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CSD Officer Aptitude study materials
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CSD Officer Aptitude practice questions

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Question 1Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: Choose the option that represents the most logical deduction based on the following statements: All Correctional Services Department (CSD) officers must undergo training at the Staff Training Institute (STI). Officer Leung is a CSD officer. Officer Chan is undergoing training at the STI.

  1. Officer Leung must have undergone training at the STI, but Officer Chan is not necessarily a CSD officer. Correct answer.
  2. Officer Chan must be a CSD officer, but Officer Leung is not necessarily trained at the STI.
  3. Both Officer Leung and Officer Chan are definitely CSD officers who have completed their training.
  4. Neither Officer Leung nor Officer Chan can be confirmed to have any association with the STI.

Explanation

Since all CSD officers must undergo training at the STI, and Officer Leung is a CSD officer, Leung must have undergone STI training. However, the rule does not state that *only* CSD officers train at the STI (e.g., other department personnel or international visitors might also train there), so we cannot definitively conclude that Officer Chan is a CSD officer.

Question 2Integrated english, quant, formal, professional, spatial foundations

Sentence Completion: Select the most appropriate word to fill in the blank: The primary objective of the Correctional Services Department's custody management is to ensure a secure and _______ environment, reducing the risk of escape while promoting rehabilitation.

  1. orderly Correct answer.
  2. hostile
  3. haphazard
  4. lax

Explanation

In correctional settings, maintaining an 'orderly' environment is a core professional objective, ensuring safety, discipline, and routine. Words like hostile, haphazard, or lax run contrary to the mission and operational guidelines of the CSD.

Question 3Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: Read the passage and identify the most direct inference. 'CSD implements a three-tier management system for monitoring inmates prone to self-harm. Level 1 involves continuous observation, Level 2 requires 15-minute interval checks, and Level 3 requires 30-minute interval checks.'

  1. Inmates classified under Level 1 receive the most intensive supervision. Correct answer.
  2. Level 3 inmates are considered the highest risk for self-harm.
  3. All inmates in maximum security are automatically placed on Level 1 supervision.
  4. Level 2 observation requires continuous CCTV monitoring without physical checks.

Explanation

Continuous observation (Level 1) is the most frequent and close observation type, meaning Level 1 inmates receive the most intensive supervision. The other options contradict the passage or introduce facts not stated.

Question 4Integrated english, quant, formal, professional, spatial foundations

Error Identification: Identify the underlined segment that contains a grammatical or lexical error: 'The Superintendent (A) requested that all principal officers (B) submits their weekly reports (C) by Friday afternoon (D).'

  1. requested that
  2. submits their Correct answer.
  3. by Friday afternoon
  4. The Superintendent

Explanation

The verb 'submits' is incorrect because the sentence uses a subjunctive clause ('requested that...'). The base form of the verb 'submit' should be used instead: 'requested that all principal officers submit their weekly reports'.

Question 5Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: If the statement 'No contraband is permitted inside the reception center' is true, which of the following statements must also be true?

  1. If an item is inside the reception center, it is not contraband. Correct answer.
  2. All items inside the reception center are contraband.
  3. Some contraband is permitted inside the reception center under supervision.
  4. If an item is not permitted inside the reception center, it must be contraband.

Explanation

If no contraband is permitted inside, then any item that is successfully inside the reception center must logically not be contraband (assuming rules are not violated). This is the contrapositive deduction: if contraband -> not inside; therefore, if inside -> not contraband.

Question 6Integrated english, quant, formal, professional, spatial foundations

Sentence Completion: Select the best phrase to complete the sentence: 'An officer must maintain absolute professional distance from inmates, _______ showing any personal bias or establishing unauthorized relationships.'

  1. thereby avoiding Correct answer.
  2. consequently encouraging
  3. nevertheless initiating
  4. subsequently permitting

Explanation

'Thereby avoiding' correctly completes the sentence by explaining that maintaining a professional distance is the method by which officers avoid personal bias and unauthorized relationships.

