Q. What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?
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A.
120 cm²
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B.
60 cm²
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C.
80 cm²
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D.
100 cm²
Solution
Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².
Correct Answer: A — 120 cm²
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Q. What is the area of a triangle formed by the points (0, 0), (4, 0), and (0, 3)?
Solution
The area of a triangle is given by (1/2) * base * height. Here, base = 4 and height = 3, so area = (1/2) * 4 * 3 = 6.
Correct Answer: A — 6
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Q. What is the area of a triangle with a base of 10 cm and a height of 5 cm?
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A.
25 cm²
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B.
50 cm²
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C.
15 cm²
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D.
30 cm²
Solution
The area of a triangle is given by the formula (1/2) * base * height. Thus, Area = (1/2) * 10 * 5 = 25 cm².
Correct Answer: A — 25 cm²
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Q. What is the author's intent in contrasting different economic models in the passage? (2023)
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A.
To highlight their similarities
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B.
To advocate for one model
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C.
To confuse the reader
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D.
To illustrate the complexity of economics
Solution
The author contrasts different models to illustrate the complexity and nuances of economic theories.
Correct Answer: D — To illustrate the complexity of economics
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Q. What is the author's main argument regarding the future of social media?
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A.
It will become obsolete.
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B.
It will continue to evolve and influence society.
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C.
It will be replaced by traditional media.
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D.
It will lead to increased privacy concerns.
Solution
The author suggests that social media will evolve and continue to play a significant role in society, making option 1 the main argument.
Correct Answer: B — It will continue to evolve and influence society.
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Q. What is the author's main purpose in discussing historical events in the passage?
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A.
To entertain the reader
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B.
To draw parallels with current events
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C.
To provide a factual account
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D.
To criticize past leaders
Solution
The author draws parallels between historical events and current issues to highlight recurring themes.
Correct Answer: B — To draw parallels with current events
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Q. What is the author's perspective on the importance of mental health awareness?
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A.
Mental health awareness is overrated.
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B.
Mental health awareness is crucial for societal well-being.
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C.
Mental health issues are not prevalent in society.
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D.
Mental health awareness should be limited to professionals.
Solution
The passage stresses the importance of mental health awareness in reducing stigma and promoting overall societal health.
Correct Answer: B — Mental health awareness is crucial for societal well-being.
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Q. What is the author's stance on future research in the field discussed?
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A.
The author believes it is unnecessary.
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B.
The author is optimistic about its potential.
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C.
The author is skeptical of its value.
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D.
The author is indifferent to future research.
Solution
The author expresses optimism about future research, highlighting its potential to advance understanding in the field.
Correct Answer: B — The author is optimistic about its potential.
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Q. What is the author's stance on individual responsibility in conservation?
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A.
It is minimal compared to government action.
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B.
It is crucial for effective change.
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C.
It should be avoided to prevent blame.
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D.
It is only relevant in developed countries.
Solution
The author emphasizes the importance of individual responsibility in conservation efforts, making option 1 the correct answer.
Correct Answer: B — It is crucial for effective change.
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Q. What is the author's stance on the impact of social media on communication? (2022)
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A.
Social media has improved communication significantly.
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B.
Social media has no real impact on communication.
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C.
Social media has led to a decline in meaningful communication.
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D.
Social media is only beneficial for businesses.
Solution
The author argues that social media has contributed to a decline in meaningful communication, despite its widespread use.
Correct Answer: C — Social media has led to a decline in meaningful communication.
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Q. What is the author's stance on the importance of biodiversity as discussed in the passage?
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A.
Biodiversity is essential for ecosystem health.
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B.
Biodiversity is not a priority for conservation efforts.
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C.
Biodiversity only benefits certain species.
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D.
Biodiversity loss is inevitable.
Solution
The author stresses that biodiversity is crucial for maintaining healthy ecosystems and supporting life on Earth.
Correct Answer: A — Biodiversity is essential for ecosystem health.
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Q. What is the author's stance on the role of government in addressing inequalities?
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A.
Governments should take a hands-off approach.
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B.
Governments have a responsibility to intervene.
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C.
Governments are the main cause of inequalities.
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D.
Governments should focus on economic growth only.
Solution
The passage indicates that the author believes governments should actively intervene to address inequalities.
Correct Answer: B — Governments have a responsibility to intervene.
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Q. What is the author's stance on the role of government in economic regulation? (2022)
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A.
Governments should have minimal involvement.
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B.
Government regulation is essential for economic stability.
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C.
All forms of regulation are detrimental to growth.
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D.
Governments should only intervene in crises.
Solution
The author argues that government regulation is crucial for maintaining economic stability, making option B the correct stance.
Correct Answer: B — Government regulation is essential for economic stability.
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Q. What is the author's stance on the role of government in environmental issues? (2023)
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A.
Governments should take a backseat in environmental matters.
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B.
Government intervention is crucial for effective policy implementation.
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C.
Governments are often the main contributors to environmental degradation.
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D.
Government regulations hinder environmental progress.
Solution
The author argues that government intervention is essential for creating and enforcing effective environmental policies.
Correct Answer: B — Government intervention is crucial for effective policy implementation.
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Q. What is the author's tone in the passage?
