All practice questions

Complete the given number series by identifying the logical pattern.

Fill in the blanks below

In the number series

5, 10, 20, 35, 55, \dots

, the value of the missing term is .

Show answer & explanation

Answer

80

The terms increase by successive multiples of 5:

+5, +10, +15, +20

. Continuing this pattern, the next increment must be

+25

, giving

55 + 25 = 80

.

Step-by-Step Solution

1

Calculate the differences between consecutive terms in the series.

10 - 5 = 5

,

20 - 10 = 10

,

35 - 20 = 15

,

55 - 35 = 20

.

Finding the differences between consecutive terms helps identify the underlying sequence rule.

2

Determine the pattern governing the differences.

The differences form a sequence that increases by

5

at each step (

5, 10, 15, 20, \dots

).

The next difference must be

20 + 5 = 25

.

3

Add the calculated difference to the preceding term to obtain the missing value.

55 + 25 = 80

.

Adding the next difference of

25

to the fifth term (

55

) produces the sixth term.

Key Concept

Number Series Completion via Increasing Differences

Question 2Question →

Complete the given number series by determining the missing term that logically fits the sequence.

Fill in the blanks below

In the numerical series $6, 13, 27, 48, 76, $, the value of the missing term is .

Show answer & explanation

Answer

The missing term in the series is 111.

The differences between successive terms form an increasing sequence of multiples of 7:

+7, +14, +21, +28, \dots

The next difference must be

+35

. Adding

35

to

76

yields

111

.

Step-by-Step Solution

1

Calculate the first-order differences between consecutive terms in the series.

13 - 6 = 7

,

27 - 13 = 14

,

48 - 27 = 21

,

76 - 48 = 28

To identify the underlying pattern governing the progression of the sequence.

2

Analyze the sequence of differences.

The differences are

7, 14, 21, 28

, which form an arithmetic progression with a common difference of

7

(multiples of

7

).

To determine the next required addition to the sequence.

3

Determine the next difference and compute the missing term.

The next difference is

28 + 7 = 35

. Adding this to the last term gives

76 + 35 = 111

.

Applying the identified pattern yields the correct missing term.

Key Concept

Double Difference / Arithmetic Progression of Differences

Estimated Time:1m 0s

Question 3Question →

Determine the underlying double-pattern rule governing the alphanumeric series below and find the term that logically completes it.

Fill in the blanks below

In the sequence

Z12, X25, U52, Q107, L218, \dots

, the missing term that should replace the blank is .

Show answer & explanation

Answer

The missing term in the sequence is F441.

The sequence consists of two distinct intertwined logic rules: the letter component decreases positional value by progressive increments (-2, -3, -4, -5, -6), turning L (12th letter) into F (6th letter). The numerical component follows the recurrence formula

T_{n} = 2 \times T_{n-1} + (n-1)

, where the additive constant increases by 1 each step (+1, +2, +3, +4, +5), yielding

218 \times 2 + 5 = 441

. Combining both gives F441.

Step-by-Step Solution

1

Analyze the alphabetical component by converting letters to their corresponding numerical positions in the alphabet (A=1, B=2, ..., Z=26).

The letter sequence corresponds to positions: Z (26), X (24), U (21), Q (17), L (12).

Tracking positional values helps identify decremental positional shifts.

2

Determine the difference pattern between consecutive letter positions.

26 - 2 = 24 (X); 24 - 3 = 21 (U); 21 - 4 = 17 (Q); 17 - 5 = 12 (L). The positional shift decreases by consecutive integers (-2, -3, -4, -5).

The next shift must be -6, giving position 12 - 6 = 6, which corresponds to the letter F.

3

Analyze the numerical component of the series: 12, 25, 52, 107, 218.

12 × 2 + 1 = 25; 25 × 2 + 2 = 52; 52 × 2 + 3 = 107; 107 × 2 + 4 = 218.

The numerical pattern multiplies the preceding term by 2 and adds an incrementing integer starting from +1.

4

Calculate the next numerical term using the derived recurrence rule.

218 × 2 + 5 = 436 + 5 = 441.

Applying the next multiplier and additive step (×2 + 5) yields 441.

5

Combine the letter and number components.

The completed missing term is F441.

Combining the 6th letter 'F' and calculated number '441' forms the full missing term.

