CAST Aptitude Test 1 — Questions and Answers
Question 1: How much force does it take to lift the weight?
- 15 kg (Correct answer)
- 20 kg
- 10 kg
- 30 kg
Correct answer: 15 kg
Because there is only one load bearing section of rope, the force required to lift the weight is the same as the weight itself.
Question 2: How much force is required to lift the weight?
- 75 kg (Correct answer)
- 50 kg
- 300 kg
- 25 kg
Correct answer: 75 kg
Because there are two sections of rope supporting the weight, we can divide the force required to lift the weight 150/2 = 75 kg.
Question 3: How much force does it take to lift the weight?
- 70 kg (Correct answer)
- 140 kg
- 210 kg
- 35kg
Correct answer: 70 kg
Because there is only one load bearing section of rope, the force required to lift the weight is the same as the weight itself. The answer is 70 kg.
Question 4: What is the smallest amount of force required to lift the weight?
- 30 kg
- 8 kg
- 15 kg (Correct answer)
- 45 kg
Correct answer: 15 kg
To determine how much force is required to lift the weight, determine how many sections of the rope are bearing the weight and divide the weight among them. <br><br> 30/ 2 = 15 kg
Question 5: What is the smallest amount of force required to lift the weight?
- 200 kg (Correct answer)
- 1600 kg
- 400 kg
- 600 kg
Correct answer: 200 kg
This pulley system appears to be more complicated than previous examples, but the same principle applies. We divide the weight among the four rope supporting sections. 800 / 4 = 200 kg
Question 6: What is the least amount of force required to lift the weight?
- 120 kg (Correct answer)
- 240 kg
- 480 kg
- 1200 kg
Correct answer: 120 kg
This question implies the use of a pulley system to achieve mechanical advantage. If the weight to be lifted is 480 kg and the required force is 120 kg, the pulley system provides a mechanical advantage of 4 (480 kg / 120 kg). This means you only need to apply one-fourth of the force to lift the weight, making 120 kg the least amount of force required.
How much force does it take to lift the weight?