C2 (Yes), C3 (Yes, 94%) -> Total: 2 criteria.
Zeta Systems: C1 (Yes, 60%), C2 (No), C3 (No, 82%) -> Total: 1 criterion.
Eta Dynamics: C1 (Yes, 52%), C2 (Yes), C3 (Yes, 90%) -> Total: 3 criteria.

Systematic evaluation ensures no row or condition is miscounted.

3

Identify all companies meeting at least two conditions

Beta Health (2 criteria), Epsilon Bio (2 criteria), and Eta Dynamics (3 criteria) qualify.

Filtering for total criteria count

\geq 2

yields the correct subset.

Key Concept

Multi-condition compound filtering requires evaluating individual logical constraints across multiple columns and aggregating total satisfied criteria per row.

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