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HK Customs Inspector Part I study materials
HK Customs Inspector Part I study resources

HK Customs Inspector Part I practice questions

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

Find the next number in the sequence: 3, 5, 9, 17, 33, ...

  1. 65 Correct answer.
  2. 50
  3. 49
  4. 72

Explanation

The pattern in the sequence is to double the difference added to each term. The differences are: 5-3 = 2; 9-5 = 4; 17-9 = 8; 33-17 = 16. The next difference must be 16 * 2 = 32. Therefore, the next number is 33 + 32 = 65.

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

Complete the letter series: A, C, F, J, O, ...

  1. U Correct answer.
  2. T
  3. V
  4. S

Explanation

The letters correspond to numerical positions in the alphabet: A = 1, C = 3, F = 6, J = 10, O = 15. The differences between the positions are increasing consecutively: +2, +3, +4, +5. The next step must be +6. 15 + 6 = 21, which corresponds to the letter U.

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

Consider the following statements: 1. All inspectors are officers. 2. Some officers are brave. Based on these statements, which of the following conclusions must logically follow?

  1. Some officers are inspectors Correct answer.
  2. All inspectors are brave
  3. Some inspectors are brave
  4. No brave people are officers

Explanation

Since 'All inspectors are officers', it must be true that any inspector is also an officer. Therefore, the set of inspectors is a subset of the set of officers. Since the set of inspectors is a non-empty subset of officers, 'Some officers are inspectors' is a logically valid conversion. We cannot conclude that any inspectors are brave, as the brave officers might not overlap with inspectors.

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

Choose the word that does NOT belong with the others in the group.

  1. Tariff
  2. Duty
  3. Levy
  4. Subsidy Correct answer.

Explanation

Tariff, duty, and levy are all types of taxes or charges imposed by authorities on goods or transactions. A subsidy is the opposite; it is financial assistance or support paid by the government to individuals or businesses. Hence, subsidy is the odd one out.

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

Complete the analogy: Customs : Smuggling :: Police : _____

  1. Crime Correct answer.
  2. Patrol
  3. Arrest
  4. Law

Explanation

The relationship is: [Agency] is responsible for preventing and detecting [Target Activity]. Customs is responsible for combating smuggling, while the Police are responsible for combating crime in general. Patrol and arrest are actions, and law is a set of rules, which do not fit the direct target relationship.

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

In a customs depot, container A is taller than container B. Container B is taller than container C. Container D is taller than container A. Which of the following statements must be true?

  1. Container C is the shortest among the four Correct answer.
  2. Container B is taller than container D
  3. Container A is taller than container D
  4. Container C is taller than container A

Explanation

Based on the statements, we can set up the height relations as: D > A > B > C. From this chain, it is clear that D is the tallest and C is the shortest. Therefore, container C is indeed the shortest among the four.

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

Pointing to a photograph, a customs officer says: 'She is the mother of the only daughter of my father.' How is the woman in the photograph related to the officer?

  1. The officer's mother Correct answer.
  2. The officer's aunt
  3. The officer's daughter
  4. The officer's niece

Explanation

The 'only daughter of my father' is the officer's sister. The mother of that sister is the officer's own mother (the same woman who is the wife of the officer's father). Therefore, the woman in the photograph is the officer's mother.

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

If the word 'INSPECT' is coded as 'JOTQFDU' in a security cipher, how should the word 'BORDER' be coded under the same cipher?

  1. CPSDFS Correct answer.
  2. ANQCDQ
  3. CPSDDS
  4. COSFES

Explanation

The cipher shifts each letter forward by one position in the alphabet: I -> J (+1), N -> O (+1), S -> T (+1), P -> Q (+1), E -> F (+1), C -> D (+1), T -> U (+1). Applying this +1 shift to 'BORDER' yields B->C, O->P, R->S, D->E, E->F, R->S, which is 'CPSDFS'.

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

A patrol boat travels 12 kilometers North, turns East and travels 5 kilometers. How far is the boat from its starting point in a straight line?