Key Concept

Interleaved positional decrements combined with linear multiplicative-additive recurrence relation.

Estimated Time:2m 0s

Question 4Question →

Determine the missing term that logically completes the given alphanumeric series.

Fill in the blanks below

Consider the following multi-pattern sequence: $$A0, D6, I24, P60, $$ What term should replace the blank to complete the series?

Show answer & explanation

Answer

The term that completes the series is Y120.

The sequence operates on two synchronized rules: the letter in the

n

-th position corresponds to the

n^2

-th letter of the alphabet (

1^2=1 \rightarrow A

,

2^2=4 \rightarrow D

,

3^2=9 \rightarrow I

,

4^2=16 \rightarrow P

,

5^2=25 \rightarrow Y

), while the numerical portion follows the cubic sequence

n^3 - n

(

1^3-1=0

,

2^3-2=6

,

3^3-3=24

,

4^3-4=60

,

5^3-5=120

). Combining both results in Y120.

Step-by-Step Solution

1

Analyze the pattern governing the letter component (

A, D, I, P, \dots

).

Alphabetical positions are

A=1, D=4, I=9, P=16

, which follow perfect squares

1^2, 2^2, 3^2, 4^2

.

Determining positional index patterns establishes the letter rule for the

n

-th term.

2

Determine the letter for the 5th term (

n=5

).

The position is

5^2 = 25

, corresponding to the letter

Y

.

Applying the identified square positional rule yields the 25th alphabet letter.

3

Analyze the pattern governing the numerical component (

0, 6, 24, 60, \dots

).

The numerical terms follow the polynomial formula

n^3 - n

for term indices

n = 1, 2, 3, 4

.

Evaluating differences (

6, 18, 36\dots

) reveals a cubic relation

n^3 - n

(

1^3-1=0, 2^3-2=6, 3^3-3=24, 4^3-4=60

).

4

Calculate the numerical value for

n=5

.

5^3 - 5 = 125 - 5 = 120

.

Substituting

n=5

into the cubic polynomial gives the 5th numerical term.

5

Combine the letter and numerical components.

The completed term is Y120.

Joining the 5th letter

Y

with the 5th numerical value

120

provides the final answer.

Key Concept

Alphanumeric Series Integration with Perfect Square Letter Indexing and Cubic Polynomial Sequences

Question 5Question →

Analyze the numerical progression below to determine the rule governing the sequence. What is the value of the missing term that completes the series?

Fill in the blanks below

Consider the series: $$7, 16, 41, 90, 171, $$

Show answer & explanation

Answer

The missing term that completes the sequence is 292.

The difference between successive terms follows the sequence of squares of consecutive odd numbers:

3^2 = 9

,

5^2 = 25

,

7^2 = 49

,

9^2 = 81

, and

11^2 = 121

. Adding

121

to

171

gives the missing term

292

.

Step-by-Step Solution

1

Calculate the differences between consecutive terms in the series.

16 - 7 = 9

,

41 - 16 = 25

,

90 - 41 = 49

,

171 - 90 = 81

Examining first-order differences helps uncover the underlying pattern.

2

Identify the mathematical relationship between the difference values.

The differences are

9, 25, 49, 81

, which correspond to

3^2, 5^2, 7^2, 9^2

.

The increments between consecutive terms represent the squares of consecutive odd integers starting from 3.

3

Calculate the next term in the sequence using the identified rule.

The next odd number after

9

is

11

, so the required increment is

11^2 = 121

. Adding this increment to the last given term gives

171 + 121 = 292

.

Applying the pattern's next step yields the correct missing term.

Key Concept

Series Completion using Differences of Squares of Consecutive Odd Numbers

Question 6Question →

Analyze the logical rule governing the given alphanumeric sequence and determine the missing term to complete the series.

Fill in the blanks below

Consider the following series:

$$C5, F12, J27, O51, , B133$$

The term that logically completes the sequence is .

Show answer & explanation

Answer

The missing term that logically completes the series is U86.

The series follows a dual pattern structure. The letter sequence shifts by increasing steps of

+3, +4, +5, +6, +7

, mapping

O

(position 15) to

U

(position 21). The numerical sequence exhibits a second-order difference pattern (

7, 15, 24, 35, 47

with underlying difference increase

+8, +9, +10, +11

), adding

35

to

51

to yield

86

. Thus, the correct combined term is U86.

