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Question 921Question →

Match each military work scenario with the correct time it would take to complete the task. Assume all personnel work at the same constant rate.

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Items

2 mechanics take 6 hours to repair an engine. How many hours will it take 4 mechanics?
3 medics take 8 hours to inventory supplies. How many hours will it take 6 medics?
4 logisticians take 5 hours to load a transport. How many hours will it take 10 logisticians?
5 engineers take 6 hours to clear a path. How many hours will it take 6 engineers?

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Answer

The 4 mechanics will take 3 hours, the 6 medics will take 4 hours, the 10 logisticians will take 2 hours, and the 6 engineers will take 5 hours.
Each scenario is an inverse proportion problem where the product of workers and time is a constant (total work). To find the new time, multiply the original workers by the original hours, then divide by the new number of workers.

Step-by-Step Solution

1
Calculate the constant total work for each scenario.
Scenario 1: 12 hours. Scenario 2: 24 hours. Scenario 3: 20 hours. Scenario 4: 30 hours.
In inverse proportions, the product of workers and time is a constant (representing the total work required).
2
Divide the total work by the new number of workers.
12/4 = 3 hours; 24/6 = 4 hours; 20/10 = 2 hours; 30/6 = 5 hours.
Since the total work remains constant, dividing it by the available workforce yields the new time.

Key Concept

Inverse Proportions
Question 922Question →

Elements in the periodic table are organized into families based on recurring valence electron configurations and characteristic chemical properties. Match each periodic table group on the left with its defining valence configuration and reactivity property on the right.

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Items

Alkali metals (Group 1)
Alkaline earth metals (Group 2)
Halogens (Group 17)
Noble gases (Group 18)

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Answer

Alkali metals (Group 1) match with having 11 valence electron and forming +1+1 cations; Alkaline earth metals (Group 2) match with having 22 valence electrons and forming +2+2 cations; Halogens (Group 17) match with having 77 valence electrons and forming −1-1 anions; Noble gases (Group 18) match with having a complete outer electron shell and being chemically inert.
Each chemical family's behavior is dictated by its valence electron configuration: Group 1 has 11 valence electron forming +1+1 ions; Group 2 has 22 valence electrons forming +2+2 ions; Group 17 has 77 valence electrons gaining 11 electron to form −1-1 ions; Group 18 has complete outer shells resulting in chemical inertness.

Step-by-Step Solution

1
Identify the valence electron count and typical ion formation for Group 1 (Alkali metals).
Group 1 elements have 11 valence electron and lose it easily to form +1+1 cations.
Losing 11 electron gives alkali metals the stable electron configuration of the preceding noble gas.
2
Identify the valence electron count and typical ion formation for Group 2 (Alkaline earth metals).
Group 2 elements have 22 valence electrons and lose them to form +2+2 cations.
Losing both valence electrons achieves a stable outer octet.
3
Identify the valence electron count and typical ion formation for Group 17 (Halogens).
Group 17 elements have 77 valence electrons and gain 11 electron to form −1-1 anions.
Nonmetals with 77 valence electrons require only 11 additional electron to reach a full octet.
4
Identify the outer shell characteristics and reactivity of Group 18 (Noble gases).
Group 18 elements have completely filled valence shells and are non-reactive (inert).
A filled outer shell provides maximum thermodynamic stability without sharing, gaining, or losing electrons.

Key Concept

Periodic table groups reflect valence electron numbers that determine characteristic chemical properties and predictable ion formation.
Estimated Time:1m 0s
Question 923Question →

Match each vehicle's travel scenario with its calculated average speed in miles per hour (mph).

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Items

A patrol boat travels 6565 miles in 130130 minutes.
A military convoy travels 112112 miles in 22 hours and 4848 minutes.
A supply train covers 135135 miles in 22 hours and 1515 minutes.
A reconnaissance aircraft covers 384384 miles in 22 hours and 2424 minutes.

Matches

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Answer

Match the scenarios to their respective speeds by converting all times strictly into hours, then dividing the distance by that time.
Each correct speed is found by converting the travel time into decimal or fractional hours and then properly applying the standard rate formula (r=d/tr = d/t).

