Q. Which of the following transformations would result in a vertical shift of the graph of the function f(x) = x^2?
-
A.
f(x) = x^2 + 3
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B.
f(x) = 3x^2
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C.
f(x) = x^2 - 3
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D.
f(x) = 2x^2
Solution
Adding a constant to the function, such as f(x) = x^2 + 3, results in a vertical shift upwards.
Correct Answer:
A
— f(x) = x^2 + 3
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Q. Which of the following triangles has the largest area given the same base?
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A.
Equilateral triangle
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B.
Isosceles triangle
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C.
Scalene triangle
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D.
Right triangle
Solution
For a given base, an equilateral triangle has the maximum area compared to other types of triangles.
Correct Answer:
A
— Equilateral triangle
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Q. Which of the following triangles has the largest area?
-
A.
Triangle with sides 3, 4, 5
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B.
Triangle with sides 5, 12, 13
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C.
Triangle with sides 6, 8, 10
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D.
Triangle with sides 7, 24, 25
Solution
Using the formula for the area of a triangle, the triangle with sides 7, 24, 25 has the largest area due to its larger base and height.
Correct Answer:
D
— Triangle with sides 7, 24, 25
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Q. Which of the following words best captures the author's attitude towards the current state of inequality?
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A.
Pessimistic.
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B.
Indifferent.
-
C.
Concerned.
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D.
Skeptical.
Solution
The author expresses concern about the persistence and impact of inequality in society.
Correct Answer:
C
— Concerned.
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Q. Which of the following words best captures the author's view on the urgency of addressing inequalities?
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A.
Critical.
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B.
Optional.
-
C.
Negligible.
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D.
Controversial.
Solution
The author emphasizes the critical nature of addressing inequalities, suggesting it is an urgent issue.
Correct Answer:
A
— Critical.
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Q. Which of the following words best captures the essence of 'digital sum' as used in the passage? (2023)
-
A.
Calculation.
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B.
Innovation.
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C.
Complexity.
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D.
Obsolescence.
Solution
The word 'calculation' best captures the essence of 'digital sum', as it fundamentally involves the process of adding digits.
Correct Answer:
A
— Calculation.
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Q. Which of the following words best captures the essence of digital sum as described in the passage? (2023)
-
A.
Obsolete.
-
B.
Innovative.
-
C.
Complicated.
-
D.
Irrelevant.
Solution
The passage describes digital sum as innovative, reflecting its role in advancing technology.
Correct Answer:
B
— Innovative.
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Q. Which of the following words from the passage is closest in meaning to 'perpetuate'?
-
A.
End
-
B.
Continue
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C.
Diminish
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D.
Challenge
Solution
In the context of the passage, 'perpetuate' means to continue, as it refers to the ongoing nature of inequalities.
Correct Answer:
B
— Continue
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Q. Which quadrilateral has all sides equal but angles not necessarily equal? (2023)
-
A.
Square
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B.
Rectangle
-
C.
Rhombus
-
D.
Trapezium
Solution
A rhombus has all sides equal, but the angles are not necessarily equal.
Correct Answer:
C
— Rhombus
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Q. Which quadrilateral has diagonals that are not equal and do not bisect each other?
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A.
Rectangle
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B.
Square
-
C.
Kite
-
D.
Trapezium
Solution
In a trapezium, the diagonals are not equal and do not bisect each other.
Correct Answer:
D
— Trapezium
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Q. Which quadrilateral has diagonals that are perpendicular bisectors of each other?
-
A.
Rectangle
-
B.
Parallelogram
-
C.
Rhombus
-
D.
Trapezium
Solution
In a rhombus, the diagonals are perpendicular bisectors of each other.
Correct Answer:
C
— Rhombus
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Q. Which quadrilateral has two pairs of adjacent sides that are equal?
-
A.
Rectangle
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B.
Square
-
C.
Kite
-
D.
Trapezium
Solution
A kite has two pairs of adjacent sides that are equal.
Correct Answer:
C
— Kite
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Q. Which vocabulary word in the passage best describes the nature of digital sum?
-
A.
Obsolete.
-
B.
Innovative.
-
C.
Complicated.
-
D.
Redundant.
Solution
The passage characterizes digital sum as innovative, highlighting its modern applications.
Correct Answer:
B
— Innovative.
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