OTEE - Officer Trainee Entrance Reasoning and Numerical Ability Questions and Answers 1 — 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?
- 12L36 (Correct answer)
- 12K36
- 11L33
- 15M45
Correct answer: 12L36
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?
- Floor 4
- Floor 1
- Floor 2 (Correct answer)
- Floor 3
Correct answer: Floor 2
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?
- A decrease of $10 (Correct answer)
- An increase of $10
- No change
- A decrease of $100
Correct answer: A decrease of $10
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?
- 210
- 108
- 120
- 228 (Correct answer)
Correct answer: 228
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?
- All participants proficient in communications are also proficient in first aid.
- A participant who is not proficient in communications cannot be proficient in first aid. (Correct answer)
- No participant is proficient in both first aid and communications.
- A participant who is not proficient in first aid cannot be proficient in communications.
Correct answer: A participant who is not proficient in communications cannot be proficient in first aid.
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.
Question 6: A secure access code must be 4 digits long using the numbers 1, 2, 3, and 4. The code must be an even number, and no digit can be repeated. How many different code combinations are possible?
- 24
- 6
- 12 (Correct answer)
- 18
Correct answer: 12
For the 4-digit code to be even, the last digit must be either 2 or 4. Case 1: The last digit is 2. The first three digits can be arranged from {1, 3, 4} in 3! (3*2*1) = 6 ways. Case 2: The last digit is 4. The first three digits can be arranged from {1, 2, 3} in 3! (3*2*1) = 6 ways. The total number of possible combinations is the sum of the possibilities from both cases: 6 + 6 = 12.
OTEE - Officer Trainee Entrance Reasoning and Numerical Ability Questions and Answers 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?