Question 7Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: Determine which statement logically follows: Most CSD officers who work in maximum-security prisons are members of the Tactical Response Unit (TRU). Some TRU members are trained in negotiation techniques. All officers trained in negotiation techniques are bilingual.

  1. Some bilingual officers are members of the TRU. Correct answer.
  2. All bilingual officers work in maximum-security prisons.
  3. All TRU members work in maximum-security prisons.
  4. No bilingually trained negotiation officers work in CSD.

Explanation

Since some TRU members are trained in negotiation, and all negotiation officers are bilingual, it follows that those TRU members trained in negotiation are bilingual. Thus, some bilingual officers are indeed members of the TRU.

Question 8Integrated english, quant, formal, professional, spatial foundations

Error Identification: Identify the underlined segment that contains a grammatical or lexical error: 'Neither the Principal Officer (A) nor the duty officers (B) was aware (C) of the scheduled power maintenance (D).'

  1. Neither the Principal Officer
  2. nor the duty officers
  3. was aware Correct answer.
  4. of the scheduled

Explanation

In 'neither... nor...' structures, the verb must agree with the subject closest to it. Here, 'duty officers' is plural, so the verb should be plural 'were aware' instead of singular 'was aware'.

Question 9Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: Assume these statements are true: 'If an inmate is in solitary confinement, they cannot attend group vocational training. Inmate Mok is attending group vocational training.' What is the logical conclusion?

  1. Inmate Mok is not in solitary confinement. Correct answer.
  2. Inmate Mok is in solitary confinement but has a special pass.
  3. All inmates not in solitary confinement are attending group vocational training.
  4. Inmate Mok is ready for release from the reception center.

Explanation

By contraposition: If Inmate -> Solitary -> Cannot attend training. Mok is attending training (not 'cannot attend'). Therefore, Mok is not in solitary confinement.

Question 10Integrated english, quant, formal, professional, spatial foundations

Sentence Completion: Select the most logical connective to complete the sentence: 'The inmate's request for an additional visit was denied _______ it exceeded the monthly quota established by the Prison Rules.'

  1. inasmuch as Correct answer.
  2. notwithstanding
  3. on the contrary
  4. subsequent to

Explanation

'Inasmuch as' means 'since' or 'because', which correctly establishes the cause-and-effect relationship between the quota violation and the visit denial.

Question 11Integrated english, quant, formal, professional, spatial foundations

For this fictional logical model only, use the following premises, not as real correctional policy: Verbal Logic: Analyze the argument: 'All high-risk inmates are housed in Stanley Prison. Some inmates in Stanley Prison participate in the leatherwork workshop. Therefore, some high-risk inmates participate in the leatherwork workshop.' Is this argument logically valid?

  1. No, because the inmates participating in the workshop might be low-risk inmates who also happen to be housed in Stanley Prison. Correct answer.
  2. Yes, because all inmates in Stanley Prison are high-risk inmates by definition.
  3. Yes, because 'some' always implies a positive intersection between the two subsets.
  4. No, because leatherwork is not a vocational activity allowed for high-risk inmates.

Explanation

This is a classic syllogism error. Just because all high-risk inmates are in Stanley, and some Stanley inmates do leatherwork, it does not follow that the ones doing leatherwork are high-risk. They could be part of the non-high-risk population housed at the same prison.

Question 12Integrated english, quant, formal, professional, spatial foundations

Error Identification: Identify the underlined segment that contains a grammatical or lexical error: 'The duty officer observed (A) the inmate concealing (B) a sharp object beneath his mattress (C) during conducting the routine search (D).'

  1. observed
  2. concealing
  3. beneath his mattress
  4. during conducting the Correct answer.

Explanation

'During conducting the' is grammatically incorrect. It should be simplified to 'while conducting the' or 'during the routine search'. Using 'during' directly followed by a gerund verb phrase is ungrammatical here.

