All practice questions

Question 4821Question →

During a physical fitness assessment, $68$ recruits met the advanced standard. If these recruits represent $17\%$ of the total training company, what is the total number of recruits in the company?

Show answer & explanation

Answer: 400

Answer

400

The correct total is found by recognizing the relationship:

\text{Part} = \text{Rate} \times \text{Base}

. We are given the Part (

68

) and the Rate (

17\%

or

0.17

). To find the Base, we divide the Part by the Rate:

68 \div 0.17 = 400

.

Step-by-Step Solution

1

Set up an algebraic equation relating the given part to the unknown whole.

0.17 \times x = 68

The problem states that

17\%

of the total class (

x

) is equal to

68

recruits.

2

Isolate the variable

x

to solve for the total.

x = \frac{68}{0.17}

Dividing both sides of the equation by

0.17

will leave

x

by itself.

3

Perform the division without a calculator.

x = 400

Multiply the numerator and denominator by

100

to remove the decimal, resulting in

\frac{6800}{17}

. Since

17 \times 4 = 68

,

\frac{6800}{17}

equals

400

.

Key Concept

Finding the original base when a percentage rate and its corresponding amount are known.

Estimated Time:1m 0s

Question 4822Question →

Read the passage about turbine engine lubricants and complete the logical conclusion regarding lubricant testing.

Fill in the blanks below

Aircraft turbine engine lubricating oils must maintain stable viscosity across extreme operating temperatures. Synthetic ester-based oils resist thermal breakdown at elevated temperatures, preventing sludge accumulation. However, when contaminated with atmospheric moisture over time, ester molecules undergo hydrolysis, splitting into organic acids and alcohols that accelerate bearing corrosion. Therefore, maintenance technicians evaluating degraded turbine oil test not only for viscosity changes, but primarily for increasing levels.

Show answer & explanation

Answer

acidity (or acid / organic acid)

The passage establishes that moisture causes ester oil molecules to undergo hydrolysis, splitting into organic acids and alcohols. Because these organic acids accelerate bearing corrosion, testing for increased acidity directly detects whether moisture-driven chemical breakdown has occurred.

Step-by-Step Solution

1

Identify the primary chemical degradation mechanism triggered by moisture in ester-based oil.

Moisture exposure causes ester molecules to undergo hydrolysis, producing organic acids and alcohols.

Determining the chemical products of hydrolysis identifies what substance accumulates in contaminated oil.

2

Connect the accumulated chemical product to the resulting component failure.

The organic acids generated by hydrolysis directly accelerate bearing corrosion.

Corrosion is driven specifically by acid accumulation rather than thermal breakdown or alcohol generation.

3

Deduce the logical parameter technicians must test to monitor moisture-induced degradation.

Technicians must monitor acidity or acid levels in the lubricant.

Rising acidity serves as the direct indicator of moisture contamination and impending corrosive damage.

Key Concept

Drawing logical conclusions from cause-and-effect relationships in technical passages

Question 4823Question →

Simplify the following algebraic expression completely:

3(4m - 2n) - 2(3m + 5n) - (m - 12n)

Show answer & explanation

Answer: 5m - 4n; 5m-4n; -4n + 5m; -4n+5m

Answer

5m - 4n

To simplify the expression, first apply the distributive property to eliminate the parentheses, taking care to distribute the negative signs properly:

12m - 6n - 6m - 10n - m + 12n

. Then, combine the like terms for

m

(

12m - 6m - m = 5m

) and the like terms for

n

(

-6n - 10n + 12n = -4n

) to reach the final answer of

5m - 4n

.

Step-by-Step Solution

1

Distribute the coefficients to the terms inside each set of parentheses.

12m - 6n - 6m - 10n - m + 12n

The distributive property must be applied first to remove parentheses before like terms can be combined.

2

Group the like terms for variables

m

and

n

.

(12m - 6m - m) + (-6n - 10n + 12n)

Grouping like terms organizes the expression to easily combine their coefficients.

3

Combine the coefficients of the grouped terms.

5m - 4n

Evaluating the addition and subtraction of the coefficients yields the fully simplified expression.