Step-by-Step Solution

1

Analyze the pattern of the alphabetical component.

Alphabetical positions follow a sequence of increasing shifts:

+3, +4, +5, +6, +7

.

The alphabetical positions are

C = 3

,

F = 6

,

J = 10

, and

O = 15

. The differences between consecutive letter positions are

6 - 3 = +3

,

10 - 6 = +4

, and

15 - 10 = +5

. Continuing this progression, the next shift is

+6

, which gives

15 + 6 = 21

, corresponding to the letter

U

. Verification for the subsequent term gives position

21 + 7 = 28

, which wraps around the 26-letter alphabet to

28 - 26 = 2

, corresponding to

B

.

2

Analyze the pattern of the numerical component.

The differences between successive numerical terms form a secondary arithmetic sequence with a common difference of

+1

.

The numerical terms are

5, 12, 27, 51

. Taking the first differences between consecutive terms:

12 - 5 = 7

,

27 - 12 = 15

, and

51 - 27 = 24

. Taking the second differences:

15 - 7 = 8

and

24 - 15 = 9

. The second difference increases by

+1

at each step. Thus, the next first difference must be

24 + 10 = 34

, making the missing numerical term

51 + 35 = 86

. Verifying the final term: the next first difference is

35 + 11 = 46

(or

35 + 12 = 47

when tracking

7, 15, 24, 35, 47

with second differences

8, 9, 10, 11

), giving

86 + 47 = 133

.

3

Combine the alphabetical and numerical components.

The complete missing term is U86.

Combining the letter

U

with the number

86

yields the missing term

U86

.

Key Concept

Alphanumeric Series with Positional Shifts and Second-Order Differences

Estimated Time:2m 0s

Question 7Question →

Complete the given alphanumeric series by identifying the missing term that logically follows the established rules.

Fill in the blanks below

In the series

A4Z, C9X, F16U, J25Q, \dots

, the missing fifth term is .

Show answer & explanation

Answer

The correct missing term is O36L.

The term O36L correctly completes the series because the first letter advances by increasing forward steps (+2, +3, +4, +5 to reach O), the middle number follows the sequence of consecutive squares (

2^2, 3^2, 4^2, 5^2, 6^2 = 36

), and the last letter retreats by increasing backward steps (-2, -3, -4, -5 to reach L).

Step-by-Step Solution

1

Analyze the first letter pattern

The positional values in the forward alphabetical order are:

A(1) \xrightarrow{+2} C(3) \xrightarrow{+3} F(6) \xrightarrow{+4} J(10)

. The next increment must be

+5

, giving position

10 + 5 = 15

, which corresponds to the letter

O

.

The forward position shift increases by

+1

at each step.

2

Analyze the numerical middle term pattern

The numerical terms are perfect squares of consecutive integers starting from

2

:

2^2 = 4

,

3^2 = 9

,

4^2 = 16

,

5^2 = 25

. The next term is

6^2 = 36

.

The numerical sequence represents consecutive integer squares (

n^2

for

n = 2, 3, 4, 5, 6

)....

3

Analyze the last letter pattern

The positional values in reverse alphabetical order decrease as follows:

Z(26) \xrightarrow{-2} X(24) \xrightarrow{-3} U(21) \xrightarrow{-4} Q(17)

. The next decrement must be

-5

, giving position

17 - 5 = 12

, which corresponds to the letter

L

.

The backward position shift increases by

-1

at each step.

4

Combine the components

Combining the calculated parts yields the complete term:

O + 36 + L = O36L

.

Joining the first letter, middle number, and last letter produces the complete missing term.

Key Concept

Alphanumeric Series with Multi-layered Incremental Positional Shifts and Perfect Squares

Estimated Time:1m 30s

Question 8Question →

Complete the given alphanumeric series by determining the missing term.

Fill in the blanks below

In the series

B2D, E6G, H12J, K20M, \dots

, the term that logically follows next is .

Show answer & explanation

Answer

The term that logically completes the series is N30P.

The series consists of three independent patterns: the first letter advances by

+3

alphabetical positions (

B \rightarrow E \rightarrow H \rightarrow K \rightarrow N

), the middle number follows a difference pattern of

+4, +6, +8, +10

(

20 + 10 = 30

), and the third letter advances by

+3

alphabetical positions (

D \rightarrow G \rightarrow J \rightarrow M \rightarrow P

). Combining these results gives N30P.

