CFAT - Canadian Forces Aptitude Problem Solving: Logical Reasoning Questions and Answers 1 — Questions and Answers
Question 1: Two reconnaissance drones depart from the same airbase at the same time, flying in opposite directions along a straight line. Drone Alpha flies at a constant speed of 180 km/h. Drone Bravo flies at a constant speed of 220 km/h. How long will it take for the drones to be 1000 km apart?
- 2.0 hours
- 2.5 hours (Correct answer)
- 3.0 hours
- 4.0 hours
Correct answer: 2.5 hours
To find the time it takes for the drones to be 1000 km apart, you must first calculate their combined speed of separation. Since they are flying in opposite directions, their speeds add up: 180 km/h + 220 km/h = 400 km/h. This is their relative speed. Then, use the formula Time = Distance / Speed. Time = 1000 km / 400 km/h = 2.5 hours.
Question 2: Consider the following statements: 1. All soldiers who complete the advanced training course are eligible for promotion. 2. Corporal Evans is not eligible for promotion. Based only on these two statements, which conclusion is logically certain?
- Corporal Evans is a soldier.
- Corporal Evans has not completed the advanced training course. (Correct answer)
- Some soldiers who are eligible for promotion did not complete the advanced training course.
- All soldiers eligible for promotion have completed the advanced training course.
Correct answer: Corporal Evans has not completed the advanced training course.
This is a logical deduction problem (a form of modus tollens). Statement 1 says: If you complete the course (A), then you are eligible for promotion (B). Statement 2 says: Corporal Evans is not eligible for promotion (Not B). The only valid conclusion is that Corporal Evans has not completed the course (Not A). If he had completed the course, he would be eligible.
Question 3: What is the next number in the following sequence: 4, 10, 28, 82, ___?
- 164
- 240
- 244 (Correct answer)
- 248
Correct answer: 244
The pattern in this series involves two steps: multiplying by 3, then subtracting 2. - 4 * 3 = 12; 12 - 2 = 10 - 10 * 3 = 30; 30 - 2 = 28 - 28 * 3 = 84; 84 - 2 = 82 - Following the pattern: 82 * 3 = 246; 246 - 2 = 244.
Question 4: An unfolded cube pattern is laid out in a cross shape. The central vertical column has three squares, marked from top to bottom: Triangle, Circle, Star. A fourth square, marked with a Square, is attached to the left side of the Circle square. If this pattern is folded into a cube, which face will be opposite the Triangle face?
- The Circle face
- The Square face
- The unmarked face to the right of the Circle
- The Star face (Correct answer)
Correct answer: The Star face
In an unfolded cube net, faces that are separated by one other face along a straight line will be opposite each other when the cube is folded. In the vertical column of the pattern (Triangle, Circle, Star), the Triangle and the Star are separated by the Circle. Therefore, the Triangle and the Star are opposite faces.
Question 5: Which letter logically comes next in the following sequence? O, T, T, F, F, S, S, E, __
- N (Correct answer)
- T
- O
- E
Correct answer: N
The letters in the sequence are the first letters of the English words for the cardinal numbers starting from one: One, Two, Three, Four, Five, Six, Seven, Eight. The next number in the sequence is Nine, which starts with the letter 'N'.
Question 6: In a 3x3 grid, a pattern is established. The top row contains a circle, a square, and a triangle. The middle row contains two circles, two squares, and two triangles. The bottom row contains three circles, three squares, and what should be in the final cell?
- Two triangles
- Three circles
- Three triangles (Correct answer)
- Four squares
Correct answer: Three triangles
The logic of the grid follows two rules. First, each row contains all three shapes (circle, square, triangle). Second, the number of shapes in each cell corresponds to its row number. Row 1 has one of each shape. Row 2 has two of each shape. Therefore, Row 3 must have three of each shape. The missing cell is in the third column of the third row, which should contain three triangles to complete the pattern.
CFAT - Canadian Forces Aptitude Problem Solving: Logical Reasoning Questions and Answers 1
Two reconnaissance drones depart from the same airbase at the same time, flying in opposite directions along a straight line.
Drone Alpha flies at a constant speed of 180 km/h.
Drone Bravo flies at a constant speed of 220 km/h.
How long will it take for the drones to be 1000 km apart?