Question 13Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: A CSD report states: 'If we increase vocational training options, inmate disciplinary problems will decrease. If inmate disciplinary problems decrease, staff morale will improve.' Which of the following must be true based on these statements?

  1. If we increase vocational training options, staff morale will improve. Correct answer.
  2. If staff morale improves, it means vocational training options were increased.
  3. If we do not increase vocational training options, staff morale will not improve.
  4. If disciplinary problems do not decrease, we cannot increase vocational training.

Explanation

This is a hypothetical syllogism: A -> B, and B -> C. Therefore, A -> C (Increasing vocational training -> staff morale improves).

Question 14Integrated english, quant, formal, professional, spatial foundations

Sentence Completion: Select the most appropriate word: 'To prevent the introduction of contraband, officers must conduct searches with utmost _______, leaving no area of the cell unexamined.'

  1. meticulousness Correct answer.
  2. indifference
  3. haste
  4. leniency

Explanation

Conducting searches with 'meticulousness' means being extremely careful, precise, and thorough, which aligns perfectly with 'leaving no area of the cell unexamined.'

Question 15Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: 'Some officers are trained in crisis intervention. No untrained staff members are permitted in the negotiation zone.' If these premises are true, which of the following is a valid conclusion?

  1. Only officers trained in crisis intervention or other relevant fields are permitted in the negotiation zone. Correct answer.
  2. All officers trained in crisis intervention are permitted in the negotiation zone.
  3. No officers are permitted in the negotiation zone.
  4. Untrained staff members are allowed in the negotiation zone under supervision.

Explanation

Since 'No untrained staff members are permitted in the negotiation zone,' it logically follows that everyone permitted in the zone must be trained. Thus, only trained staff (including officers trained in crisis intervention or other fields) are permitted.

Question 16Integrated english, quant, formal, professional, spatial foundations

Error Identification: Identify the underlined segment that contains a grammatical or lexical error: 'The Commissioner (A) emphasized that the rehabilitation of (B) offenders is as important as (C) their custody (D).'

  1. The Commissioner
  2. rehabilitation of
  3. as important as
  4. them custody Correct answer.

Explanation

'Them custody' is incorrect because a possessive determiner 'their' is required before the noun 'custody' to show parallel structure: 'the rehabilitation of offenders is as important as their custody.'

Question 17Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: Consider this statement: 'Unless the inmate receives medical clearance, they cannot participate in physical work.' Which of the following is logically equivalent?

  1. If the inmate participates in physical work, they must have received medical clearance. Correct answer.
  2. If the inmate receives medical clearance, they must participate in physical work.
  3. If the inmate does not participate in physical work, they did not receive medical clearance.
  4. Medical clearance is not necessary for physical work participation.

Explanation

'Unless A, B' means 'If not A, then B'. Here, 'Unless clearance (A), not participate (B)' translates to 'If not clearance -> not participate'. The contrapositive of this is 'If participate -> clearance', which is option 0.

Question 18Integrated english, quant, formal, professional, spatial foundations

Sentence Completion: Select the best word to complete the sentence: 'The Security Section is responsible for preventing the flow of illicit items into the facility, thereby _______ the safety of both staff and inmates.'

  1. jeopardizing
  2. preserving Correct answer.
  3. complicating
  4. undermining

Explanation

Preventing the flow of illicit items (contraband) helps in 'preserving' (keeping safe, protecting) the security and safety of the institution. Words like jeopardizing, complicating, or undermining mean the opposite.

Question 19Integrated english, quant, formal, professional, spatial foundations

Verbal Logic: A rule states: 'Only officers who have completed the advanced training program are assigned to the Emergency Response Team (ERT).' Based on this, which of the following is true?

