CFAT - Canadian Forces Aptitude Problem Solving: Basic Math Questions and Answers 1 — Questions and Answers
Question 1: A supply truck travels 240 km from Base A to Base B at a constant speed of 80 km/h. The driver stops for a 30-minute break during the trip. What is the total time elapsed from departure to arrival?
- 3 hours
- 4 hours
- 3.5 hours (Correct answer)
- 2.5 hours
Correct answer: 3.5 hours
First, calculate the driving time by dividing the distance by the speed: Time = Distance / Speed = 240 km / 80 km/h = 3 hours. Next, add the break time to the driving time. The break is 30 minutes, which is 0.5 hours. Total time = 3 hours + 0.5 hours = 3.5 hours.
Question 2: A platoon has 300 recruits. In the first month of training, 15% of the recruits drop out. How many recruits remain in the platoon?
- 45
- 255 (Correct answer)
- 285
- 250
Correct answer: 255
To find the number of recruits who dropped out, calculate 15% of 300: 0.15 * 300 = 45. To find the number of remaining recruits, subtract the dropouts from the initial total: 300 - 45 = 255.
Question 3: Private Smith can paint a wall in 3 hours, while Private Jones can paint the same wall in 6 hours. If they work together, how long will it take them to paint the wall?
- 4.5 hours
- 9 hours
- 1.5 hours
- 2 hours (Correct answer)
Correct answer: 2 hours
First, determine their individual work rates. Smith's rate is 1/3 of the wall per hour. Jones's rate is 1/6 of the wall per hour. Their combined rate is the sum of their individual rates: 1/3 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2 wall per hour. To find the total time, take the reciprocal of their combined rate: 1 / (1/2) = 2 hours.
Question 4: A fuel mixture for a generator requires oil and gasoline in a ratio of 1:50. To prepare 102 litres of this mixture, how many litres of oil are required?
- 1 litre
- 4 litres
- 2 litres (Correct answer)
- 5.1 litres
Correct answer: 2 litres
The ratio 1:50 means there are 1 + 50 = 51 total parts in the mixture. To find the volume of one part, divide the total volume by the total number of parts: 102 litres / 51 parts = 2 litres per part. Since oil makes up 1 part of the ratio, 1 part * 2 litres/part = 2 litres of oil are required.
Question 5: A rectangular training field has an area of 5,000 square metres. If the length of the field is twice its width, what is the perimeter of the field?
- 300 m (Correct answer)
- 200 m
- 250 m
- 500 m
Correct answer: 300 m
Let the width be 'w'. Then the length is '2w'. The area is length × width, so 2w × w = 5000, which simplifies to 2w² = 5000. Divide by 2 to get w² = 2500. The square root of 2500 is 50, so the width is 50 m. The length is 2 × 50 = 100 m. The perimeter is 2 × (length + width) = 2 × (100 + 50) = 2 × 150 = 300 m.
Question 6: A soldier purchases 3 energy bars at $2.25 each and 2 sports drinks at $1.75 each. If the soldier pays with a $20 bill, how much change should be received?
- $10.25
- $9.25
- $16.00
- $9.75 (Correct answer)
Correct answer: $9.75
First, calculate the total cost of the energy bars: 3 * $2.25 = $6.75. Next, calculate the total cost of the sports drinks: 2 * $1.75 = $3.50. Add these amounts to find the total purchase price: $6.75 + $3.50 = $10.25. Finally, subtract the total cost from the amount paid: $20.00 - $10.25 = $9.75.
CFAT - Canadian Forces Aptitude Problem Solving: Basic Math Questions and Answers 1
A supply truck travels 240 km from Base A to Base B at a constant speed of 80 km/h.
The driver stops for a 30-minute break during the trip.
What is the total time elapsed from departure to arrival?