Practice Test Geeks(OTEE) Officer Trainee Entrance Exam Practice Test
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Mathematical Aptitude Flashcards

7 cards from real OTEE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematical Aptitude flashcards as text

  1. A squad of 24 soldiers is divided in a 3:5 ratio. How many soldiers are in the larger group?

    Answer: 15

    The larger share is 5/(3+5) × 24 = 15 soldiers.

  2. A military vehicle travels 240 miles on 8 gallons of fuel. How many gallons are needed for a 390-mile mission?

    Answer: 13

    The vehicle gets 30 mpg, so 390 ÷ 30 = 13 gallons.

  3. A cadet's test score improved from 65 to 78. What is the percentage increase?

    Answer: 20%

    Percentage increase = (78 − 65) / 65 × 100 = 20%.

  4. If 30% of a unit's 120 members are officers, how many are non-officers?

    Answer: 84

    30% of 120 = 36 officers, so 120 − 36 = 84 non-officers.

  5. A field mixture requires a salt-to-water ratio of 1:8. How much salt is needed for 72 liters of water?

    Answer: 9 liters

    72 ÷ 8 = 9 liters of salt.

  6. A cadet answers 80% of 50 test questions correctly. How many questions were answered incorrectly?

    Answer: 10

    80% of 50 = 40 correct, so 50 − 40 = 10 incorrect.

  7. Two soldiers can each complete a task alone in 6 hours and 9 hours respectively. How long will they take working together?

    Answer: 3.6 hours

    Combined rate = 1/6 + 1/9 = 5/18 per hour, so time = 18/5 = 3.6 hours.