Q. In the series 2, 5, 10, 17, what is the pattern in the differences between consecutive terms? (2023)
A.
Increasing by 1
B.
Increasing by 2
C.
Increasing by 3
D.
Increasing by 4
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Solution
The differences are 3, 5, 7, which are increasing by 2 each time.
Correct Answer:
C
— Increasing by 3
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Q. In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
A.
Add consecutive odd numbers
B.
Add consecutive even numbers
C.
Multiply by 2
D.
Subtract 1
Show solution
Solution
The pattern is to add consecutive odd numbers: 2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17. The next term is 17 + 9 = 26.
Correct Answer:
A
— Add consecutive odd numbers
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Q. In triangle ABC, if angle A is 30 degrees and angle B is 60 degrees, what is the measure of angle C?
A.
30 degrees
B.
60 degrees
C.
90 degrees
D.
120 degrees
Show solution
Solution
Using the property that the sum of angles in a triangle is 180 degrees, angle C can be calculated as 180 - (30 + 60) = 90 degrees.
Correct Answer:
C
— 90 degrees
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Q. In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what is the type of triangle?
A.
Scalene
B.
Isosceles
C.
Equilateral
D.
Right
Show solution
Solution
Since two angles are equal (45 degrees), triangle DEF is an isosceles triangle.
Correct Answer:
B
— Isosceles
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Q. In triangle DEF, if angle D is 45 degrees and angle E is 45 degrees, what type of triangle is DEF?
A.
Scalene
B.
Isosceles
C.
Equilateral
D.
Right-angled
Show solution
Solution
Since two angles are equal (45 degrees each), triangle DEF is an isosceles triangle.
Correct Answer:
B
— Isosceles
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Q. In triangle DEF, if angle D is 90 degrees and the lengths of the legs are 6 cm and 8 cm, what is the length of the hypotenuse?
A.
10 cm
B.
12 cm
C.
14 cm
D.
16 cm
Show solution
Solution
Using the Pythagorean theorem, hypotenuse = √(6² + 8²) = √(36 + 64) = √100 = 10 cm.
Correct Answer:
A
— 10 cm
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Q. In triangle XYZ, if side XY = 8 cm, side YZ = 6 cm, and side XZ = 10 cm, which of the following is true?
A.
It is a right triangle.
B.
It is an obtuse triangle.
C.
It is an acute triangle.
D.
It cannot be classified.
Show solution
Solution
Using the Pythagorean theorem, since 10^2 = 8^2 + 6^2 (100 = 64 + 36), triangle XYZ is a right triangle.
Correct Answer:
A
— It is a right triangle.
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Q. In triangle XYZ, if side XY is 8 cm, side YZ is 6 cm, and angle X is 45 degrees, which method can be used to find the length of side XZ?
A.
Pythagorean theorem
B.
Sine rule
C.
Cosine rule
D.
Area formula
Show solution
Solution
To find the length of side XZ when two sides and the included angle are known, the Cosine rule is applicable.
Correct Answer:
C
— Cosine rule
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Q. In triangle XYZ, if side XY is 8 cm, side YZ is 6 cm, and side XZ is 10 cm, which of the following is true?
A.
It is a right triangle.
B.
It is an isosceles triangle.
C.
It is an equilateral triangle.
D.
It is a scalene triangle.
Show solution
Solution
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Correct Answer:
D
— It is a scalene triangle.
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Q. In triangle XYZ, if XY = 5 cm, YZ = 12 cm, and XZ = 13 cm, what type of triangle is it?
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
Show solution
Solution
Using the Pythagorean theorem, since 5^2 + 12^2 = 25 + 144 = 169 = 13^2, triangle XYZ is a right triangle.
Correct Answer:
C
— Right
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Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
A.
It is an equilateral triangle.
B.
It is an isosceles triangle.
C.
It is a scalene triangle.
D.
It is a right triangle.
Show solution
Solution
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Correct Answer:
C
— It is a scalene triangle.
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Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which side is the longest?
A.
XY
B.
YZ
C.
XZ
D.
All sides are equal
Show solution
Solution
The longest side in triangle XYZ is XZ, which measures 10 cm.
Correct Answer:
C
— XZ
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Q. Rearrange the following words to form a meaningful sentence: 'the', 'in', 'was', 'park', 'dog', 'running'.
A.
The dog was running in park.
B.
In the park was running the dog.
C.
The dog was running in the park.
D.
Running in the park was the dog.
Show solution
Solution
The correct arrangement is 'The dog was running in the park.'
Correct Answer:
C
— The dog was running in the park.
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Q. Research indicates that people who read regularly tend to have a larger vocabulary. What can be inferred from this research?
A.
Reading is the only way to improve vocabulary.
B.
All people with large vocabularies read regularly.
C.
There is a correlation between reading and vocabulary size.
D.
Vocabulary size does not depend on reading habits.