  1. 13 kilometers Correct answer.
  2. 17 kilometers
  3. 15 kilometers
  4. 14 kilometers

Explanation

The path forms a right-angled triangle where the legs are 12 km and 5 km. Using the Pythagorean theorem (a^2 + b^2 = c^2): 12^2 + 5^2 = 144 + 25 = 169. The square root of 169 is 13. Therefore, the boat is 13 km from the starting point.

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

In a customs task force of 100 officers, 65 speak English, 45 speak Mandarin, and 20 speak both languages. How many officers speak neither of these two languages?

  1. 10 Correct answer.
  2. 20
  3. 15
  4. 5

Explanation

We use the principle of inclusion-exclusion. The number of officers speaking at least one language is: English + Mandarin - Both = 65 + 45 - 20 = 90 officers. The remaining officers who speak neither language are: Total - 90 = 100 - 90 = 10 officers.

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

Complete the analogy: Import : Export :: Ingress : _____

  1. Egress Correct answer.
  2. Access
  3. Congress
  4. Progress

Explanation

Import (bringing in) and Export (sending out) are antonyms denoting direction of trade. Similarly, Ingress (entering or going in) and Egress (exiting or going out) are antonyms denoting spatial movement. Therefore, Egress is the correct match.

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

Consider the following statements: 1. No illegal goods are allowed. 2. Some imported items are illegal goods. Based on these statements, which of the following conclusions must logically follow?

  1. Some imported items are not allowed Correct answer.
  2. All imported items are allowed
  3. No imported items are allowed
  4. Some allowed items are illegal goods

Explanation

Since 'No illegal goods are allowed' and 'Some imported items are illegal goods', those imported items that are illegal cannot be allowed. Therefore, 'Some imported items are not allowed' is a logically valid conclusion.

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

Three suspects (A, B, and C) are questioned about a smuggling case. Exactly one of them is guilty. A says: 'I am innocent.' B says: 'A is guilty.' C says: 'I am innocent.' If only one of these three statements is true, who committed the crime?

  1. C Correct answer.
  2. A
  3. B
  4. None of them

Explanation

Test each suspect. If C is guilty: A's 'I am innocent' is true, B's 'A is guilty' is false, and C's 'I am innocent' is false - exactly one true statement, which satisfies the condition. If A were guilty, B's accusation and C's denial would both be true (two true). If B were guilty, both A's and C's denials would be true (two true). Only C being guilty yields exactly one true statement.

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

In a certain code, if 'CUSTOMS' is coded as '5127632', which digit represents the letter 'S'?

  1. 2 Correct answer.
  2. 5
  3. 1
  4. 7

Explanation

In the code 'CUSTOMS' -> '5127632', the letter 'S' appears twice: as the third letter and the seventh letter. Correspondingly, in the digit code '5127632', the digit '2' appears at the third position and the seventh position. Therefore, the letter 'S' is represented by the digit '2'.

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

Consider this statement: 'Most customs officers are university graduates. Alan is a customs officer.' Which of the following conclusions is logically sound?

  1. It is possible that Alan is not a university graduate Correct answer.
  2. Alan is definitely a university graduate
  3. Alan is definitely not a university graduate
  4. All university graduates are customs officers

Explanation

The word 'Most' means a majority (more than 50%), but not all. Since not all customs officers are university graduates, it is possible that Alan belongs to the minority who did not graduate. Therefore, we can only conclude that 'It is possible that Alan is not a university graduate.'

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

Find the missing number in the matrix: | 2 | 4 | 8 | | 3 | 9 | 27 | | 4 | 16 | ? |

  1. 64 Correct answer.
  2. 32
  3. 48
  4. 20

Explanation

The pattern in each row is: the second number is the square of the first (x^2), and the third number is the cube of the first (x^3). Row 1: 2, 2^2=4, 2^3=8. Row 2: 3, 3^2=9, 3^3=27. Row 3: 4, 4^2=16, 4^3=64. The missing number is 64.

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

A warehouse manager has 5 boxes. Box A is heavier than Box B but lighter than Box C. Box D is lighter than Box B. Box E is heavier than Box C. Which box is the heaviest?

  1. Box E Correct answer.
  2. Box C
  3. Box A
  4. Box D

Explanation

Let's translate the statements into inequalities: A > B, A < C (so C > A), D < B (so B > D), E > C. Combining these, we get the weight order: E > C > A > B > D. Box E is the heaviest box.