  1. If Officer Wong is on the ERT, he must have completed the advanced training program. Correct answer.
  2. If Officer Chan has completed the advanced training program, he must be assigned to the ERT.
  3. All officers who have completed the advanced training program are on the ERT.
  4. No officer who has completed the advanced training program is on the ERT.

Explanation

'Only A are B' means B is a subset of A. Therefore, if someone is in B (on the ERT), they must be in A (have completed the advanced training program).

Question 20Integrated english, quant, formal, professional, spatial foundations

Error Identification: Identify the underlined segment that contains a grammatical or lexical error: 'The duty supervisor (A) has already (B) distributed the shift roster (C) to we officers (D).'

  1. The duty supervisor
  2. has already
  3. distributed the
  4. to we officers Correct answer.

Explanation

'To we officers' is grammatically incorrect because 'we' is a subject pronoun. It should be replaced with the object pronoun 'us': 'to us officers'.

Question 21Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: If a correctional facility has an inmate-to-officer ratio of 6:1 on the day shift and there are 240 inmates, how many officers are on duty?

  1. 40 Correct answer.
  2. 30
  3. 60
  4. 48

Explanation

If the ratio is 6:1, then for every 6 inmates, there is 1 officer. With 240 inmates, the number of officers is calculated as 240 / 6 = 40 officers.

Question 22Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: In 2024, a rehabilitation program had 150 participants. In 2025, the number of participants increased to 180. What was the percentage increase in participants?

  1. 20% Correct answer.
  2. 30%
  3. 25%
  4. 15%

Explanation

The increase in participants is 180 - 150 = 30. The percentage increase is (30 / 150) * 100% = 0.20 * 100% = 20%.

Question 23Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: Complete the number series: 4, 9, 19, 39, 79, _______.

  1. 159 Correct answer.
  2. 149
  3. 169
  4. 158

Explanation

The pattern in the series is that each number is multiplied by 2 and then 1 is added: (4 * 2) + 1 = 9; (9 * 2) + 1 = 19; (19 * 2) + 1 = 39; (39 * 2) + 1 = 79. The next number is (79 * 2) + 1 = 158 + 1 = 159.

Question 24Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: A prison kitchen prepares 3 meals a day for 800 inmates. If the daily food cost per inmate is HKD 45, what is the total weekly food expenditure for the entire facility?

  1. HKD 252,000 Correct answer.
  2. HKD 36,000
  3. HKD 180,000
  4. HKD 216,000

Explanation

The daily food cost for 800 inmates is 800 * HKD 45 = HKD 36,000. For a week (7 days), the total cost is HKD 36,000 * 7 = HKD 252,000.

Question 25Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: Of the 120 inmates in block C, 40% are enrolled in vocational education, 35% in academic courses, and the rest are assigned to maintenance work. How many inmates are assigned to maintenance work?

  1. 30 Correct answer.
  2. 48
  3. 42
  4. 36

Explanation

The percentage of inmates in vocational and academic education combined is 40% + 35% = 75%. The remaining percentage assigned to maintenance is 100% - 75% = 25%. The number of inmates is 120 * 25% = 30.

Question 26Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: Complete the number series: 120, 114, 105, 93, 78, _______.

  1. 60 Correct answer.
  2. 63
  3. 65
  4. 58

Explanation

The difference between consecutive numbers increases by 3: 120 - 6 = 114; 114 - 9 = 105; 105 - 12 = 93; 93 - 15 = 78. The next step is to subtract 18: 78 - 18 = 60.

Question 27Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: An officer patrols a square perimeter of 1.2 kilometers on each side. If he walks at a constant speed of 4 kilometers per hour, how many minutes will it take him to complete one full round of the perimeter?

  1. 72 minutes Correct answer.
  2. 18 minutes
  3. 36 minutes
  4. 48 minutes

Explanation

A square perimeter has 4 sides, so the total distance is 1.2 km * 4 = 4.8 km. Time = Distance / Speed = 4.8 km / (4 km/h) = 1.2 hours. Converting to minutes: 1.2 * 60 = 72 minutes.

