Q. The rate of heat transfer by conduction is directly proportional to the area and the temperature gradient. This is described by which law?
A.
Newton's Law of Cooling
B.
Fourier's Law of Heat Conduction
C.
Stefan-Boltzmann Law
D.
Ohm's Law
Solution
Fourier's Law of Heat Conduction states that the rate of heat transfer by conduction is directly proportional to the area and the temperature gradient.
Correct Answer:
B
— Fourier's Law of Heat Conduction
Q. The ratio of the number of cats to dogs in a shelter is 4:3. If there are 28 cats, how many dogs are there?
A.
21
B.
24
C.
18
D.
20
Solution
The ratio of cats to dogs is 4:3. If there are 28 cats, we can set up the proportion: 4/3 = 28/x. Solving for x gives us x = 21. Therefore, there are 21 dogs.
Q. The ratio of the speeds of two cars is 3:4. If the faster car travels 120 km in 2 hours, how far does the slower car travel in the same time?
A.
80
B.
90
C.
100
D.
70
Solution
Let the speeds be 3x and 4x. Given 4x = 60 km/h, x = 15. Therefore, slower car's speed = 3x = 3*15 = 45 km/h. Distance = speed * time = 45 * 2 = 90 km.
Q. The ratio of the speeds of two cars is 3:4. If the first car travels 120 km, how far does the second car travel?
A.
160
B.
150
C.
180
D.
140
Solution
Let the speed of the first car be 3x and the second car be 4x. The distance traveled is proportional to speed. Therefore, if 3x = 120, then 4x = (4/3)*120 = 160.
Q. The recent study on urban pollution indicates that cities with more green spaces have lower levels of air pollution. Which of the following can be inferred from this study?
A.
Urban pollution is solely caused by industrial activities.
B.
Increasing green spaces in cities can help reduce air pollution.
C.
All cities with low air pollution have abundant green spaces.
D.
Air pollution has no correlation with urban planning.
Solution
The study suggests a correlation between green spaces and lower pollution levels, implying that increasing green spaces could help reduce pollution.
Correct Answer:
B
— Increasing green spaces in cities can help reduce air pollution.
Q. The report states that 'increased screen time is linked to higher rates of anxiety among teenagers.' What can be inferred from this statement?
A.
All teenagers with high screen time experience anxiety.
B.
Screen time is the sole cause of anxiety in teenagers.
C.
There is a correlation between screen time and anxiety.
D.
Reducing screen time will eliminate anxiety.
Solution
The statement indicates a correlation between increased screen time and anxiety rates, but does not imply causation or that all teenagers are affected.
Correct Answer:
C
— There is a correlation between screen time and anxiety.
Q. The research findings indicate a significant correlation between sleep quality and cognitive performance, suggesting that improving sleep can lead to ______ outcomes.
A.
detrimental
B.
ambiguous
C.
positive
D.
irrelevant
Solution
The context implies that better sleep leads to better cognitive performance, which is a 'positive' outcome.
Q. The research paper presents a __________ argument for the need to address mental health issues in schools, highlighting both the ethical and practical implications.
A.
flawed
B.
compelling
C.
vague
D.
irrelevant
Solution
The context suggests that the argument is strong and persuasive, making 'compelling' the best choice.