Step-by-Step Solution

1
Convert the travel time in each scenario to hours.
Boat: 13/6 hours. Convoy: 2.8 hours. Train: 2.25 hours. Aircraft: 2.4 hours.
Because the required speed is in miles per hour (mph), the units of time must be strictly in hours.
2
Apply the speed formula: Rate = Distance / Time.
Boat: 65 / (13/6) = 30 mph. Convoy: 112 / 2.8 = 40 mph. Train: 135 / 2.25 = 60 mph. Aircraft: 384 / 2.4 = 160 mph.
Dividing the given distance in miles by the correct time in hours yields the average speed.

Key Concept

Calculating Rate and Time
Estimated Time:2m 30s
Question 924Question →

Pair each isolated vocabulary word on the left with its most precise synonym on the right.

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Items

CANDID
FEEBLE
PLACID
STURDY

Matches

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Answer

CANDID pairs with Honest, FEEBLE pairs with Weak, PLACID pairs with Calm, and STURDY pairs with Strong.
Each vocabulary term pairs directly with its exact definition: CANDID matches 'Honest', FEEBLE matches 'Weak', PLACID matches 'Calm', and STURDY matches 'Strong'.

Step-by-Step Solution

1
Identify the primary definition of CANDID and locate its equivalent synonym.
CANDID means truthful and straightforward, matching 'Honest'.
Direct semantic association establishes the precise definition without requiring surrounding context.
2
Identify the primary definition of FEEBLE and locate its equivalent synonym.
FEEBLE means lacking bodily force or energy, matching 'Weak'.
Establishing the core adjective definition isolates the exact descriptor.
3
Identify the primary definition of PLACID and locate its equivalent synonym.
PLACID means quiet, tranquil, or untroubled, matching 'Calm'.
Evaluating mood and state definitions identifies the matching synonym.
4
Identify the primary definition of STURDY and locate its equivalent synonym.
STURDY means solid, robust, and physically capable, matching 'Strong'.
Analyzing structural and physical descriptors confirms the corresponding synonym.

Key Concept

Direct semantic pairing of isolated vocabulary terms with their core definition synonyms.
Estimated Time:45s
Question 925Question →

Examine the three technical maintenance briefings below. Which explicitly stated central idea belongs to each briefing?

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Items

Briefing 1: Liquid oxygen converters in high-altitude aircraft require regular pressure integrity testing to prevent unpressurized vaporization during flight. Technicians pressurize the insulated converter vessel with dry gaseous nitrogen to check for micro-leaks along the relief valves and vacuum jacket. If the vessel loses pressure during the holding period, the cryogenic liquid can boil off prematurely, depriving the flight crew of breathing oxygen. Routine pressure testing of converter vessels is therefore vital for maintaining a dependable aircrew oxygen supply.
Briefing 2: Naval vessel ventilation networks utilize electrostatic precipitators to eliminate airborne particulate contaminants before engine air intake. Incoming air flows across ionizing wires that impart a positive electrical charge to suspended oil mist and soot particles. The charged particles are then attracted to grounded collection plates, keeping combustion chambers free from abrasive buildup. Maintaining clean precipitator plates ensures that propulsion machinery operates without fouling from atmospheric debris.
Briefing 3: Rotary friction welding provides a defect-free method for joining dissimilar metals in aerospace drive shafts. During this process, one component rotates at high speed while being pressed against a stationary workpiece, generating intense localized frictional heat without melting the parent metals. Once forging temperature is reached, rotational force stops abruptly and axial forging pressure creates a solid-state molecular bond. This bonding technique ensures superior structural integrity in critical rotational assemblies.

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Answer

Briefing 1 pairs with the statement regarding routine pressure testing of liquid oxygen converters; Briefing 2 pairs with the statement regarding electrostatic precipitators filtering air for propulsion machinery; Briefing 3 pairs with the statement regarding rotary friction welding joining dissimilar metals in aerospace shafts.
Each correct pairing links a technical passage to the central proposition explicitly declared in its topic sentence. Briefing 1 focuses on verifying converter pressure to maintain aircrew oxygen; Briefing 2 focuses on using precipitators to clean engine intake air; Briefing 3 focuses on using friction welding to bond dissimilar shaft metals.