Step-by-Step Solution

1

Analyze the pattern of the first letters in each term.

The first letters are

B, E, H, K

. Their alphabetical positions are

2, 5, 8, 11

, which increase by

+3

each time (

2+3=5, 5+3=8, 8+3=11

). The next position is

11 + 3 = 14

, corresponding to letter

N

.

To establish the positional shift pattern for the first component.

2

Analyze the pattern of the middle numerical values.

The sequence of numbers is

2, 6, 12, 20

. The differences between consecutive terms are

6-2=4

,

12-6=6

, and

20-12=8

. The differences increase by

+2

each time (

4, 6, 8

). Therefore, the next difference must be

8 + 2 = 10

. The next number is

20 + 10 = 30

.

To determine the double-difference rule governing the numerical values.

3

Analyze the pattern of the third letters in each term.

The third letters are

D, G, J, M

. Their alphabetical positions are

4, 7, 10, 13

, which increase by

+3

each time (

4+3=7, 7+3=10, 10+3=13

). The next position is

13 + 3 = 16

, corresponding to letter

P

.

To establish the positional shift pattern for the final component.

4

Combine the components to form the final term.

Combining the first letter (

N

), the number (

30

), and the last letter (

P

) yields

N30P

.

Synthesizing the three independent patterns into a single term.

Key Concept

Alphanumeric Series Pattern Analysis

Estimated Time:1m 0s

Question 9Question →

Read the passage excerpt on behavioral economics carefully and fill in the blank with the most appropriate word that contextually denotes widespread acceptance or general prevalence within academic discourse.

Fill in the blanks below

In contemporary behavioral economics, the hypothesis that human decision-making is strictly rational has lost its former , as empirical studies increasingly demonstrate the pervasive influence of cognitive biases on consumer choice.

Show answer & explanation

Answer

currency

In this contextual setting, 'currency' refers to the state of being generally accepted, prevalent, or widely believed in scholarly discourse. The author uses it to describe how the rational actor model previously enjoyed widespread academic endorsement before behavioral research challenged its dominance.

Step-by-Step Solution

1

Analyze the passage context and thematic direction

The text explains that a traditional economic hypothesis about rational decision-making is declining in popularity and general acceptance due to new empirical findings.

Understanding the contextual contrast between past acceptance and current skepticism is necessary to identify the missing term.

2

Determine the contextual meaning required for the blank

The blank requires a noun that signifies widespread endorsement, general acceptance, or prevalence of an idea within academic circles.

Beyond its monetary sense, 'currency' figuratively denotes the state of being widely accepted, circulated, or believed.

Key Concept

Contextual Word Meaning and Figurative Usage

Question 10Question →

Read the passage excerpt below regarding early modern architectural history carefully and identify the word that best completes the blank in accordance with the author's intended contextual meaning. Which word most appropriately fills the blank in the passage?

Fill in the blanks below

In analyzing the historical development of early modern public architecture, historians often debate whether civic planners actively embraced egalitarian principles or merely catered to aristocratic patronage. While superficial records suggest widespread egalitarian ideals, meticulous archival examination reveals that prominent Renaissance architects did not unconditionally to democratic design philosophies. Rather, their primary motivation remained securing lavish patronage by blending classical grandeur with aristocratic symbolism, thereby limiting genuine public utility.

Show answer & explanation

Answer

The word 'subscribe' correctly completes the sentence, as in this formal context it means to endorse, assent to, or support a principle or philosophy.

The correct word 'subscribe' is used here in its formal academic sense, meaning to endorse, support, or hold a particular philosophy or belief system. The passage explains that while records seemed to show democratic ideals, architects did not actually endorse or adhere unconditionally to democratic design principles.

Step-by-Step Solution

1

Analyze the context surrounding the blank in the passage.

The text contrasts 'superficial records' hinting at egalitarian ideals with actual archival evidence showing architects' reliance on aristocratic patronage.

Understanding the structural contrast ('While... reveals that...') clarifies the missing word's intended relationship to 'democratic design philosophies'.

2

Determine the contextual meaning required for the prepositional phrase 'to democratic design philosophies'.

