CFAT - Canadian Forces Aptitude Problem Solving: Logical Reasoning 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?

Accepted Answer

2.5 hours

Answer

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?

Accepted Answer

Corporal Evans has not completed the advanced training course.

Answer

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, ___?

Accepted Answer

244

Answer

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?

Accepted Answer

The Star face

Answer

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, __

Accepted Answer

N

Answer

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'.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

CFAT - Canadian Forces Aptitude Problem Solving: Logical Reasoning Questions and Answers