CAST Reasoning Test 1 — Questions and Answers
Question 1: How many kilograms is 0.035 grams?
- 0.000035 (Correct answer)
- .035
- 3500
- 0.0035
Correct answer: 0.000035
To convert grams to kilograms, you must divide the number of grams by 1000, since there are 1000 grams in 1 kilogram. Therefore, 0.035 grams divided by 1000 equals 0.000035 kilograms. This involves shifting the decimal point three places to the left.
Question 2: How many inches are there in ten fathoms?
- 720 (Correct answer)
- .72
- .720
- 7200
Correct answer: 720
To convert fathoms to inches, you need to use two conversion factors. First, convert fathoms to feet, knowing that 1 fathom equals 6 feet. So, 10 fathoms is 10 * 6 = 60 feet. Next, convert feet to inches, knowing that 1 foot equals 12 inches. Therefore, 60 feet * 12 inches/foot = 720 inches.
Question 3: A light car and a heavy truck approach each other at the same speed. Will they travel in which direction if they collide?
- Right
- Left (Correct answer)
- Nothing will happen
- Backwards
Correct answer: Left
According to the principle of conservation of momentum, the total momentum of the system before a collision equals the total momentum after. Since the heavy truck has significantly more mass than the light car, even though they have the same speed, the truck possesses a greater magnitude of momentum. Consequently, after they collide, the combined wreckage will continue to move in the initial direction of the heavier truck, which is 'Left' in this scenario.
Question 4: How many fathoms is 12 feet?
- 2 (Correct answer)
- 4
- 6
- 12
Correct answer: 2
To convert feet to fathoms, you need to know that 1 fathom is equivalent to 6 feet. Therefore, to find out how many fathoms are in 12 feet, you divide 12 feet by 6 feet per fathom, which results in 2 fathoms.
Question 5: How many furlongs are there in 60 rods?
- 1.5 (Correct answer)
- .150
- .015
- 150
Correct answer: 1.5
To convert rods to furlongs, you need to know the conversion factor: 1 furlong is equal to 40 rods. Therefore, to find out how many furlongs are in 60 rods, you divide 60 rods by 40 rods per furlong, which gives you 1.5 furlongs.
Question 6: One large central gear drives a pair of identical gears. Which gear rotates the fastest?
- The largest one
- The one in the middle
- The smallest one
- They'll spin equally (Correct answer)
Correct answer: They'll spin equally
When a central gear drives two identical gears, those two identical gears will rotate at the same speed. Since they have the same number of teeth and are being driven by the same central gear, their angular velocities will be equal. While the central gear's speed might differ, the two identical gears will match each other's rotational speed.
CAST Reasoning Test 1
How many kilograms is 0.035 grams?