The passage requires a verb that denotes intellectual agreement, endorsement, or adherence to a system of thought.

The sentence addresses whether architects held or endorsed specific philosophical views.

3

Select the formal term that conveys endorsement of an opinion or doctrine.

The verb 'subscribe' when followed by 'to' specifically means to give assent to or express agreement with an idea or belief.

'Subscribe to' fits both the formal register of the passage and the exact semantic requirement of intellectual endorsement.

Key Concept

Contextual Word Meaning and Philosophical Endorsement

Estimated Time:1m 30s

Question 11Question →

Read the passage excerpt below regarding telecommunications market regulation carefully. Which contextual vocabulary term best completes the blank to convey the author's intended meaning?

Fill in the blanks below

In evaluating competitive market dynamics within the telecommunications sector, the regulatory commission determined that unhindered predatory pricing by the incumbent state operator would ultimately the financial viability of nascent private providers, thereby restricting long-term consumer choice.

Show answer & explanation

Answer

The correct contextual word to complete the blank is 'compromise'.

In this public policy context, 'compromise' functions as a verb meaning to put in jeopardy, undermine, or endanger. The passage highlights how aggressive pricing tactics by a dominant firm threaten the financial survival of smaller competitors, making 'compromise' the exact contextual fit.

Step-by-Step Solution

1

Analyze the surrounding context and tone of the passage excerpt.

The text discusses predatory pricing by an incumbent operator and its negative impact on nascent private providers, leading to restricted consumer choice.

Determining the relationship between predatory pricing and financial viability establishes whether a term indicating harm or protection is needed.

2

Evaluate the precise contextual meaning required for the blank.

The missing word must mean 'to endanger, weaken, or imperil' rather than its common usage of 'reaching a mutual settlement'.

In formal policy and vocabulary contexts, 'compromise' specifically denotes exposing something to risk or hazard.

3

Confirm word fit and sentence coherence.

Inserting 'compromise' correctly completes the clause: predatory pricing would endanger the financial viability of new market entrants.

The word aligns seamlessly with the author's focus on market entry barriers and reduced consumer choice.

Key Concept

Vocabulary in Context and Contextual Word Meanings

Estimated Time:1m 0s

Question 12Question →

Read the following passage carefully:

"In evaluating the post-crisis performance of local expenditure frameworks, institutional economists frequently scrutinize the phenomenon of administrative sclerosis. Rather than denoting a literal medical degeneration of bodily tissue, the term in this fiscal context designates the progressive rigidity of bureaucratic organs under the accumulation of entrenched interest group demands and procedural inertia. As regulatory layers multiply over successive legislative cycles, local authorities become increasingly incapable of reallocating budgetary resources to emergent socio-economic priorities. Consequently, what appears on the surface as mere fiscal inefficiency is, at root, a structural decay of administrative adaptability, where procedural compliance completely eclipses substantive public policy outcomes."

Based on the passage, complete the statement below by identifying the exact contextual meaning of the term sclerosis.

Fill in the blanks below

In the context of the passage, administrative 'sclerosis' specifically refers to caused by entrenched interests and procedural inertia.

Show answer & explanation

Answer

In the passage, 'sclerosis' contextually means structural inflexibility or administrative rigidity resulting from entrenched demands and procedural inertia.

The correct answer captures the author's explicit characterization of sclerosis as 'progressive rigidity' and a 'decay of administrative adaptability' within bureaucratic institutions.

Step-by-Step Solution

1

Analyze the literal versus contextual usage of the target word.

The text explicitly explicitly contrasts the literal medical definition ('degeneration of bodily tissue') with its fiscal application.

Contextual vocabulary questions require isolating how an author repurposes a term figuratively within a specific discipline.

2

Examine surrounding textual evidence for definitive clues.

The text defines the phenomenon as 'progressive rigidity of bureaucratic organs' and 'structural decay of administrative adaptability'.

These supporting phrases directly elaborate on the operational meaning of sclerosis in public administration.

3

Synthesize the core contextual meaning into a precise phrase.

The term denotes structural inflexibility or administrative rigidity.

This accurately captures the author's emphasis on lost adaptability due to procedural inertia.

Key Concept

Vocabulary in Context and Contextual Word Meanings

Estimated Time:2m 0s

Question 13Question →

Read the passage excerpt below and fill in the blank with the word that best preserves the contextual meaning intended by the author.

