Q. If the scores of 7 students are 50, 60, 70, 80, 90, 100, and 110, what is the median score?
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Solution
Arranging the scores: 50, 60, 70, 80, 90, 100, 110. Median = 80 (4th value).
Correct Answer:
B
— 80
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Q. If the scores of a student are 50, 60, 70, 80, and 90, what is the mode?
A.
50
B.
60
C.
70
D.
No mode
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Solution
All scores occur only once, so there is no mode.
Correct Answer:
D
— No mode
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Q. If the scores of a student in five subjects are 60, 70, 80, 90, and 100, what is the median score?
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Solution
Arranging the scores: 60, 70, 80, 90, 100. Median = 80 (middle value).
Correct Answer:
B
— 80
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Q. If the scores of a student in five subjects are 70, 80, 90, 100, and 60, what is the median score?
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Solution
Median = 80 (middle value when arranged: 60, 70, 80, 90, 100).
Correct Answer:
B
— 80
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Q. If the second term of a geometric progression is 12 and the common ratio is 3, what is the first term?
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Solution
Let the first term be a. The second term is a * r = a * 3 = 12, thus a = 12/3 = 4.
Correct Answer:
A
— 4
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Q. If the second term of a GP is 12 and the common ratio is 2, what is the first term?
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Solution
Let the first term be a. The second term is a * r = a * 2 = 12, thus a = 12/2 = 6.
Correct Answer:
A
— 6
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Q. If the second term of a GP is 12 and the common ratio is 3, what is the first term?
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Solution
Let the first term be a. The second term is a * r = a * 3 = 12, thus a = 12/3 = 4.
Correct Answer:
A
— 4
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Q. If the second term of a GP is 6 and the common ratio is 3, what is the first term?
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Solution
Let the first term be a. The second term is a * r = a * 3 = 6. Thus, a = 6/3 = 2.
Correct Answer:
A
— 2
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Q. If the second term of a GP is 8 and the fourth term is 32, what is the common ratio?
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Solution
Let the first term be a and the common ratio be r. Then, 8 = ar and 32 = ar^3. Dividing these gives r^2 = 4, so r = 2.
Correct Answer:
A
— 2
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Q. If the sediment load of a river increases, what is the most likely effect on the river's flow?
A.
Increased velocity
B.
Decreased velocity
C.
No effect
D.
Increased depth
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Solution
Increased sediment load generally decreases the velocity of the river due to increased friction.
Correct Answer:
B
— Decreased velocity
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Q. If the selections mentioned in the passage are not made carefully, what could be a potential consequence?
A.
Increased satisfaction in life choices.
B.
Regret and missed opportunities.
C.
A clearer understanding of personal values.
D.
Enhanced decision-making skills.
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Solution
The passage implies that if selections are not made carefully, it could lead to regret and missed opportunities, highlighting the importance of thoughtful decision-making.
Correct Answer:
B
— Regret and missed opportunities.
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Q. If the selections mentioned in the passage are not made wisely, what could be a potential consequence?
A.
Increased opportunities for success.
B.
A lack of direction and purpose.
C.
Enhanced creativity and innovation.
D.
Greater collaboration among peers.
Show solution
Solution
The passage implies that if selections are not made wisely, it could lead to a lack of direction and purpose, highlighting the importance of thoughtful decision-making.
Correct Answer:
B
— A lack of direction and purpose.
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Q. If the selections mentioned in the passage were to be altered, what would likely be the consequence?
A.
There would be no impact on the overall outcome.
B.
The meaning and interpretation would change significantly.
C.
The selections would become more diverse.
D.
The selections would be easier to understand.
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Solution
Altering the selections would likely change the meaning and interpretation significantly, as the author emphasizes the impact of choices.
Correct Answer:
B
— The meaning and interpretation would change significantly.
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Q. If the selections mentioned in the passage were to exclude contemporary authors, what impact might that have according to the author? (2020)
A.
It would enhance the understanding of historical contexts.
B.
It would limit students' engagement with current issues.
C.
It would provide a more focused curriculum.
D.
It would not affect the overall learning experience.
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Solution
The author implies that excluding contemporary authors would limit students' engagement with current issues, thereby reducing the relevance of the curriculum.
Correct Answer:
B
— It would limit students' engagement with current issues.
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Q. If the sentence 'The cat sat on the mat' is jumbled, which of the following is a possible correct arrangement?
A.
On the mat sat the cat.
B.
The mat sat on the cat.
C.
Sat the cat on the mat.
D.
The cat on the mat sat.
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Solution
The arrangement 'On the mat sat the cat.' maintains the original meaning.
Correct Answer:
A
— On the mat sat the cat.
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Q. If the sentence 'The quick brown fox jumps over the lazy dog' is jumbled, which of the following is a possible correct arrangement?