Key Concept

Simplifying Algebraic Expressions

Question 4824Question →

During tactical briefing preparations, intelligence specialists review reconnaissance imagery to highlight salient terrain features—that is, the most prominent and easily recognizable landmarks—before issuing patrol maps to ground units. Emphasizing these conspicuous landmarks ensures that dismounted teams can quickly orient themselves without constantly relying on digital satellite positioning in contested operational zones.

Based on the context clues in the passage, which of the following is the best meaning of the word "salient"?

Contested

Concealed

Prominent

Digital

Show answer & explanation

Answer: Prominent

Answer

Prominent

The passage uses an appositive structure introduced by dashes and the transitional phrase 'that is' to directly define 'salient terrain features' as 'the most prominent and easily recognizable landmarks'. Therefore, 'Prominent' is the exact synonymous meaning supported by the text.

Step-by-Step Solution

1

Locate the target vocabulary word in the passage

Identified 'salient' in the phrase 'salient terrain features—that is, the most prominent and easily recognizable landmarks—before issuing patrol maps'.

Finding the specific sentence allows identification of the surrounding structural context clues.

2

Analyze the punctuation and transitional phrase following the target word

Recognized the dash followed by the phrase 'that is', which introduces an explicit synonymous restatement.

Phrases like 'that is' set off by dashes serve as direct appositive synonyms defining unfamiliar terms.

3

Extract the synonymous meaning and match with the answer choices

The phrase 'the most prominent and easily recognizable landmarks' matches the term 'Prominent'.

Selecting the direct synonym stated in the passage confirms the intended contextual meaning.

Key Concept

Identifying direct synonymous restatements and appositives

Estimated Time:1m 0s

Question 4825Question →

When conducting a pre-mission inspection on the Tactical Fuel Distribution System (TFDS), technicians must follow precise timing and pressure guidelines. The initial self-test on the electronic control module takes 45 seconds to complete. Once active, the intake booster pump operates for 15 minutes in circulation mode before fuel transfer begins. If line pressure fluctuates, the automatic safety valve shuts down flow within 5 seconds. Operators must record pressure readings every 30 minutes throughout the refueling operation.

According to the passage, how long does the electronic control module take to complete its initial self-test?

5 seconds

15 minutes

45 seconds

30 minutes

Show answer & explanation

Answer: 45 seconds

Answer

45 seconds

The passage explicitly states that 'the initial self-test on the electronic control module takes 45 seconds to complete.' Directly pairing the specified component with its corresponding stated time duration confirms that 45 seconds is the correct figure.

Step-by-Step Solution

1

Locate the specific target entity in the prompt within the text.

Identified the sentence discussing the 'initial self-test on the electronic control module.'

The question asks specifically about the duration of the electronic control module self-test.

2

Extract the precise quantitative detail paired with that target entity.

Extracted '45 seconds'.

The text directly links '45 seconds' to the completion of the module's self-test, distinguishing it from other numerical figures in the passage.

Key Concept

Locating a specific named technical component in a passage and extracting its exact numerical value while filtering out surrounding numerical distractors.

Estimated Time:45s

Question 4826Question →

A military transport aircraft has a maximum cargo capacity of $15,000 \text{ kilograms}$ . The aircraft is currently loaded with $19,800 \text{ pounds}$ of equipment. If $1 \text{ kilogram}$ is equal to $2.2 \text{ pounds}$ , how much additional cargo, in kilograms, can the aircraft carry?

Show answer & explanation

Answer: 6000

Answer

6000

The remaining capacity is found by first standardizing all measurements to kilograms (

19,800 \text{ pounds} \div 2.2 = 9,000 \text{ kilograms}

), and then subtracting this from the total allowance (

15,000 \text{ kg} - 9,000 \text{ kg} = 6,000 \text{ kg}

).

Step-by-Step Solution

1

Convert the current load from pounds to kilograms.

19,800 \div 2.2 = 9,000 \text{ kg}

Since the maximum capacity is given in kilograms and the final answer must be in kilograms, the current load must be converted to the metric system.

2

Subtract the current load from the maximum cargo capacity.

15,000 - 9,000 = 6,000 \text{ kg}

Subtracting the weight already on board from the maximum allowable weight gives the remaining available capacity.

Key Concept

Converting units between the US Customary and metric systems using a given conversion factor, followed by basic arithmetic subtraction.