Question 28Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: In a particular week, the Lai Chi Kok Reception Centre admitted 120 new detainees and discharged 95. If the starting inmate population was 1,500, what was the percentage change in the population at the end of the week?

  1. +1.67% Correct answer.
  2. +2.50%
  3. -1.67%
  4. +1.25%

Explanation

Net change in population is admissions - discharges = 120 - 95 = +25 inmates. Percentage change = (25 / 1,500) * 100% = (1/60) * 100% = +1.67%.

Question 29Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: Complete the sequence: 2, 3, 6, 15, 42, _______.

  1. 123 Correct answer.
  2. 108
  3. 84
  4. 120

Explanation

Look at the differences: 3 - 2 = 1 (3^0); 6 - 3 = 3 (3^1); 15 - 6 = 9 (3^2); 42 - 15 = 27 (3^3). The differences are powers of 3. The next difference should be 3^4 = 81. The next number is 42 + 81 = 123.

Question 30Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: A tactical squad consists of 24 members. If 3/8 of the members are assigned to crowd control, 1/3 are assigned to entry duties, and the rest are in reserve, how many members are in reserve?

  1. 7 Correct answer.
  2. 9
  3. 8
  4. 10

Explanation

Crowd control: 24 * (3/8) = 9 members. Entry duties: 24 * (1/3) = 8 members. Total assigned: 9 + 8 = 17 members. Members in reserve: 24 - 17 = 7 members.

Question 31Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: At Stanley Prison, the ratio of inmates participating in Laundry vs. Bookbinding vs. Envelope-making is 5:3:2. If there are 120 inmates in total participating in these three workshops, how many are in Bookbinding?

  1. 36 Correct answer.
  2. 60
  3. 24
  4. 30

Explanation

Total parts in the ratio = 5 + 3 + 2 = 10 parts. Each part is 120 / 10 = 12 inmates. Bookbinding has 3 parts, so the number of inmates is 3 * 12 = 36.

Question 32Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: If the budget for CSD Staff Training is reduced by 15% to HKD 6.8 million, what was the original training budget before the reduction?

  1. HKD 8.0 million Correct answer.
  2. HKD 7.82 million
  3. HKD 7.5 million
  4. HKD 8.5 million

Explanation

Let the original budget be X. After a 15% reduction, X * (1 - 0.15) = X * 0.85 = 6.8 million. Therefore, X = 6.8 / 0.85 = 8.0 million HKD.

Question 33Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: In a security escort team, a van travels 40 kilometers at an average speed of 80 km/h, and then another 30 kilometers at 60 km/h. What is the average speed of the van for the entire journey?

  1. 70 km/h Correct answer.
  2. 75 km/h
  3. 65 km/h
  4. 72 km/h

Explanation

First leg: Time = 40 km / 80 km/h = 0.5 hours. Second leg: Time = 30 km / 60 km/h = 0.5 hours. Total distance = 40 + 30 = 70 km. Total time = 0.5 + 0.5 = 1 hour. Average speed = total distance / total time = 70 km / 1 hour = 70 km/h.

Question 34Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: Complete the series: 3, 7, 16, 32, 57, _______.

  1. 93 Correct answer.
  2. 82
  3. 89
  4. 97

Explanation

Look at the differences: 7 - 3 = 4 (2^2); 16 - 7 = 9 (3^2); 32 - 16 = 16 (4^2); 57 - 32 = 25 (5^2). The differences are consecutive squares. The next difference is 6^2 = 36. The next number is 57 + 36 = 93.

Question 35Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: A prison laundry facility processes 400 kg of laundry in 5 hours using 4 washing machines. How many hours would it take to process 640 kg of laundry using 8 washing machines of the same capacity?