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A.
Optimistic and encouraging.
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B.
Critical and skeptical.
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C.
Neutral and informative.
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D.
Pessimistic and dismissive.
Solution
The author's tone is optimistic and encouraging, as they highlight positive aspects of the subject matter.
Correct Answer: A — Optimistic and encouraging.
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Q. What is the author's viewpoint on technology in education as presented in the passage? (2021)
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A.
Technology hinders the learning process.
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B.
Technology is essential for modern education.
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C.
Technology should be avoided in classrooms.
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D.
Technology only benefits students from affluent backgrounds.
Solution
The author emphasizes that technology plays a crucial role in enhancing educational experiences and making learning more accessible.
Correct Answer: B — Technology is essential for modern education.
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Q. What is the base of the logarithm if log_3(81) = 4?
Solution
Since 81 is 3^4, the base of the logarithm is 3.
Correct Answer: A — 3
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Q. What is the base of the logarithm if log_b(1) = 0?
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A.
Any positive number
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B.
1
-
C.
0
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D.
Undefined
Solution
For any base b > 0, log_b(1) = 0, since b^0 = 1.
Correct Answer: A — Any positive number
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Q. What is the central argument of the text regarding the significance of art in society? (2022)
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A.
Art is a luxury that society can do without.
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B.
Art plays a crucial role in cultural expression and social change.
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C.
Art is only important for the elite.
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D.
Art has no real impact on society.
Solution
The text argues that art is vital for cultural expression and can drive social change, highlighting its importance in society.
Correct Answer: B — Art plays a crucial role in cultural expression and social change.
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Q. What is the central theme of the article on the benefits of reading? (2020)
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A.
Reading is a waste of time.
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B.
Reading enhances cognitive skills and empathy.
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C.
Reading should be limited to academic texts.
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D.
Reading is only beneficial for children.
Solution
The article discusses how reading not only improves cognitive abilities but also fosters empathy and understanding of diverse perspectives.
Correct Answer: B — Reading enhances cognitive skills and empathy.
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Q. What is the central theme of the passage regarding globalization? (2021)
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A.
Globalization benefits only developed countries.
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B.
Globalization leads to cultural homogenization.
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C.
Globalization has no impact on local economies.
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D.
Globalization fosters international cooperation.
Solution
The passage discusses how globalization can lead to cultural homogenization, affecting local traditions and identities.
Correct Answer: B — Globalization leads to cultural homogenization.
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Q. What is the central theme of the passage regarding the role of education in society?
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A.
Education is solely for acquiring job skills.
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B.
Education fosters critical thinking and civic responsibility.
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C.
Education should be privatized for better quality.
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D.
Education is less important in the digital age.
Solution
The passage emphasizes that education plays a crucial role in developing critical thinking and fostering responsible citizenship.
Correct Answer: B — Education fosters critical thinking and civic responsibility.
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Q. What is the common difference in the arithmetic sequence 10, 15, 20, 25? (2023)
Solution
The common difference is found by subtracting any two consecutive terms: 15 - 10 = 5.
Correct Answer: A — 5
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Q. What is the decimal equivalent of the base-8 number '57'?
Solution
'57' in base-8 is 5*8 + 7 = 40 + 7 = 47 in decimal.
Correct Answer: A — 47
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Q. What is the decimal equivalent of the binary number 1010?
Solution
The binary number 1010 is equivalent to the decimal number 10.
Correct Answer: B — 10
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Q. What is the difference between the amounts obtained by investing $1000 at 8% per annum for 2 years in simple interest and compound interest?
-
A.
$16
-
B.
$24
-
C.
$32
-
D.
$40
Solution
SI = 1000 * 8/100 * 2 = $160. CI = 1000(1 + 0.08)^2 = $1166.4. Difference = $1166.4 - $160 = $24.
Correct Answer: B — $24
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Q. What is the distance between the points (1, 1) and (4, 5)?
Solution
Using the distance formula, d = √[(x2 - x1)² + (y2 - y1)²] = √[(4 - 1)² + (5 - 1)²] = √[3² + 4²] = √[9 + 16] = √25 = 5.
Correct Answer: C — 5
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Q. What is the divisibility rule for 9?
-
A.
The number must be even
-
B.
The sum of the digits must be divisible by 9
-
C.
The last digit must be 0
-
D.
The number must be a multiple of 3
Solution
A number is divisible by 9 if the sum of its digits is divisible by 9.
Correct Answer: B — The sum of the digits must be divisible by 9
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Q. What is the effect of the author's use of rhetorical questions in the passage?
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A.
To confuse the reader
-
B.
To provoke thought and engagement
-
C.
To provide clear answers
-
D.
To dismiss opposing viewpoints
Solution
The use of rhetorical questions is intended to provoke thought and engagement from the reader, encouraging them to reflect on the issues presented.
Correct Answer: B — To provoke thought and engagement
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Q. What is the geometric interpretation of the solution to a system of linear equations?
-
A.
The area enclosed by the lines
-
B.
The point of intersection of the lines
-
C.
The distance between the lines
-
D.
The angle between the lines
Solution
The solution represents the point where the lines intersect, if they do.
Correct Answer: B — The point of intersection of the lines
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