Question 4827Question →

A military mess hall prepares meals using a ratio of $4$ pounds of potatoes for every $15$ soldiers. How many pounds of potatoes are needed to feed $60$ soldiers?

Show answer & explanation

Answer: 16; 16 pounds; 16 lbs; 16 lb

Answer

16

Since the ratio of potatoes to soldiers is constant, and the number of soldiers increases by a scale factor of

4

(from

15

to

60

), the pounds of potatoes must also be multiplied by

4

(

4 \times 4 = 16

).

Step-by-Step Solution

1

Set up a proportion matching pounds of potatoes to the number of soldiers.

\frac{4}{15} = \frac{x}{60}

This proportion relates the known ratio (

4

pounds for

15

soldiers) to the unknown quantity

x

for

60

soldiers.

2

Solve for the unknown quantity

x

.

x = \frac{4 \times 60}{15} = 4 \times 4 = 16

Solving the equation gives the total pounds of potatoes needed to maintain the same ratio.

Key Concept

Direct Proportions

Estimated Time:45s

Question 4828Question →

What is the evaluated result of the expression shown below?

24 \div 2^3 \times 3 - (5 - 8)^2 + |-10|

10

2

28

-10

Show answer & explanation

Answer: 10

Answer

The correct result is 10, achieved by evaluating grouping symbols and exponents first, followed by left-to-right division and multiplication, and finally left-to-right subtraction and addition.

The correct answer is 10. By following the standard order of operations, grouping symbols and exponents are resolved first to yield

24 \div 8 \times 3 - 9 + 10

. Next, executing multiplication and division strictly from left to right gives

9 - 9 + 10

. Finally, executing addition and subtraction strictly from left to right yields

0 + 10 = 10

.

Step-by-Step Solution

1

Simplify the expressions inside the parentheses and absolute value bars.

24 \div 2^3 \times 3 - (-3)^2 + 10

Grouping symbols must be resolved first according to the standard order of operations.

2

Evaluate the exponential terms.

24 \div 8 \times 3 - 9 + 10

Exponents are the second priority step and must be resolved before multiplication or division.

3

Perform multiplication and division sequentially from left to right.

First,

24 \div 8 = 3

. Then,

3 \times 3 = 9

. The expression becomes

9 - 9 + 10

.

Multiplication and division share the exact same priority level and must be executed strictly from left to right.

4

Perform addition and subtraction sequentially from left to right.

First,

9 - 9 = 0

. Then,

0 + 10 = 10

.

Addition and subtraction share the same priority level and must also be executed strictly from left to right.

Key Concept

Order of Operations (PEMDAS/BODMAS) and Left-to-Right Priority

Estimated Time:1m 0s

Question 4829Question →

A military base assigns personnel to guard duty and patrol duty in a ratio of $5:2$ . If there are $40$ personnel assigned to guard duty, what is the total number of personnel assigned to both duties combined?

16

56

100

140

Show answer & explanation

Answer: 56

Answer

The total number of personnel assigned to both duties is 56.

The correct answer accurately determines that 5 parts equal 40 personnel, meaning 1 part is equal to 8 personnel. The total number of personnel represents 7 parts in total (5 + 2). Multiplying 7 total parts by 8 personnel per part results in 56 total personnel.

Step-by-Step Solution

1

Determine the value of one part of the ratio.

1 part = 8 personnel

The ratio of guard to patrol duty is 5:2, meaning 5 parts correspond to the 40 personnel on guard duty. Dividing 40 by 5 gives the value of a single part.

2

Calculate the total number of parts in the given ratio.

Total parts = 7

The total personnel is the sum of guard duty parts (5) and patrol duty parts (2).

3

Multiply the total parts by the value of one part.

7 × 8 = 56 personnel

Multiplying the total number of parts by the personnel value of each individual part gives the combined total.

Key Concept

Solving part-to-whole ratio problems by determining the value of a single unit part.

Question 4830Question →

Unlike modern digital diagnostic scanners that are lightweight and easy to maneuver through cramped aircraft compartments, the original analog test consoles were distinctly unwieldy. Technicians frequently required mechanical hoists and multiple assistants just to position the heavy equipment inside the engine bay for routine inspections.

As used in the passage, what does the word "unwieldy" most nearly mean?