  1. 4 hours Correct answer.
  2. 3 hours
  3. 5 hours
  4. 6 hours

Explanation

The work rate can be calculated as: rate per machine per hour = 400 kg / (5 hours * 4 machines) = 20 kg/hour per machine. With 8 machines, the combined rate is 8 * 20 = 160 kg/hour. To process 640 kg, it takes 640 / 160 = 4 hours.

Question 36Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: The visitor center recorded 450 visitors on Saturday and 540 visitors on Sunday. What was the percentage increase in visitors from Saturday to Sunday?

  1. 20% Correct answer.
  2. 25%
  3. 15%
  4. 18%

Explanation

The increase in visitors is 540 - 450 = 90. The percentage increase is (90 / 450) * 100% = 0.20 * 100% = 20%.

Question 37Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: Complete the sequence: 10, 12, 16, 24, 40, _______.

  1. 72 Correct answer.
  2. 56
  3. 64
  4. 80

Explanation

Look at the differences: 12 - 10 = 2; 16 - 12 = 4; 24 - 16 = 8; 40 - 24 = 16. The differences are doubling (2, 4, 8, 16). The next difference is 16 * 2 = 32. The next number is 40 + 32 = 72.

Question 38Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: A store of correctional officer uniforms contains 500 shirts. If 60% are size M, 30% are size L, and the remainder are size XL, how many shirts are size XL?

  1. 50 Correct answer.
  2. 100
  3. 150
  4. 80

Explanation

Combined percentage for M and L is 60% + 30% = 90%. Size XL makes up the remaining 100% - 90% = 10%. 10% of 500 shirts is 50 shirts.

Question 39Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: In a security testing drill, a transmission signal travels 300 meters in 0.001 seconds. What is the speed of the transmission signal in kilometers per hour?

  1. 1,080,000 km/h Correct answer.
  2. 300,000 km/h
  3. 1,200,000 km/h
  4. 900,000 km/h

Explanation

Speed = 300 meters / 0.001 seconds = 300,000 meters per second. To convert to kilometers per hour: (300,000 m/s) * (3600 s / 1 hour) * (1 km / 1000 m) = 300 * 3600 = 1,080,000 km/h.

Question 40Integrated english, quant, formal, professional, spatial foundations

Numerical Reasoning: An administrative office has a copy machine that print 80 pages per minute. A newer model prints 120 pages per minute. How many minutes will it take both machines running together to print a job of 2,400 pages?

  1. 12 minutes Correct answer.
  2. 20 minutes
  3. 15 minutes
  4. 10 minutes

Explanation

Combined rate = 80 + 120 = 200 pages per minute. Time = Total work / Combined rate = 2,400 pages / 200 pages per minute = 12 minutes.

Question 41Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: What is the total number of inmates in Shek Pik Prison? (1) If 50 inmates are transferred out, the remaining population will be 380. (2) Shek Pik Prison has a maximum capacity of 500 inmates.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient Correct answer.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) gives the equation: Total - 50 = 380, which resolves to Total = 430. This is sufficient. Statement (2) only gives the maximum capacity (500), which does not tell us the actual current number of inmates, so it is not sufficient.

Question 42Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: Is the ratio of female inmates to male inmates in the reception center greater than 1:2? (1) Female inmates make up 40% of the total reception center population. (2) There are exactly 80 female inmates in the reception center.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient Correct answer.
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) tells us that female inmates make up 40% of the population, which means male inmates make up 60%. The ratio of female to male is 40:60 = 2:3 (or 0.67), which is greater than 1:2 (0.5). Therefore, statement (1) alone is sufficient. Statement (2) only tells us the number of female inmates (80) but gives no information about the total or male population, so it is not sufficient.

Question 43Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: How many correctional officers are assigned to patrol duty on the night shift? (1) The total number of officers on the night shift is 60. (2) Of the officers on the night shift, 70% are assigned to patrol duty.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient Correct answer.
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) alone is not sufficient because it only gives the total night shift staff. Statement (2) alone is not sufficient because it only gives the percentage of staff on patrol. Together, we can calculate the number of patrol officers as 70% of 60 = 42 officers, which is sufficient.