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

If A = 1, B = 2, C = 3, and so on, what is the alphabetical sum value of the word 'DUTY'?

  1. 69
  2. 65
  3. 70 Correct answer.
  4. 60

Explanation

Using the alphabetical positions: D = 4, U = 21, T = 20, Y = 25. The sum of these values is 4 + 21 + 20 + 25 = 70.

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

Find the next number in the series: 2, 6, 12, 20, 30, 42, ...

  1. 56 Correct answer.
  2. 54
  3. 52
  4. 60

Explanation

The differences between consecutive terms are increasing consecutive even numbers: 6-2 = +4; 12-6 = +6; 20-12 = +8; 30-20 = +10; 42-30 = +12. The next difference must be +14. Therefore, the next number is 42 + 14 = 56.

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

If the statement 'If the cargo is chemical, it requires a special permit' is true, which of the following statements must also be true?

  1. If the cargo does not require a special permit, it is not chemical Correct answer.
  2. If the cargo is not chemical, it does not require a special permit
  3. If the cargo requires a special permit, it is chemical
  4. All cargo requires a special permit

Explanation

In logic, a conditional statement 'P -> Q' is logically equivalent to its contrapositive '~Q -> ~P'. Therefore, 'If the cargo is chemical (P) -> it requires a special permit (Q)' is equivalent to 'If the cargo does not require a special permit (~Q) -> it is not chemical (~P)'.

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

Five officers (A, B, C, D, and E) stand in a straight line of five positions. E is on the far-left end. A stands immediately to the right of E. A is next to B. C is in the second position from the right. C is next to D. Who is standing in the middle position?

  1. B Correct answer.
  2. A
  3. D
  4. C

Explanation

E is at position 1. A is immediately to the right of E, so A is at position 2. A is next to B, and position 1 is taken, so B is at position 3. C is second from the right, so C is at position 4. C is next to D, and position 3 is taken, so D is at position 5. The order is E, A, B, C, D, making B (position 3) the person in the middle.

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

Consider these statements: 1. All containers are sealed. 2. Some sealed items are fragile. Based on these statements, which of the following is a logically necessary conclusion?

  1. Some fragile items are sealed Correct answer.
  2. All containers are fragile
  3. Some containers are fragile
  4. No fragile items are sealed

Explanation

From 'Some sealed items are fragile', we can logically conclude the converse: 'Some fragile items are sealed'. We cannot conclude anything about containers being fragile because the set of containers (which are all sealed) might not overlap with the fragile subset of sealed items.

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

A customs warehouse contains twice as many red boxes as green boxes. If 10 red boxes are removed, there will be an equal number of red and green boxes. How many boxes of both colors were in the warehouse initially?

  1. 30 Correct answer.
  2. 20
  3. 15
  4. 40

Explanation

Let the initial number of green boxes be x. Then the number of red boxes is 2x. If 10 red boxes are removed, the new number of red boxes is 2x - 10. Since this is equal to the number of green boxes: 2x - 10 = x -> x = 10. The initial number of green boxes is 10, and red boxes is 20. The total initial number of boxes is 10 + 20 = 30.

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

If it is true that: 1. If A is selected, B is selected. 2. If B is selected, C is not selected. Which of the following must be true if C is selected?

  1. A is not selected Correct answer.
  2. B is selected
  3. A is selected
  4. Both A and B are selected

Explanation

If C is selected, then from statement 2 we know that B must not be selected (since if B were selected, C would not be selected, which contradicts that C is selected). Since B is not selected, from the contrapositive of statement 1 (if B is not selected, A is not selected), we can conclude that A is not selected.

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

What is the average speed of a customs patrol boat during a mission? Statement (1): The boat covered 60 nautical miles in 3 hours. Statement (2): The boat consumed 200 litres of fuel during the mission.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not. Correct answer.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. EACH statement ALONE is sufficient.

Explanation

To find the average speed, we need the total distance and the total time (Speed = Distance / Time). Statement (1) gives the total distance (60 nautical miles) and the total time (3 hours), which is sufficient to calculate the speed (20 knots). Statement (2) gives fuel consumption, which is irrelevant to calculating speed without other variables. Thus, Statement (1) alone is sufficient.