Step-by-Step Solution

1
Locate the explicit topic sentence in Briefing 1.
The text explicitly states: 'Liquid oxygen converters in high-altitude aircraft require regular pressure integrity testing to prevent unpressurized vaporization during flight.'
Explicit main ideas in technical passages are directly stated in anchor sentences rather than implied.
2
Locate the explicit topic sentence in Briefing 2.
The text directly states: 'Naval vessel ventilation networks utilize electrostatic precipitators to eliminate airborne particulate contaminants before engine air intake.'
The supporting sentences elaborate on the ionization wires and collection plates that fulfill this explicit primary purpose.
3
Locate the explicit topic sentence in Briefing 3.
The text directly states: 'Rotary friction welding provides a defect-free method for joining dissimilar metals in aerospace drive shafts.'
Subsequent details describe the rotational friction mechanics and forging pressure that achieve this solid-state bond.
4
Match each briefing to its corresponding explicit summary statement.
Briefing 1 matches the oxygen converter integrity testing statement; Briefing 2 matches the electrostatic precipitator filtration statement; Briefing 3 matches the friction welding aerospace drive shaft statement.
Each statement captures the central claim stated directly in the respective passage rather than secondary procedural details.

Key Concept

Identifying Explicit Main Ideas in Technical Passages
Estimated Time:1m 30s
Question 926Question →

Read the three technical excerpts below regarding specialized military hardware. Match each passage with its explicitly stated main idea.

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Items

Impressed current cathodic protection (ICCP) systems prevent electrochemical hull corrosion by continuously delivering an external direct electrical current to counteract seawater oxidation. An automated onboard controller monitors reference electrodes mounted along the ship's hull to calculate galvanic activity. When changes in vessel speed or water salinity accelerate oxidation rates, the controller increases current flow through submerged titanium anodes. By actively neutralizing galvanic reactions, this continuous electrical discharge maintains structural steel integrity during extended sea deployments.
Infrared sensor arrays produce significant electronic background noise when exposed to ambient operating heat, obscuring faint thermal signatures from distant targets. To resolve this problem in combat environments, an internal compressor cycles helium gas through repeated expansion and compression stages to chill the detector array down to 77 Kelvin. By suppressing internal thermal agitation, closed-cycle Stirling cryocoolers enable tactical thermal sensors to resolve faint heat signatures across extreme distances.
Modern tactical aircraft frequently operate in contested airspaces where satellite global positioning signals are actively jammed or unavailable. In these operational scenarios, ring laser gyroscopes provide self-contained navigational accuracy by measuring rotational acceleration through interfering counter-propagating laser beams. As the aircraft pitches or rolls, the optical path length changes, creating a measurable frequency difference between clockwise and counterclockwise light waves that guidance computers use to update position without external radio contact.

Matches

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Answer

Passage 1 matches the statement that ICCP systems prevent electrochemical hull corrosion via delivered direct current; Passage 2 matches the statement that closed-cycle Stirling cryocoolers enable tactical sensors to resolve faint heat signatures; Passage 3 matches the statement that ring laser gyroscopes provide self-contained navigation using interfering laser beams.
Each passage contains a directly identifiable topic sentence that defines the primary function and purpose of the highlighted hardware. Matching each passage to its explicit topic sentence establishes the correct functional pair without relying on external assumptions.

Step-by-Step Solution

1
Analyze Passage 1 for its explicitly stated central thesis.
The opening sentence directly states that ICCP systems prevent electrochemical hull corrosion by delivering an external direct electrical current to counteract seawater oxidation.
The remaining sentences provide supporting mechanical details about reference electrodes, controllers, and titanium anodes.
2
Analyze Passage 2 for its explicitly stated central thesis.
The final sentence directly states that closed-cycle Stirling cryocoolers enable tactical thermal sensors to resolve faint heat signatures across extreme distances.
The initial sentences describe the problem of ambient noise and the mechanical role of helium gas, leading directly to this concluding explicit synthesis.
3
Analyze Passage 3 for its explicitly stated central thesis.
The embedded second sentence directly asserts that ring laser gyroscopes provide self-contained navigational accuracy by measuring rotational acceleration through interfering counter-propagating laser beams.
The surrounding sentences establish context regarding satellite jamming and explain optical path frequency changes.