Fill in the blanks below

In administrative governance, policy analysts frequently caution against structural , noting that over-codified regulatory frameworks established during stable periods tend to turn rigid and fail to adapt when sudden socio-economic disruptions occur.

Show answer & explanation

Answer

The word 'ossification' (or contextual synonyms such as 'rigidity' or 'inflexibility') correctly completes the sentence by describing the process of regulatory frameworks becoming hardened and unyielding.

The correct response captures the idea of administrative rules turning fixed and inflexible, as indicated by surrounding clues such as 'over-codified' and 'rigid'. Terms like 'ossification' or 'inflexibility' convey this precise contextual meaning of system hardening.

Step-by-Step Solution

1

Analyze the structural context and tone of the passage.

The text discusses regulatory frameworks becoming 'over-codified', turning 'rigid', and failing to adapt to sudden disruptions.

Identifying textual clues like 'over-codified' and 'rigid' reveals the target word's required nuance of structural hardening or unyielding permanence.

2

Select a vocabulary term that directly means becoming fixed, rigid, or unable to change in an institutional context.

'Ossification' literally means hardening into bone and figuratively describes an inflexible, unyielding system or administrative process.

Using 'ossification' precisely completes the passage's critique of over-regulated policy mechanisms.

Key Concept

Contextual Word Meaning and Figurative Usage in Governance Texts

Estimated Time:1m 30s

Question 14Question →

Read the passage carefully and fill in the blank with the term that accurately reflects the contextual meaning of the highlighted word in the text.

Fill in the blanks below

Passage:

During routine fiscal audits of regional public infrastructure projects, administrative officers are tasked with evaluating complex financial disclosures submitted by local municipal authorities. When reviewing discretionary spending allocations, auditors must meticulously examine the integrity of all digital and paper transaction records. While in everyday colloquial discourse the term primarily denotes personal moral uprightness or adherence to ethical standards, in the technical domain of administrative auditing and records verification, it refers strictly to the structural soundness, completeness, and uncorrupted condition of the data. A system's record-keeping is considered reliable only when every entry remains intact, unaltered, and fully verifiable across all stages of governance.

Based on the passage above, the word 'integrity' when applied to transaction records specifically refers to their structural .

Show answer & explanation

Answer

In the context of the passage, the word 'integrity' refers to the structural soundness or completeness of the data records.

The passage explicitly states that in the domain of administrative auditing, 'integrity' refers strictly to the structural soundness, completeness, and uncorrupted condition of data rather than personal moral virtue.

Step-by-Step Solution

1

Locate the target word 'integrity' within the passage.

Identified the sentence discussing the examination of the 'integrity' of digital and paper transaction records.

Contextual meaning must be derived directly from surrounding textual evidence.

2

Contrast the common literal usage with the specific domain definition provided by the author.

The text explicitly contrasts 'personal moral uprightness' (everyday meaning) with 'structural soundness, completeness, and uncorrupted condition' (auditing meaning).

Standard PSC aptitude questions often test technical/contextual shifts away from primary colloquial meanings.

3

Select the appropriate word that accurately fills the blank.

'soundness' or 'completeness' directly matches the author's precise contextual definition.

The blank requires a term capturing the structural condition of the records as defined in the text.

Key Concept

Vocabulary in Context and Contextual Word Meanings

Question 15Question →

Read the excerpt below from an essay on diplomatic history and boundary dispute resolution. Based on the passage context, which word best fills the blank to denote freedom of action or discretionary scope?

Fill in the blanks below

During late nineteenth-century international boundary arbitrations, tribunal members frequently encountered discrepancies between outdated cartographic records and actual physical topographies. Rather than enforcing rigid territorial demarcations, the commission recognized that insistence on absolute textual precision would prove counterproductive given the flawed nature of prior surveys. Consequently, the final treaty instruments were drafted to afford considerable to local commissioners tasked with adjusting borders on the ground.

Show answer & explanation

Answer

The term 'latitude' (along with acceptable contextual synonyms such as 'leeway', 'discretion', or 'flexibility') correctly completes the sentence by denoting the scope of freedom or decision-making power granted to officials.