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

What is the value of x + y? Statement (1): x = 5. Statement (2): y = 10.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

We have two variables, x and y. Statement (1) gives x = 5, which leaves y unknown, so it is not sufficient. Statement (2) gives y = 10, which leaves x unknown, so it is not sufficient. Combining both statements, we get x = 5 and y = 10, so x + y = 15. Thus, both statements together are sufficient, but neither alone is.

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

Is the integer n an even number? Statement (1): n + 3 is an odd integer. Statement (2): 2n is an even integer.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not. Correct answer.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states that n + 3 is an odd integer. Since an even integer plus an odd integer (3) equals an odd integer, n must be even. Thus, Statement (1) alone is sufficient. Statement (2) states that 2n is an even integer. 2n is even for any integer n (whether n is odd or even), so n could be odd or even. Thus, Statement (2) alone is not sufficient.

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

What is the total weight of a shipment containing 20 identical cargo crates? Statement (1): Five of the identical loaded crates together weigh 150 kg. Statement (2): Each empty crate weighs 10 kg.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not. Correct answer.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. EACH statement ALONE is sufficient.

Explanation

To find the total weight, we need the weight of one crate. Statement (1) tells us the weight of 5 crates is 150 kg. This allows us to calculate the weight of one crate (150 / 5 = 30 kg) and thus the total weight (30 * 20 = 600 kg). This is sufficient. Statement (2) tells us the weight of a single empty crate is 10 kg, which does not tell us the cargo weight. Thus, Statement (1) alone is sufficient.

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

How many officers are in the customs task force? Statement (1): The ratio of male to female officers is 3:2. Statement (2): There are 12 female officers.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states that the ratio of male to female officers is 3:2, which does not give the actual count of officers, so it is not sufficient. Statement (2) states that there are 12 female officers, which does not give the count of male officers, so it is not sufficient. Combining both: if females (2 parts) = 12, then 1 part = 6. Males (3 parts) = 18. Total officers = 18 + 12 = 30. Thus, both statements together are sufficient.

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

What is the final price of an imported article after a 10% customs duty is added? Statement (1): The original price of the article is $500. Statement (2): The duty amount charged is $50.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. EACH statement ALONE is sufficient. Correct answer.

Explanation

To find the final price, we need either the original price or the duty amount. Statement (1) states the original price of the article is $500. We can calculate the duty ($50) and final price ($550). This is sufficient. Statement (2) states the duty amount is $50. Since duty is 10%, the original price is $500, and the final price is $550. This is also sufficient. Thus, each statement alone is sufficient.

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

If x and y are real numbers, is x > y? Statement (1): x^2 > y^2. Statement (2): x > 0.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states x^2 > y^2. This means |x| > |y|, but we do not know if x > y (e.g., if x = -3 and y = 2, then (-3)^2 > 2^2, but -3 < 2). Not sufficient. Statement (2) states x > 0, which gives no info about y, so it is not sufficient. Combined: |x| > |y| and x > 0. Since x is positive, x = |x| > |y|. Since |y| is always greater than or equal to y, we have x > |y| >= y, which proves x > y. Thus, both statements together are sufficient.

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

Is the perimeter of a rectangular customs warehouse greater than 100 meters? Statement (1): The area of the warehouse is 600 square meters. Statement (2): The length of the warehouse is 30 meters.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

The perimeter is P = 2(L + W). Statement (1) states the area L * W = 600, which has infinite L and W combinations (e.g. 30x20 -> P=100; 60x10 -> P=140). Not sufficient. Statement (2) states L = 30, which leaves W unknown, so it is not sufficient. Combined: L = 30 and L * W = 600 -> W = 20. P = 2(30 + 20) = 100 meters. Since P is exactly 100, it is NOT greater than 100, giving a definite 'No' answer. Thus, both statements together are sufficient.

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

How many days will it take for a team of customs officers to audit a batch of trade declarations? Statement (1): The team has 6 officers. Statement (2): Each officer audits 50 declarations per day.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. Statements (1) and (2) TOGETHER are NOT sufficient. Correct answer.