Key Concept

Explicit Main Idea Identification
Estimated Time:1m 15s
Question 927Question →

Read each short passage below carefully. Match each passage with the unstated central claim (implicit main idea) it best supports.

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Items

Inside long-term agricultural vaults, stored seeds are kept at sub-zero temperatures with oxygen levels lowered to a minimum. Technicians strictly monitor relative humidity to prevent mold and halt cellular metabolism before storage containers are sealed.
A woodworker begins restoring a dull hand plane by rubbing the steel blade across a coarse whetstone. Once the basic edge is shaped, the craftsman transitions to medium and ultra-fine polishing stones with light oil to remove microscopic metal burrs.
The desert kangaroo rat survives in arid regions without access to open water. It extracts all required moisture from the carbohydrates inside dry seeds and produces highly concentrated waste to prevent any internal fluid loss.

Matches

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Answer

Passage 1 matches the claim regarding environmental controls for preserving seed dormancy; Passage 2 matches the claim regarding the progressive process of sharpening; Passage 3 matches the claim regarding physiological adaptations for survival without liquid water.
Each passage provides a coherent set of factual details that lead to an unstated overarching conclusion: the seed vault passage points to controlled environmental preservation, the tool passage points to graduated sharpening, and the kangaroo rat passage points to hydration adaptations.

Step-by-Step Solution

1
Analyze the supporting details of the first passage about seed storage.
Details focus on low temperature, reduced oxygen, and low humidity preventing cellular activity.
Synthesizing these environmental factors reveals the unstated purpose of maintaining dormancy through environmental controls.
2
Analyze the supporting details of the second passage about edge tools.
Details show moving sequentially from coarse whetstones to ultra-fine polishing stones.
These steps collectively imply that achieving a keen edge requires a multi-stage, graduated method.
3
Analyze the supporting details of the third passage about kangaroo rats.
Details describe obtaining moisture from dry seed metabolism and minimizing moisture excretion.
Combined, these facts support the broader unstated conclusion that biological adaptations eliminate the need for drinking water.

Key Concept

Synthesizing an unstated main idea from related supporting details
Estimated Time:1m 0s
Question 928Question →

Read the following passage about automotive maintenance:

In modern automotive braking systems, regular maintenance is essential to prevent mechanical failure. When brake fluid absorbs excessive moisture over time, its boiling point drops significantly, which causes brake fade during heavy braking. Additionally, worn brake pads create direct metal-to-metal contact with the rotors, resulting in severe surface grooving and loud grinding noises. If air bubbles enter the hydraulic lines due to a loose bleeder valve, the pedal feels spongy because air compresses under pressure while fluid does not. Addressing these specific issues promptly ensures optimal stopping power.

Based on the passage, match each mechanical cause with its direct stated effect.

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Items

Brake fluid absorbs excessive moisture over time
Worn brake pads create metal-to-metal contact with rotors
Air bubbles enter the hydraulic lines

Matches

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Answer

Moisture absorption in brake fluid matches with brake fade from a reduced boiling point; worn pads contacting rotors matches with rotor surface grooving and grinding noises; air bubbles entering hydraulic lines matches with a spongy brake pedal.
Each cause is directly paired with its explicitly stated consequence in the passage: moisture absorption lowers boiling point causing brake fade, worn pad contact causes rotor grooving and grinding, and air entering the lines makes the pedal spongy because air compresses under pressure.

Step-by-Step Solution

1
Identify the cause-and-effect indicators in the text for each listed item.
Found 'which causes brake fade' linked to moisture absorption, 'resulting in severe surface grooving' linked to worn pads, and 'the pedal feels spongy because air compresses' linked to air bubbles.
Explicit causal extraction requires matching the specific condition directly to the outcome signaled by causal conjunctions in the text.
2
Pair each stated cause on the left with its directly stated consequence on the right.
All three causes are accurately connected to their explicit textual results without mixing up symptoms.
Direct fact retrieval of causal details confirms each match based solely on the passage.

Key Concept

Extracting explicitly stated cause-and-effect relationships from a technical passage
Estimated Time:45s
Question 929Question →

Match each algebraic expression containing numerical coefficients on the left with its fully simplified equivalent form on the right.