Lightweight and easily transportable

Prone to severe electrical interference

Awkward to handle and position

Equipped for routine digital inspection

Show answer & explanation

Answer: Awkward to handle and position

Answer

Awkward to handle and position

The passage establishes a direct contrast between modern scanners and the original consoles using the transitional indicator 'Unlike.' Because modern scanners are described as 'lightweight and easy to maneuver,' the contrasting term 'unwieldy' must mean difficult or awkward to handle and move. This is further reinforced by the passage describing the need for mechanical hoists and multiple assistants to position the equipment.

Step-by-Step Solution

1

Identify the contrast signal word and the two subjects being compared.

The word 'Unlike' introduces an explicit contrast between modern digital scanners and original analog consoles.

Contrast words indicate that the characteristics of the two subjects will be antonymous or opposing.

2

Examine the context clues describing the contrasting subject.

Modern scanners are described as 'lightweight and easy to maneuver.'

These attributes serve as the antonym clue for the target word 'unwieldy.'

3

Deduce the meaning of the target word and verify with supporting context.

The word 'unwieldy' means the opposite of easy to maneuver—bulky, awkward, or difficult to manage—which is confirmed by the need for hoists and extra personnel.

Synthesizing the antonym clue with the sentence's supporting details confirms the correct definition.

Key Concept

Identifying Antonym and Contrast Context Clues

Estimated Time:1m 0s

Question 4831Question →

Solve the following inequality for $x$ :

-2x + 6 \leq 14

Which of the following is the correct solution?

x \geq -4

x \leq -4

x \geq 4

x \leq -10

Show answer & explanation

Answer: $x \geq -4$

Answer

The correct solution is

x \geq -4

.

The correct answer is found by subtracting 6 from 14 to get 8, and then dividing 8 by -2. Because we divided by a negative number, the less than or equal to symbol (

\leq

) must flip to a greater than or equal to symbol (

\geq

), yielding

x \geq -4

.

Step-by-Step Solution

1

Subtract 6 from both sides of the inequality to isolate the variable term.

-2x \leq 14 - 6

-2x \leq 8

This is the first step in using inverse operations to isolate

x

.

2

Divide both sides by

-2

and reverse the inequality symbol.

x \geq 8 \div (-2)

x \geq -4

When multiplying or dividing an inequality by a negative number, the direction of the inequality sign must be flipped.

Key Concept

Solving One-Variable Inequalities

Question 4832Question →

A logistics facility implements an energy-saving program that reduces its daily electricity consumption by $20\%$ . Six months later, expanded operations require the facility to increase its new, reduced consumption by $30\%$ . What is the net percentage change in the facility's daily electricity consumption compared to the original amount?

4\%

increase

10\%

increase

24\%

increase

16\%

decrease

Show answer & explanation

Answer: $4\%$ increase

Answer

The net change is a

4\%

increase compared to the original electricity consumption.

To find the net percentage change, each change must be applied sequentially. A

20\%

decrease leaves

80\%

of the original amount. A subsequent

30\%

increase is calculated on this

80\%

(

0.30 \times 80\% = 24\%

). Adding this to the reduced amount gives

80\% + 24\% = 104\%

. The final amount is

104\%

of the original, representing a

4\%

net increase.

Step-by-Step Solution

1

Establish an initial baseline value to simplify calculations.

Assume the original daily electricity consumption is

100

units.

Using

100

makes percentage calculations intuitive and straightforward.

2

Calculate the consumption after the initial

20\%

reduction.

100 - (0.20 \times 100) = 80

units.

The facility reduces its original consumption by

20\%

.

3

Calculate the final consumption after the subsequent

30\%

increase.

80 + (0.30 \times 80) = 80 + 24 = 104

units.

The

30\%

increase must be applied to the new, reduced base of

80

units, not the original

100

units.

4

Determine the net percentage change from the original baseline.

104 - 100 = +4

, which represents a

4\%

increase.

Comparing the final amount (

104

) to the original amount (

100

) yields the exact net percentage change.

Key Concept

Successive Percentage Changes

Question 4833Question →

What is the correct solution set for the inequality shown below?

4(x - 1) - 2(x + 3) \geq 5x + 2

x \leq -4

x \geq -4

x \leq 0

x \leq 4

Show answer & explanation

Answer: $x \leq -4$

Answer

The correct solution set is

x \leq -4

.