In administrative, diplomatic, and legal discourse, 'latitude' refers to the degree of freedom, scope for independent judgment, or discretionary leeway allowed to an authority. The passage indicates that because cartographic records were unreliable, commissioners were given operational freedom to adjust boundaries on site.

Step-by-Step Solution

1

Analyze the passage context and contrast markers.

The text contrasts 'rigid territorial demarcations' and 'absolute textual precision' with a more adaptable administrative approach.

Identifying contrast markers helps clarify what quality was being given to the local commissioners.

2

Determine the functional role of the missing word in the sentence.

The missing word describes the degree of authority or freedom provided to local commissioners to make on-the-ground border adjustments.

The sentence states that because prior surveys were flawed, commissioners needed room to maneuver rather than strict rules.

3

Select the word that represents secondary contextual meaning over literal definition.

While 'latitude' commonly refers to geographic coordinate lines, its secondary figurative meaning in formal governance signifies room for independent action or freedom from narrow restriction.

In administrative and legal contexts, 'latitude' precisely conveys permitted operational flexibility.

Key Concept

Contextual Word Meanings and Figurative/Secondary Definitions

Question 16Question →

Read the passage excerpt below on technology policy and choose the most appropriate contextual word to complete the text, ensuring it accurately reflects the passage's emphasis on placing legal boundaries on corporate power.

Fill in the blanks below

In contemporary discussions regarding digital governance, regulatory bodies struggle to address the rapid expansion of algorithmic decision-making. While technology conglomerates advocate for voluntary industry guidelines, legal scholars maintain that binding statutory frameworks are necessary to corporate authority and prevent systemic abuses of consumer privacy. In this regulatory context, the missing word specifically refers to imposing strict limits, conditions, or boundaries upon power, rather than invalidating or eliminating it entirely.

Show answer & explanation

Answer

The most appropriate contextual word for {{blank_1}} is 'circumscribe' (or synonyms such as 'curtail', 'check', 'restrict', or 'qualify').

The correct answer 'circumscribe' (or acceptable synonyms like 'curtail', 'check', or 'restrict') correctly aligns with the author's intent to describe imposing legal limits and boundaries on corporate power without destroying it completely.

Step-by-Step Solution

1

Analyze the surrounding context of the sentence.

The text contrasts 'voluntary industry guidelines' with 'binding statutory frameworks' designed to prevent 'systemic abuses of consumer privacy'.

Context clues indicate that legal mechanisms are meant to establish boundaries and control over corporate authority.

2

Examine the specific contextual constraint in the follow-up sentence.

The passage explicitly notes that the word means 'imposing strict limits, conditions, or boundaries upon power, rather than invalidating or eliminating it entirely.'

This excludes words that imply total destruction (e.g., 'annihilate' or 'abolish') and requires a term signifying restriction or boundary-setting.

3

Select the precise vocabulary term matching the formal regulatory tone.

'Circumscribe' (or 'curtail' / 'check' / 'restrict') accurately captures the concept of drawing a perimeter around or placing boundaries on authority.

It maintains the formal academic tone of the CSAT passage while adhering strictly to the textual definition provided.

Key Concept

Identifying Contextual Word Meanings and Syntactic Precision

Question 17Question →

Read the excerpt below regarding institutional governance. Which word best completes the blank to convey the contextual meaning of limiting or restraining power?

Fill in the blanks below

In a constitutional governance framework, independent oversight mechanisms serve to the arbitrary exercise of executive authority, thereby preserving balance among state institutions.

Show answer & explanation

Answer

The word 'check' (or equivalent terms such as 'curb', 'restrain', or 'limit') correctly completes the sentence by conveying the meaning of halting or controlling arbitrary executive power.

The correct response 'check' (or synonymous terms like 'curb' or 'restrain') accurately reflects the passage's intent to describe how oversight bodies limit executive overreach to maintain institutional equilibrium.

Step-by-Step Solution

1

Analyze the context of the sentence

The passage discusses independent oversight mechanisms and their role in preventing executive authority from exceeding boundaries.

Determining the surrounding logical context is essential for finding the appropriate word meaning.

2

Identify the required contextual function of the missing word

The verb must describe an action that stops, limits, or keeps executive authority within statutory boundaries.

Oversight bodies exist to restrict unchecked power rather than expand or ignore it.

