CFAT Problem Solving

Question 1

A lamp's watt rating is 60. After 10 hours of operation, how many kWh does it consume?

Accepted Answer

0.6 kWh

Answer

To calculate energy consumption in kilowatt-hours (kWh), multiply the power in watts by the time in hours, then divide by 1000. Here, (60 Watts * 10 Hours) / 1000 = 600 / 1000 = 0.6 kWh. This conversion is essential for understanding electricity usage.

Question 2

A pair of identically dense balls, one big and one small, are rolled in the same direction 
at the same pace. What will happen to the bigger ball when they collide?

Accepted Answer

Continue Forward

Answer

This scenario involves principles of momentum and inertia. The larger ball, despite having the same density and initial speed, possesses greater mass and therefore greater momentum than the smaller ball. Upon collision, the larger ball will transfer some momentum to the smaller ball, but its own greater inertia will cause it to continue moving forward, albeit potentially at a slightly reduced speed, rather than being propelled backward.

Question 3

A swimming pool measuring 22 feet long, 10 feet broad, and 5 feet tall holds how many 
cubic feet of water?

Accepted Answer

1100

Answer

The volume of a rectangular prism, such as a swimming pool, is calculated by multiplying its length, width (broad), and height (tall). So, Volume = 22 feet * 10 feet * 5 feet = 1100 cubic feet. This is a straightforward application of the volume formula.

Question 4

A pie is sliced so that one piece, one-quarter of the pie, is twice the size of the other 
portions. How many pieces of pie are cut?

Accepted Answer

7

Answer

First, one piece is 1/4 of the pie. The remaining 3/4 of the pie is divided into smaller portions. Since the large piece (1/4) is twice the size of the other portions, each small portion is (1/4) / 2 = 1/8 of the pie. The remaining 3/4 of the pie consists of (3/4) / (1/8) = 6 small pieces. Adding the one large piece, there are a total of 1 + 6 = 7 pieces.

Question 5

Rose buys 7 apples, gives three to Samantha, and then gives Gary half of what is left. 
How many apples does Gary receive?

Accepted Answer

2

Answer

Rose starts with 7 apples. After giving 3 to Samantha, she has 7 - 3 = 4 apples remaining. She then gives Gary half of these remaining apples, which is 4 / 2 = 2 apples. Therefore, Gary receives 2 apples.

(CFAT) Canadian Forces Aptitude Test Practice Test

(CFAT) Canadian Forces Aptitude Test Practice Test

CFAT Problem Solving