The correct answer is derived by carefully distributing the coefficients, combining like terms, isolating the variable

x

, and applying the rule to reverse the inequality symbol when dividing by a negative number.

Step-by-Step Solution

1

Distribute the values

4

and

-2

into their respective parentheses on the left side.

4x - 4 - 2x - 6 \geq 5x + 2

This step removes the parentheses and prepares the terms for grouping.

2

Combine the like terms on the left side of the inequality.

2x - 10 \geq 5x + 2

Simplifying expressions on each side makes it easier to isolate the variable.

3

Subtract

5x

from both sides, and add

10

to both sides.

-3x \geq 12

This moves all variable terms to the left side and all constant terms to the right side.

4

Divide both sides by

-3

and reverse the direction of the inequality symbol.

x \leq -4

When dividing or multiplying an inequality by a negative number, the relationship between the two sides inverses, so the sign must be flipped.

Key Concept

Solving one-variable linear inequalities requires isolating the variable using inverse operations, and reversing the inequality symbol when multiplying or dividing by a negative number.

Question 4834Question →

What is the result of fully expanding and simplifying the given algebraic expression?

-4k(2k - 3m) + 5k(k - 2m) - 3k^2

-6k^2 + 2km

-6k^2 - 22km

-4k^3m

-6k^2 - 5m

Show answer & explanation

Answer: $-6k^2 + 2km$

Answer

The correct simplified expression is

-6k^2 + 2km

.

The correct answer accurately expands the expression by distributing

-4k

to get

-8k^2 + 12km

, and

5k

to get

5k^2 - 10km

. Grouping the

k^2

terms (

-8 + 5 - 3 = -6

) and the

km

terms (

12 - 10 = 2

) yields

-6k^2 + 2km

.

Step-by-Step Solution

1

Distribute

-4k

across the terms inside the first set of parentheses:

(2k - 3m)

.

-8k^2 + 12km

To eliminate the first grouping symbol, being careful to multiply the negative signs properly (

-4k \times -3m = +12km

).

2

Distribute

5k

across the terms inside the second set of parentheses:

(k - 2m)

.

5k^2 - 10km

To eliminate the second grouping symbol.

3

Write out the complete expanded expression by combining the results and the remaining

-3k^2

term.

-8k^2 + 12km + 5k^2 - 10km - 3k^2

This shows all individual terms ready for grouping.

4

Identify and combine the like terms: the

k^2

terms (

-8k^2

,

5k^2

,

-3k^2

) and the

km

terms (

12km

,

-10km

).

-6k^2 + 2km

Combining like coefficients (

-8 + 5 - 3 = -6

and

12 - 10 = 2

) provides the final simplified expression in standard form.

Key Concept

Applying the distributive property with negative numbers and combining multivariable like terms.

Question 4835Question →

Match each algebraic expression with its simplified equivalent form.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The matches are:

x^3 \cdot x^2

simplifies to

x^5

,

\frac{x^8}{x^2}

simplifies to

x^6

,

(x^4)^2

simplifies to

x^8

, and

x^{-3}

simplifies to

\frac{1}{x^3}

.

Each expression correctly pairs with its simplified form by applying the four fundamental rules of exponents: the product rule, the quotient rule, the power of a power rule, and the negative exponent rule.

Step-by-Step Solution

1

Apply the product rule for exponents to

x^3 \cdot x^2

.

x^{3+2} = x^5

Multiplying identical bases requires adding the exponents.

2

Apply the quotient rule for exponents to

\frac{x^8}{x^2}

.

x^{8-2} = x^6

Dividing identical bases requires subtracting the denominator's exponent.

3

Apply the power rule for exponents to

(x^4)^2

.

x^{4 \cdot 2} = x^8

Raising an exponent to another power requires multiplying the exponents.

4

Apply the negative exponent rule to

x^{-3}

.

\frac{1}{x^3}

A negative exponent signifies the reciprocal of the corresponding positive exponent.

Key Concept

Operations with Variable Exponents

Estimated Time:1m 0s

Question 4836Question →

Match each unsimplified algebraic expression with its correctly simplified equivalent.

Click a left item, then click its matching right item

Show answer & explanation

Answer

The correct pairings map each unsimplified expression to its distributed and combined form.