Explanation

To find the time needed, we need the team's total audit rate and the total number of declarations. Statement (1) tells us there are 6 officers. Statement (2) tells us each officer audits 50 declarations per day. Combined, the team audits 300 declarations per day. However, we do not know the total number of declarations in the batch. Thus, even together, the statements are not sufficient.

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

What is the value of the prime integer x? Statement (1): x is a prime number between 10 and 20. Statement (2): x is an odd integer.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. Statements (1) and (2) TOGETHER are NOT sufficient. Correct answer.

Explanation

Statement (1) states x is a prime number between 10 and 20. The prime numbers in this range are 11, 13, 17, and 19. Not sufficient. Statement (2) states x is an odd integer, which does not narrow down x. Combined, all primes between 10 and 20 (11, 13, 17, 19) are odd, so we still have 4 possible values. Thus, even together, the statements are not sufficient.

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

Is the product of two integers a and b positive? Statement (1): a < 0. Statement (2): b < 0.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

The product ab is positive if both a and b have the same sign (both positive or both negative). Statement (1) states a < 0, which tells us nothing about b. Not sufficient. Statement (2) states b < 0, which tells us nothing about a. Not sufficient. Combined: both a and b are negative, so their product ab must be positive. Thus, both statements together are sufficient.

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

What is the area of a circular customs search zone? Statement (1): The radius is 10 meters. Statement (2): The circumference is 20π meters.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. EACH statement ALONE is sufficient. Correct answer.

Explanation

The area of a circle is A = π * r^2. Statement (1) states the radius r = 10, which allows us to calculate the area (100π). Sufficient. Statement (2) states the circumference is 20π. Since C = 2π * r = 20π, we find r = 10, which also allows us to calculate the area (100π). Sufficient. Thus, each statement alone is sufficient.

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

Did a container ship arrive at the Hong Kong port on schedule? Statement (1): The ship's average speed was 18 knots. Statement (2): The ship arrived at 14:00.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. Statements (1) and (2) TOGETHER are NOT sufficient. Correct answer.

Explanation

To determine if the ship was on schedule, we need both its actual arrival time and its scheduled arrival time. Statement (1) gives its average speed, which is irrelevant. Statement (2) tells us it arrived at 14:00. Even combining these, we do not know what time the ship was scheduled to arrive. Thus, the statements are not sufficient.

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

A storage box contains only blue and black pens. What is the ratio of blue pens to black pens? Statement (1): There are 24 blue pens. Statement (2): There are 40 pens in total.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states the number of blue pens is 24, leaving the number of black pens unknown, so it is not sufficient. Statement (2) states the total number of pens is 40, leaving the individual counts unknown, so it is not sufficient. Combined: Blue = 24, so Black = 40 - 24 = 16. The ratio is 24:16 = 3:2. Thus, both statements together are sufficient.

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

What is the final price of an imported watch including a luxury sales tax? Statement (1): The price of the watch before tax is $2,000. Statement (2): The sales tax is 20% of the pre-tax price.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states the price of the watch before tax is $2,000, but we do not know the tax rate. Not sufficient. Statement (2) states the sales tax is 20%, but we do not know the pre-tax price. Combined: Final Price = $2,000 * 1.20 = $2,400. Thus, both statements together are sufficient.

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

Is the integer x divisible by 6? Statement (1): x is divisible by 3. Statement (2): x is divisible by 2.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

An integer is divisible by 6 if and only if it is divisible by both 2 and 3. Statement (1) states x is divisible by 3 (e.g. x = 9 is not divisible by 6, but x = 12 is). Not sufficient. Statement (2) states x is divisible by 2 (e.g. x = 8 is not divisible by 6, but x = 12 is). Not sufficient. Combined: x is divisible by both 2 and 3, meaning it must be divisible by 6. Thus, both statements together are sufficient.

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

What is the length of side BC of triangle ABC? Statement (1): AB = 5 and AC = 12. Statement (2): Angle A is 90 degrees.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states AB = 5 and AC = 12, but without knowing the angles, BC can vary. Not sufficient. Statement (2) states Angle A is 90 degrees, but without side lengths, BC cannot be determined. Combined: Triangle ABC is a right-angled triangle with legs 5 and 12. Using the Pythagorean theorem, BC = sqrt(5^2 + 12^2) = 13. Thus, both statements together are sufficient.