3

Select the term that fits the formal context

The word 'check' in this context means to restrain or hold in bounds.

'Check' directly fulfills the passage requirement of institutional checks and balances.

Key Concept

Understanding contextual word meanings in administrative and constitutional governance texts

Question 18Question →

Read the passage on environmental resource governance below and determine the precise word that completes the text according to its contextual meaning. Based on the passage, which word correctly fills the blank?

Fill in the blanks below

In evaluating state-level ecological interventions, the advisory council observed that regional administration must timber reserves prudently to prevent premature depletion while supporting sustainable local livelihoods.

Show answer & explanation

Answer

The correct word to fill the blank is 'husband', which in formal contextual usage means to manage or conserve resources carefully and frugally.

The verb 'husband' means to manage or conserve resources economically and prudently. This fits the surrounding textual indicators emphasizing sustainability and prevention of premature depletion.

Step-by-Step Solution

1

Analyze the passage context surrounding the blank

The text discusses prudent resource management designed to 'prevent premature depletion while supporting sustainable local livelihoods.'

The surrounding clues ('prudently', 'prevent premature depletion', 'sustainable') indicate a need for a verb that signifies careful, frugal management of resources.

2

Identify the formal contextual verb meaning

The verb 'husband' precisely means to manage, conserve, or use resources economically.

In administrative and economic prose, 'husband' functions as a transitive verb denoting prudent stewardship.

Key Concept

Vocabulary in Context and Contextual Word Meanings

Estimated Time:1m 30s

Question 19Question →

Complete the given numerical series by identifying the term that logically follows.

Fill in the blanks below

In the numerical sequence

3, 7, 11, 15, 19, \dots

, the term that completes the blank is .

Show answer & explanation

Answer

The next term in the sequence is 23.

Each consecutive term in the given series increases by a fixed constant of

4

(

3 + 4 = 7

,

7 + 4 = 11

,

11 + 4 = 15

,

15 + 4 = 19

). Adding

4

to

19

gives the correct term,

23

.

Step-by-Step Solution

1

Find the difference between consecutive terms in the sequence.

7 - 3 = 4

,

11 - 7 = 4

,

15 - 11 = 4

, and

19 - 15 = 4

.

Determining the common difference helps uncover the underlying arithmetic rule of the sequence.

2

Add the constant difference of 4 to the last term given (

19

).

19 + 4 = 23

.

Applying the identified rule (+4) yields the logical next term of the series.

Key Concept

Arithmetic Number Series with Constant Difference

Estimated Time:30s

Question 20Question →

Determine the missing values to logically complete the given numerical sequence.

Fill in the blanks below

In the sequence $3, 8, 18, 38, , 158, $, the first missing term is and the second missing term is .

Show answer & explanation

Answer

The first missing term is 78 and the second missing term is 318.

The pattern governing the sequence can be defined recursively as

a_{n+1} = 2a_n + 2

. Following

38

, the term is

(38 \times 2) + 2 = 78

. Following

158

, the term is

(158 \times 2) + 2 = 318

. Alternatively, observing the difference between consecutive terms shows

+5, +10, +20, +40, +80, +160

, yielding

38 + 40 = 78

and

158 + 160 = 318

.

Step-by-Step Solution

1

Analyze the rule connecting consecutive terms in the sequence

Each term is generated by multiplying the preceding term by

2

and adding

2

:

(3 \times 2) + 2 = 8

,

(8 \times 2) + 2 = 18

, and

(18 \times 2) + 2 = 38

. Alternatively, the differences between successive terms double each step (

+5, +10, +20, \dots

).

Identifying the mathematical operational relationship allows computing unknown terms.

2

Calculate the value for the first blank following

38

(38 \times 2) + 2 = 76 + 2 = 78

(or

38 + 40 = 78

).

Applying the identified rule to

38

yields the first missing term.

3

Verify the calculated value against the given term

158

(78 \times 2) + 2 = 156 + 2 = 158

(or

78 + 80 = 158

).

Ensures consistency across the pattern before proceeding to the final term.

4

Calculate the value for the second blank following

158

(158 \times 2) + 2 = 316 + 2 = 318

(or

158 + 160 = 318

).

Applying the operational rule to

158

yields the second missing term.

Key Concept

Mixed Arithmetic Series and Double Difference Progression

Estimated Time:1m 15s

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