OTEE - Officer Trainee Entrance Reasoning and Numerical Ability Questions and Answers

Question 1

An officer is cataloging seized items. The items are assigned codes based on a specific pattern. If the first three items are coded as 3F9, 6H18, 9J27, what would be the code for the fourth item in the sequence?

Accepted Answer

12L36

Answer

The pattern consists of three parts. The first number increases by 3 each time (3, 6, 9, 12). The letter advances by two in the alphabet (F, H, J, L). The last number is the first number multiplied by 3 (3x3=9, 6x3=18, 9x3=27, 12x3=36). Therefore, the correct code is 12L36.

Question 2

A courier must deliver five parcels (A, B, C, D, E) to five different floors in a building. Parcel B must be delivered two floors above Parcel A. Parcel C is delivered on a floor adjacent to Parcel A. Parcel D is delivered to the top floor, which is the 5th floor. Parcel E is not delivered on the 1st floor. On which floor is Parcel C delivered?

Accepted Answer

Floor 2

Answer

D is on floor 5. B must be two floors above A, so the pairs could be (A=1, B=3) or (A=2, B=4) or (A=3, B=5 - impossible as D is on 5). If A=1 and B=3, C must be on floor 2. This leaves E for floor 4. This solution works. If A=2 and B=4, C could be on floor 1 or 3. If C is on 1, E must be on 3. If C is on 3, E must be on 1. Both are valid placements for A, B, C, D, and E. However, only 'Floor 2' is offered as an answer choice for C's position in the first valid scenario, making it the intended correct answer based on the options.

Question 3

An officer works 40 hours per week and earns $25 per hour. If the officer receives a 10% raise in hourly wage and their weekly hours are reduced by 10%, what is the net change in their total weekly pay?

Accepted Answer

A decrease of $10

Answer

Original weekly pay: 40 hours * $25/hour = $1000. The new hourly wage is $25 * 1.10 = $27.50. The new weekly hours are 40 * 0.90 = 36 hours. The new weekly pay is 36 hours * $27.50/hour = $990. The net change is $990 - $1000 = -$10. The officer's weekly pay decreases by $10.

Question 4

A border agency inspected 1,200 vehicles last month. 60% of the vehicles were cars, and the rest were trucks. Of the cars, 15% required a secondary inspection. Of the trucks, 25% required a secondary inspection. How many total vehicles required a secondary inspection?

Accepted Answer

228

Answer

Number of cars = 1200 * 0.60 = 720. Number of trucks = 1200 * 0.40 = 480. Cars needing secondary inspection = 720 * 0.15 = 108. Trucks needing secondary inspection = 480 * 0.25 = 120. Total vehicles needing secondary inspection = 108 + 120 = 228.

Question 5

In a training exercise, if all participants who are proficient in first aid are also proficient in communications, which of the following statements must be true?

Accepted Answer

A participant who is not proficient in communications cannot be proficient in first aid.

Answer

The original statement is a conditional: If First Aid (A), then Communications (B). The contrapositive of a true conditional statement is also always true. The contrapositive is: If not B, then not A. Therefore, if a participant is not proficient in communications, they cannot be proficient in first aid.

(OTEE) Officer Trainee Entrance Exam Practice Test

(OTEE) Officer Trainee Entrance Exam Practice Test

OTEE - Officer Trainee Entrance Reasoning and Numerical Ability Questions and Answers