Each expression on the left is matched with its simplified form on the right by accurately applying the distributive property and combining like terms.

Step-by-Step Solution

1

Simplify the first expression: 2(3y + 4).

6y + 8

Multiply the outer term 2 by both terms inside the parentheses (3y and 4).

2

Simplify the second expression: 5y + 2y - 3.

7y - 3

Add the coefficients of the like terms containing y (5 and 2).

3

Simplify the third expression: -3(y - 2).

-3y + 6

Distribute the -3, noting that a negative multiplied by a negative results in a positive (+6).

4

Simplify the fourth expression: 4y + 2z - y + 3z.

3y + 5z

Group and add the coefficients of the y terms together, and the z terms together.

Key Concept

Simplifying Algebraic Expressions

Question 4837Question →

Read the following passage:

Modern grain storage silos utilize automated nitrogen purging systems to suppress aerobic fungal growth and eliminate combustible dust explosions. When grain is loaded, ambient air is displaced by injected nitrogen until oxygen levels fall below 8 percent. Fungal spores require at least 12 percent oxygen to metabolize, and dust combustion reactions cannot propagate below 10 percent oxygen. Consequently, maintaining this controlled atmosphere preserves grain quality without chemical fungicides.

Statement:
Based on the passage, an oxygen concentration of 9 percent inside a silo is sufficient to prevent dust explosions while still permitting aerobic fungal growth.

True

False

Show answer & explanation

Answer: False

Answer

False. An oxygen concentration of 9 percent is below both the 10 percent limit required for dust combustion and the 12 percent threshold necessary for fungal metabolism, so fungal growth is also suppressed.

The statement is false because an oxygen level of 9 percent is below the 12 percent threshold required for fungal metabolism, meaning fungal growth is prevented alongside dust combustion.

Step-by-Step Solution

1

Extract the oxygen threshold required for dust combustion reactions from the passage.

Dust combustion reactions cannot propagate when oxygen is below 10 percent.

Establishes the minimum environmental threshold for preventing dust explosions.

2

Extract the oxygen threshold required for aerobic fungal spore metabolism from the passage.

Fungal spores require at least 12 percent oxygen to metabolize.

Establishes the minimum environmental threshold for fungal growth.

3

Evaluate the effect of a 9 percent oxygen concentration against both thresholds.

Because 9 percent is less than 10 percent, dust combustion cannot propagate; because 9 percent is also less than 12 percent, fungal spores cannot metabolize.

Synthesizes the given constraints to deduce whether the statement is logically valid.

Key Concept

Deducing combined environmental outcomes from multi-threshold textual constraints

Estimated Time:1m 0s

Question 4838Question →

Read the following technical maintenance excerpt:

"When repairing damaged carbon-composite aircraft panels, technicians inspect the cured resin matrix to ensure the patch is cohesive—that is, firmly bonded into a single unified mass. The surface must also remain unblemished, meaning entirely free of cracks or surface defects, before primer application. Additionally, any structural filler used during edge sealing must be malleable, or easily shaped and worked by hand, to guarantee an airtight aerodynamic seal."

Based on the synonymous context clues in the passage, match each vocabulary term with its contextual definition.

Click a left item, then click its matching right item

Show answer & explanation

Answer

'cohesive' pairs with 'Firmly bonded into a single unified mass'; 'unblemished' pairs with 'Entirely free of cracks or surface defects'; 'malleable' pairs with 'Easily shaped and worked by hand'.

Each vocabulary term is accompanied by a specific synonymous indicator within the sentence: 'cohesive' is offset by 'that is' followed by 'firmly bonded into a single unified mass'; 'unblemished' is explicitly clarified by 'meaning entirely free of cracks or surface defects'; and 'malleable' is linked via 'or' to 'easily shaped and worked by hand.' These explicit textual clues provide unambiguous matches for each term.

Step-by-Step Solution

1

Locate the word 'cohesive' in the text and inspect the punctuation and transition words immediately following it.

The dash and the phrase 'that is' introduce the direct definition 'firmly bonded into a single unified mass.'

Writers frequently use dashes and 'that is' to restate an unfamiliar technical term with an accessible synonym.

2

Locate the word 'unblemished' and identify the explanatory clause attached to it.

The participle 'meaning' introduces the definition 'entirely free of cracks or surface defects.'

