Q. A student scored 75% in Mathematics and 85% in Science. If the total marks for each subject are 200, what is the student's overall percentage? (2023)
A.
80%
B.
82.5%
C.
78%
D.
76%
Solution
Total marks obtained = 75% of 200 + 85% of 200 = 150 + 170 = 320. Total marks = 200 + 200 = 400. Overall percentage = (320/400) * 100 = 80%.
Q. A student scored 75% in Mathematics and 85% in Science. If the weightage of Mathematics is 40% and Science is 60%, what is the overall percentage score of the student? (2023)
Q. A student scored 80% in Mathematics and 70% in Science. If the weightage of Mathematics is 60% and Science is 40%, what is the student's overall percentage?
Q. A study shows that people who consume more fruits and vegetables tend to have lower rates of chronic diseases. What can be inferred from this study?
A.
Eating fruits and vegetables prevents chronic diseases.
B.
All healthy individuals eat a lot of fruits and vegetables.
C.
There is a correlation between diet and health outcomes.
D.
Chronic diseases are caused by poor diet alone.
Solution
The study indicates a correlation between diet and health, but does not establish causation or imply that all healthy individuals have the same diet.
Correct Answer:
C
— There is a correlation between diet and health outcomes.
Q. A study shows that people who read regularly tend to have a larger vocabulary. What can be inferred from this?
A.
Reading increases vocabulary.
B.
People with larger vocabularies read more.
C.
All readers have large vocabularies.
D.
Vocabulary size is unrelated to reading habits.
Solution
The study suggests a correlation where those with larger vocabularies tend to read more, but it does not confirm that reading directly increases vocabulary.
Correct Answer:
B
— People with larger vocabularies read more.
Q. A study shows that students who study in groups perform better than those who study alone. Which of the following can be inferred?
A.
Group study is the only effective way to learn.
B.
All students should study in groups.
C.
Studying alone is ineffective.
D.
Group study may enhance understanding and retention.
Solution
The study indicates a benefit to group study, suggesting it may enhance understanding and retention, but does not claim it is the only method or that all students should use it.
Correct Answer:
D
— Group study may enhance understanding and retention.
Q. A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
Solution
If the principal is P, then at the end of 5 years, the amount is 2P. Simple Interest = Amount - Principal = 2P - P = P. Rate = (SI / (P * Time)) * 100 = (P / (P * 5)) * 100 = 20%.
Q. A sum of money invested at compound interest becomes $1600 in 2 years and $1764 in 3 years. What is the rate of interest?
A.
10%
B.
12%
C.
15%
D.
20%
Solution
The amount increases from $1600 to $1764 in one year, which is an increase of $164. The rate can be calculated as (164/1600) * 100 = 10.25%, which rounds to approximately 12%.