Show solution
Solution
The research indicates a correlation between regular reading and vocabulary size, but does not imply that reading is the only method to improve vocabulary.
Correct Answer:
C
— There is a correlation between reading and vocabulary size.
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Q. Research indicates that students who study in groups tend to retain information better than those who study alone. What can be inferred from this research?
A.
Studying alone is ineffective for information retention.
B.
Group study is the only effective method for learning.
C.
Studying in groups may enhance information retention.
D.
All students should study in groups to succeed.
Show solution
Solution
The research suggests that group study may improve information retention compared to studying alone.
Correct Answer:
C
— Studying in groups may enhance information retention.
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Q. Select the item that does not fit within the context of technology. (2023)
A.
Artificial Intelligence
B.
Blockchain
C.
Quantum Computing
D.
Philosophy
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Solution
Philosophy is not a technological concept, while the others are all related to advancements in technology.
Correct Answer:
D
— Philosophy
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Q. Select the option that best completes the analogy: 'Teacher is to Classroom as __________ is to __________.'
A.
Doctor; Hospital
B.
Chef; Kitchen
C.
Artist; Gallery
D.
Writer; Library
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Solution
Both a teacher and a chef operate in their respective environments, making the analogy valid.
Correct Answer:
B
— Chef; Kitchen
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Q. Select the option that does not fit with the others in terms of historical significance.
A.
World War I
B.
The Great Depression
C.
The Renaissance
D.
The Internet
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Solution
The Internet is a technological development rather than a historical event or period like the others.
Correct Answer:
D
— The Internet
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Q. Select the sentence that does not fit with the others in terms of tone. (2020)
A.
The storm caused significant damage to the town.
B.
Residents were devastated by the loss of their homes.
C.
The community came together to rebuild.
D.
The weather was perfect for a picnic.
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Solution
The last sentence has a positive tone, while the others discuss the negative impact of a storm.
Correct Answer:
D
— The weather was perfect for a picnic.
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Q. Select the statement that does not align with the principles of democracy.
A.
Free and fair elections.
B.
Majority rule.
C.
Censorship of the press.
D.
Protection of minority rights.
Show solution
Solution
Censorship of the press contradicts democratic principles, while the others support democratic values.
Correct Answer:
C
— Censorship of the press.
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Q. Select the word that does not align with the concept of leadership.
A.
Visionary
B.
Inspiration
C.
Authority
D.
Compliance
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Solution
'Compliance' refers to following rules or standards, which is not inherently a leadership quality, unlike the other options.
Correct Answer:
D
— Compliance
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Q. Select the word that does not align with the others in terms of meaning.
A.
Benevolent
B.
Malicious
C.
Kind
D.
Generous
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Solution
Malicious means intending to do harm, while the others convey positive traits.
Correct Answer:
B
— Malicious
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Q. Select the word that does not align with the theme of emotions.
A.
Joy
B.
Anger
C.
Happiness
D.
Algorithm
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Solution
'Algorithm' is a mathematical term, while the other three words are emotions.
Correct Answer:
D
— Algorithm
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Q. Select the word that does not fit with the others in terms of connotation. (2023)
A.
Joyful
B.
Ecstatic
C.
Melancholic
D.
Elated
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Solution
Melancholic has a negative connotation, while the others express positive emotions.
Correct Answer:
C
— Melancholic
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Q. Select the word that does not fit with the others in terms of usage. (2020)
A.
Analyze
B.
Examine
C.
Scrutinize
D.
Ignore
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Solution
Ignore is the odd one out as it means to pay no attention, while the others involve careful observation.
Correct Answer:
D
— Ignore
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Q. Select the word that does not share a common theme with the others.
A.
Benevolent
B.
Malicious
C.
Kind
D.
Generous
Show solution
Solution
Malicious is the odd one out as it conveys a negative connotation, while the others are positive traits.
Correct Answer:
B
— Malicious
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Q. Select the word that is least associated with the concept of 'leadership'. (2023)
A.
Inspiration
B.
Authority
C.
Subordination
D.
Vision
Show solution
Solution
Subordination implies following rather than leading, making it the odd one out.
Correct Answer:
C
— Subordination
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Q. Select the word that is least related to the concept of 'education'. (2023)
A.
Learning
B.
Teaching
C.
Training
D.
Distraction
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Solution
Distraction is unrelated to education, while the other options are integral components of the educational process.
Correct Answer:
D
— Distraction
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Q. Select the word that is least related to the concept of 'growth'. (2023)
A.
Development
B.
Decline
C.
Progress
D.
Expansion
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Solution
Decline is the opposite of growth, while the others are associated with positive growth.
Correct Answer:
B
— Decline
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Q. Select the word that is least related to the concept of teamwork. (2020)
A.
Collaboration
B.
Synergy
C.
Isolation
D.
Cooperation
Show solution
Solution
Isolation is the odd one out as it implies being alone, contrary to the essence of teamwork.
Correct Answer:
C
— Isolation
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