The word 'meaning' functions as an explicit signal that a synonymous explanation is following.

3

Locate the word 'malleable' and evaluate the parallel phrasing offset by commas.

The coordinating conjunction 'or' connects 'malleable' directly to 'easily shaped and worked by hand.'

The conjunction 'or' is often used to present a familiar synonym for a specialized word.

Key Concept

Identifying Synonymous Context Clues (Appositives, Restatement Markers, and Parallel Synonyms)

Alternative Method

Scan the passage directly for structural clue markers such as dashes, 'that is', 'meaning', and introductory 'or' to extract the definitions before evaluating the rest of the text.

Estimated Time:1m 0s

Question 4839Question →

Read the following technical passage and complete the statement below based directly on the provided facts.

Fill in the blanks below

Hydraulic accumulators in heavy transport aircraft store fluid under pressure to operate emergency brakes and landing gear. A flexible synthetic rubber bladder separates the hydraulic fluid from a sealed chamber of dry nitrogen gas. During preflight maintenance, technicians measure the nitrogen precharge pressure using a dedicated Schrader valve while the hydraulic system is fully depressurized. If the nitrogen precharge drops below 1,500 psi, the accumulator cannot deliver sufficient volume during rapid emergency extension cycles.

According to the passage, the hydraulic fluid is separated from the nitrogen gas chamber by a .

Show answer & explanation

Answer

synthetic rubber bladder (or flexible synthetic rubber bladder / rubber bladder / bladder)

The passage explicitly states: 'A flexible synthetic rubber bladder separates the hydraulic fluid from a sealed chamber of dry nitrogen gas.' Therefore, the synthetic rubber bladder is the exact component that performs this function.

Step-by-Step Solution

1

Scan the passage for keywords related to the separation between the hydraulic fluid and the nitrogen gas.

Found the explicit sentence: 'A flexible synthetic rubber bladder separates the hydraulic fluid from a sealed chamber of dry nitrogen gas.'

Direct fact retrieval requires locating the exact sentence that identifies the physical barrier.

2

Extract the specific component named in that sentence.

The text directly identifies the component as the flexible synthetic rubber bladder.

The question asks specifically for the component performing the separation as stated in the text.

Key Concept

Direct factual detail retrieval from a technical passage

Estimated Time:45s

Question 4840Question →

When the expression $\frac{(8.0 \times 10^4) \times (6.0 \times 10^{-7})}{1.5 \times 10^3}$ is evaluated and the result is written in standard scientific notation as $a \times 10^n$ , where $1 \le a < 10$ , what is the value of the integer $n$ ?

Show answer & explanation

Answer: -5

Answer

The exponent is -5.

Evaluating the numerator yields

48 \times 10^{-3}

. Dividing this by the denominator

1.5 \times 10^3

results in

32 \times 10^{-6}

. To write this in standard scientific notation, the coefficient must be strictly greater than or equal to 1 and strictly less than 10, so 32 is rewritten as

3.2 \times 10^1

. Applying this shift makes the final expression

3.2 \times 10^{-5}

. Thus, the final exponent

n

is -5.

Step-by-Step Solution

1

Multiply the expressions in the numerator

48 \times 10^{-3}

Following the order of operations, simplify the numerator first by multiplying the coefficients (

8.0 \times 6.0 = 48

) and adding the exponents of the base 10 (

4 + (-7) = -3

).

2

Divide by the denominator

32 \times 10^{-6}

Divide the resulting numerator's coefficient by the denominator's coefficient (

48 \div 1.5 = 32

) and subtract the denominator's exponent from the numerator's exponent (

-3 - 3 = -6

).

3

Normalize the coefficient to standard scientific notation

3.2 \times 10^{-5}

Standard scientific notation requires the coefficient (

a

) to be between 1 and 10. We rewrite

32

as

3.2 \times 10^1

. Multiplying this by the existing

10^{-6}

changes the overall exponent to

1 + (-6) = -5

.

4

Identify the final value of

n

-5

The question asks for the integer

n

from the format

a \times 10^n

. Comparing our final result

3.2 \times 10^{-5}

to this format,

n = -5

.

Key Concept

Operations with scientific notation and coefficient normalization

Answer

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Common Mistakes

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Common Mistakes

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