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Items

3y2⋅2y43y^2 \cdot 2y^4
12y74y3\frac{12y^7}{4y^3}
(2y3)3(2y^3)^3
5y−25y^{-2}

Matches

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Answer

The simplified pairs are: 3y2⋅2y43y^2 \cdot 2y^4 matches with 6y66y^6, 12y74y3\frac{12y^7}{4y^3} matches with 3y43y^4, (2y3)3(2y^3)^3 matches with 8y98y^9, and 5y−25y^{-2} matches with 5y2\frac{5}{y^2}.
Each left-side expression simplifies to exactly one unique form on the right by appropriately applying exponent rules to the variable bases and standard arithmetic operations to the numerical coefficients.

Step-by-Step Solution

1
Simplify the product expression 3y2⋅2y43y^2 \cdot 2y^4.
6y66y^6
When multiplying terms, handle coefficients and variables separately. Multiply coefficients (3×2=63 \times 2 = 6) and add exponents for identical bases (y2+4=y6y^{2+4} = y^6).
2
Simplify the quotient expression 12y74y3\frac{12y^7}{4y^3}.
3y43y^4
Divide the coefficients (12÷4=312 \div 4 = 3) and subtract the bottom exponent from the top exponent (y7−3=y4y^{7-3} = y^4).
3
Simplify the power expression (2y3)3(2y^3)^3.
8y98y^9
Raise both the coefficient and the variable to the power of 3. Calculate 23=82^3 = 8, and multiply the exponents for the variable 3×3=93 \times 3 = 9.
4
Simplify the negative exponent expression 5y−25y^{-2}.
5y2\frac{5}{y^2}
A negative exponent creates a reciprocal. Since the exponent only applies to yy, it moves to the denominator while the coefficient 5 stays in the numerator.

Key Concept

Handling numerical coefficients alongside basic operations with variable exponents.
Question 930Question →

Pair each algebraic operation on the left with its correctly simplified expression on the right. Assume all variables represent non-zero real numbers.

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Items

(3m4n2)(4m2n5)(3m^4 n^2)(4m^2 n^5)
12m8n34m2n−4\frac{12m^8 n^3}{4m^2 n^{-4}}
(2m3n2)3(2m^3 n^2)^3
24m4n23m5n−1\frac{24m^4 n^2}{3m^5 n^{-1}}

Matches

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Answer

The correct matches require applying the product, quotient, and power rules of exponents systematically to each expression.
Each expression is correctly simplified by identifying the primary exponent rule required (product, quotient, or power) and applying it to both the numerical coefficients and the variables' exponents.

Step-by-Step Solution

1
Evaluate (3m4n2)(4m2n5)(3m^4 n^2)(4m^2 n^5) using the Product Rule.
12m6n712m^6 n^7
Multiply coefficients (3 * 4 = 12) and add exponents of corresponding variables (m4+2m^{4+2}, n2+5n^{2+5}).
2
Evaluate 12m8n34m2n−4\frac{12m^8 n^3}{4m^2 n^{-4}} using the Quotient Rule.
3m6n73m^6 n^7
Divide coefficients (12 / 4 = 3) and subtract denominator exponents from numerator exponents (m8−2m^{8-2}, n3−(−4)n^{3-(-4)}).
3
Evaluate (2m3n2)3(2m^3 n^2)^3 using the Power of a Product Rule.
8m9n68m^9 n^6
Cube the coefficient (23=82^3 = 8) and multiply inner exponents by the outer exponent (m3×3m^{3 \times 3}, n2×3n^{2 \times 3}).
4
Evaluate 24m4n23m5n−1\frac{24m^4 n^2}{3m^5 n^{-1}} using the Quotient Rule and Negative Exponent Rule.
8n3m\frac{8n^3}{m}
Divide coefficients (24 / 3 = 8), subtract exponents (m4−5=m−1m^{4-5} = m^{-1}, n2−(−1)=n3n^{2-(-1)} = n^3), and rewrite the negative exponent in the denominator.

Key Concept

Applying fundamental exponent laws (product rule, quotient rule, power of a power) and properly handling numerical coefficients separately from variable exponents.
Estimated Time:1m 30s
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