A.
The dog jumps over the quick brown fox lazy.
B.
Over the lazy dog jumps the quick brown fox.
C.
The lazy dog jumps over the quick brown fox.
D.
Quick brown fox the lazy dog jumps over.
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Solution
The correct arrangement maintains the original meaning and structure of the sentence.
Correct Answer:
B
— Over the lazy dog jumps the quick brown fox.
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Q. If the sentences are rearranged, which order would make the most logical sense? (2022)
A.
1, 3, 2, 4
B.
2, 1, 4, 3
C.
3, 4, 1, 2
D.
4, 2, 3, 1
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Solution
The first option presents a coherent flow of ideas, making it the most logical arrangement.
Correct Answer:
A
— 1, 3, 2, 4
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Q. If the sequence of numbers is arranged such that 3 is to the left of 5 and 7 is to the right of 5, which of the following is true?
A.
5 is in the middle
B.
3 is the largest number
C.
7 is to the left of 3
D.
5 is the smallest number
Show solution
Solution
In the arrangement, 3 is to the left of 5 and 7 is to the right of 5, making 5 the middle number.
Correct Answer:
A
— 5 is in the middle
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Q. If the shear modulus of a material is 80 GPa, what is the ratio of shear stress to shear strain? (2021)
A.
80 GPa
B.
160 GPa
C.
40 GPa
D.
20 GPa
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Solution
Shear modulus (G) = Shear stress / Shear strain, thus it is 80 GPa.
Correct Answer:
A
— 80 GPa
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Q. If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it? (2022)
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
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Solution
A triangle with sides in the ratio 3:4:5 satisfies the Pythagorean theorem, hence it is a right-angled triangle.
Correct Answer:
D
— Right-angled
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Q. If the sides of a triangle are in the ratio 3:4:5, which type of triangle is it?
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
Show solution
Solution
A triangle with sides in the ratio 3:4:5 is a right-angled triangle, as it satisfies the Pythagorean theorem.
Correct Answer:
D
— Right-angled
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Q. If the sides of triangle ABC are 7 cm, 24 cm, and 25 cm, what is the perimeter of the triangle?
A.
50 cm
B.
55 cm
C.
60 cm
D.
65 cm
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Solution
Perimeter = a + b + c = 7 + 24 + 25 = 56 cm.
Correct Answer:
A
— 50 cm
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Q. If the sides of triangle ABC are in the ratio 3:4:5, what type of triangle is it?
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
Show solution
Solution
A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Correct Answer:
C
— Right
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Q. If the sides of triangle DEF are in the ratio 3:4:5, what type of triangle is it? (2021)
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
Show solution
Solution
A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Correct Answer:
C
— Right
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Q. If the sides of triangle XYZ are in the ratio 3:4:5, what type of triangle is it? (2021)
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
Show solution
Solution
A triangle with sides in the ratio 3:4:5 is a right triangle, as it satisfies the Pythagorean theorem.
Correct Answer:
C
— Right
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Q. If the simple interest on a certain sum for 3 years at 5% per annum is $150, what is the principal amount?
A.
$1000
B.
$1200
C.
$1500
D.
$1800
Show solution
Solution
Using SI = PRT, we have 150 = P * 0.05 * 3. Solving for P gives P = 1000.
Correct Answer:
A
— $1000
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Q. If the simple interest on a sum of money for 3 years is $300 at a rate of 10% per annum, what is the principal?
A.
$1000
B.
$900
C.
$800
D.
$700
Show solution
Solution
SI = Principal × Rate × Time. 300 = Principal × 0.10 × 3. Principal = 300 / 0.30 = $1000.
Correct Answer:
A
— $1000
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Q. If the simple interest on a sum of money for 5 years is $300 at a rate of 4% per annum, what is the principal? (2000)
A.
$1200
B.
$1500
C.
$1800
D.
$2000
Show solution
Solution
Using SI = PRT, we have 300 = P * 4/100 * 5. Solving for P gives P = $1500.
Correct Answer:
A
— $1200
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Q. If the simple interest on a sum of money is $1500 at a rate of 5% per annum for 6 years, what is the principal amount?
A.
$5000
B.
$6000
C.
$4500
D.
$4000
Show solution
Solution
Principal = SI / (r * t) = 1500 / (0.05 * 6) = $5000
Correct Answer:
A
— $5000
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Q. If the simple interest on a sum of money is $240 in 4 years at a rate of 3% per annum, what is the principal amount?
A.
$2000
B.
$1800
C.
$1600
D.
$2200
Show solution
Solution
Simple Interest = P * r * t => P = SI / (r * t) = 240 / (0.03 * 4) = $2000
Correct Answer:
A
— $2000
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