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

How much customs duty was paid on an imported luxury car? Statement (1): The duty rate is 100% of the taxable value. Statement (2): The car's taxable value is $500,000.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Duty paid = Taxable Value * Duty Rate. Statement (1) states the duty rate is 100%, but the car value is unknown. Not sufficient. Statement (2) states the car's taxable value is $500,000, but the duty rate is unknown. Combined: Duty = $500,000 * 1.00 = $500,000. Thus, both statements together are sufficient.

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

Is the integer n a prime number? Statement (1): n is an odd integer. Statement (2): 10 < n < 15.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states n is an odd integer, which leaves infinite prime and composite options. Not sufficient. Statement (2) states 10 < n < 15, which means n can be 11, 12, 13, or 14. Some are prime, some are composite. Not sufficient. Combined: n is an odd integer and 10 < n < 15, so n must be 11 or 13. Since both 11 and 13 are prime numbers, n is definitely prime, answering the question with a unique 'Yes'. Thus, both statements together are sufficient.

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

What was the average speed of a truck carrying cargo from the port? Statement (1): The truck traveled 150 km. Statement (2): The journey took 2 hours.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Average Speed = Distance / Time. Statement (1) states the distance is 150 km, but time is unknown. Not sufficient. Statement (2) states the travel time is 2 hours, but distance is unknown. Combined: Speed = 150 km / 2 hours = 75 km/h. Thus, both statements together are sufficient.

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

What is the value of the real number x? Statement (1): x^2 = 9. Statement (2): x > 0.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states x^2 = 9, which means x can be 3 or -3. Not sufficient. Statement (2) states x > 0, which only tells us x is positive but not its value. Combined: x must be 3, since -3 is not positive. Thus, both statements together are sufficient.

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

What is the temperature in the customs climate-controlled warehouse? Statement (1): The temperature is between 15°C and 18°C. Statement (2): The temperature is 16°C.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not. Correct answer.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient.
  4. EACH statement ALONE is sufficient.

Explanation

Statement (1) states the temperature is between 15°C and 18°C, which does not give a single value. Not sufficient. Statement (2) states the temperature is 16°C, which is a single precise value. Sufficient. Thus, Statement (2) alone is sufficient.

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

How many boxes of cargo were inspected in a shipment? Statement (1): 10% of the boxes were inspected. Statement (2): The shipment contains 200 boxes.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Inspected = Total * Inspection Rate. Statement (1) states 10% of the boxes were inspected, but total boxes are unknown. Not sufficient. Statement (2) states the shipment contains 200 boxes, but the rate is unknown. Combined: Inspected = 200 * 0.10 = 20 boxes. Thus, both statements together are sufficient.

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

What is the annual interest rate on a customs deposit bond? Statement (1): The interest earned is $500 on a $10,000 deposit. Statement (2): The deposit was held for 1 year.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

Interest = Principal * Rate * Time. Statement (1) states the interest earned is $500 on a $10,000 deposit, but the time period is unknown. Not sufficient. Statement (2) states the deposit was held for 1 year, but interest earned is unknown. Combined: $500 = $10,000 * Rate * 1 -> Rate = 5%. Thus, both statements together are sufficient.

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

Is the shape of a customs cargo inspection area a square? Statement (1): The area has four equal sides. Statement (2): The area has four 90-degree angles.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not.
  2. Statement (2) ALONE is sufficient, but statement (1) alone is not.
  3. BOTH statements (1) and (2) TOGETHER are sufficient, but NEITHER alone is sufficient. Correct answer.
  4. EACH statement ALONE is sufficient.

Explanation

A quadrilateral is a square if and only if it has four equal sides and four right angles (90 degrees). Statement (1) states the area has four equal sides (could be a rhombus). Not sufficient. Statement (2) states the area has four 90-degree angles (could be a rectangle). Not sufficient. Combined: the shape has four equal sides and four 90-degree angles, which uniquely defines a square. Thus, both statements together are sufficient.

Question 50Integrated english, quant, formal, professional, customs 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.