Question 44Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: Did the CSD Complaints Investigation Unit resolve more than 150 cases in 2025? (1) In the first half of 2025, they resolved 80 cases. (2) In the second half of 2025, they resolved 10% more cases than in the first half of 2025.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient Correct answer.
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) alone is not sufficient (only covers half of the year). Statement (2) alone is not sufficient (only gives a relative change). Together, the second half cases = 80 * 1.10 = 88. Total cases = 80 + 88 = 168. Since 168 > 150, we can answer the question with 'Yes'. Both statements are required.

Question 45Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: What is the value of the security budget for the correctional facility? (1) The security budget is exactly 20% of the total facility budget. (2) The non-security budget of the facility is HKD 40 million.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient Correct answer.
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) alone is not sufficient (gives percentage but no absolute values). Statement (2) alone is not sufficient (gives non-security value but no relation to security). Together: if security is 20%, non-security is 80%. Thus, 80% = HKD 40 million, meaning total budget is 40 / 0.80 = HKD 50 million. Security budget is 20% of 50 = HKD 10 million. Thus, both statements together are sufficient.

Question 46Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: Is inmate population growth in Lo Wu Correctional Institution in 2025 less than 5%? (1) The inmate population was 800 at the start of 2025. (2) The inmate population was 824 at the end of 2025.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient Correct answer.
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) alone is not sufficient. Statement (2) alone is not sufficient. Together, the growth rate is (824 - 800) / 800 = 24 / 800 = 3%. Since 3% is less than 5%, we can answer the question with a definitive 'Yes'. Thus, both statements are sufficient together.

Question 47Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: What is the age of the youngest CSD cadet in the training class? (1) The average age of the cadet class is 24 years. (2) The age of the oldest cadet is 29 years.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient
  4. Statements (1) and (2) together are not sufficient Correct answer.

Explanation

Statement (1) gives only the average age, not the individual minimum. Statement (2) gives the maximum age. Even combined, we cannot determine the minimum age because the distribution of ages is unknown (e.g., ages could be 20, 23, 29 or 22, 24, 29). Therefore, statements (1) and (2) together are not sufficient.

Question 48Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: How many cells are in Sector B of the prison? (1) Sector B has 4 corridors, and each corridor has the same number of cells. (2) Each corridor in Sector B contains exactly 15 cells.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient Correct answer.
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) alone only tells us there are 4 corridors, but not how many cells are in each. Statement (2) alone only tells us the number of cells per corridor, but not the number of corridors. Together, we can calculate: 4 corridors * 15 cells/corridor = 60 cells. Therefore, both statements together are sufficient.

Question 49Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: Is Officer Chan's salary higher than Officer Lee's salary? (1) Officer Chan's salary is HKD 35,000 per month. (2) Officer Lee's salary is 5% lower than the senior officer grade minimum.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient
  4. Statements (1) and (2) together are not sufficient Correct answer.

Explanation

Statement (1) gives Chan's salary. Statement (2) gives Lee's salary relative to a third, unknown value (senior officer grade minimum). Since we do not know what the senior officer grade minimum is, we cannot compare the two salaries. Thus, statements (1) and (2) together are not sufficient.

Question 50Integrated english, quant, formal, professional, spatial foundations

Data Sufficiency: Did the inmates in the metalwork shop produce more than 500 units yesterday? (1) Yesterday morning, they produced 280 units. (2) Yesterday afternoon, they produced 230 units.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient
  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient
  3. Both statements together are sufficient, but neither alone is sufficient Correct answer.
  4. Statements (1) and (2) together are not sufficient

Explanation

Statement (1) and (2) alone only cover parts of the day. Together, the total daily production is 280 (morning) + 230 (afternoon) = 510 units. Since 510 is greater than 500, we can answer 'Yes'. Thus, both statements together are sufficient.