Q. Which of the following statements is true regarding the number '100' in base 3?
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A.
It is equal to 9
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B.
It is equal to 10
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C.
It is equal to 12
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D.
It is equal to 27
Solution
'100' in base 3 is calculated as 1*3^2 + 0*3^1 + 0*3^0 = 9.
Correct Answer: A — It is equal to 9
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Q. Which of the following statements is true regarding the number 36?
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A.
It has exactly 9 factors.
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B.
It is a prime number.
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C.
It is a perfect square.
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D.
It is a multiple of 10.
Solution
36 is a perfect square as it can be expressed as 6 * 6.
Correct Answer: C — It is a perfect square.
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Q. Which of the following statements is true regarding the numbers 8, 12, and 16?
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A.
8 is a multiple of 12
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B.
12 is a factor of 16
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C.
16 is a multiple of 8
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D.
12 is a multiple of 8
Solution
16 is a multiple of 8, as 16 = 8 * 2.
Correct Answer: C — 16 is a multiple of 8
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Q. Which of the following statements is true regarding the points (2, 3), (4, 5), and (6, 7)?
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A.
They are collinear
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B.
They form a triangle
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C.
They are equidistant
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D.
They lie on different lines
Solution
The slope between any two pairs of these points is the same (1), indicating they are collinear.
Correct Answer: A — They are collinear
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Q. Which of the following terms best describes a polygon with all sides and angles equal?
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A.
Irregular polygon
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B.
Convex polygon
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C.
Regular polygon
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D.
Concave polygon
Solution
A polygon with all sides and angles equal is known as a regular polygon.
Correct Answer: C — Regular polygon
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Q. Which of the following terms best describes a polynomial with more than one variable?
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A.
Univariate polynomial
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B.
Multivariate polynomial
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C.
Constant polynomial
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D.
Linear polynomial
Solution
A polynomial that contains more than one variable is referred to as a multivariate polynomial.
Correct Answer: B — Multivariate polynomial
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Q. Which of the following terms describes a line that touches a circle at exactly one point? (2023)
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A.
Chord
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B.
Diameter
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C.
Tangent
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D.
Secant
Solution
A line that touches a circle at exactly one point is called a tangent.
Correct Answer: C — Tangent
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Q. Which of the following terms is NOT a polynomial?
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A.
5x^2 + 3x - 7
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B.
2x^3 - 4x + 1
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C.
3/x + 2
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D.
x^4 + 2x^2 + 1
Solution
The term 3/x is not a polynomial because it contains a negative exponent when rewritten as 3x^(-1).
Correct Answer: C — 3/x + 2
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Q. Which of the following terms is used to describe a line that touches a circle at exactly one point?
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A.
Chord
-
B.
Diameter
-
C.
Tangent
-
D.
Secant
Solution
A tangent is defined as a line that touches a circle at exactly one point.
Correct Answer: C — Tangent
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Q. Which of the following terms refers to a line segment that connects two points on a circle?
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A.
Diameter
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B.
Chord
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C.
Tangent
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D.
Secant
Solution
A chord is defined as a line segment whose endpoints lie on the circle.
Correct Answer: B — Chord
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Q. Which of the following terms refers to a partner who is not involved in day-to-day operations but shares in the profits?
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A.
Active partner
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B.
Silent partner
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C.
General partner
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D.
Equity partner
Solution
A silent partner is one who does not participate in daily operations but is entitled to a share of the profits.
Correct Answer: B — Silent partner
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Q. Which of the following terms refers to a polygon with all sides and angles equal?
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A.
Regular polygon
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B.
Irregular polygon
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C.
Convex polygon
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D.
Concave polygon
Solution
A regular polygon is defined as a polygon where all sides and angles are equal.
Correct Answer: A — Regular polygon
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Q. Which of the following terms refers to the legal document outlining the terms of a partnership?
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A.
Partnership deed
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B.
Business charter
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C.
Operating agreement
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D.
Corporate bylaws
Solution
The legal document that outlines the terms of a partnership is known as the partnership deed.
Correct Answer: A — Partnership deed
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Q. Which of the following terms refers to the middle value in a data set when arranged in ascending order?
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A.
Mean
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B.
Mode
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C.
Median
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D.
Range
Solution
The median is defined as the middle value in a sorted data set, distinguishing it from mean and mode.
Correct Answer: C — Median
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Q. Which of the following transformations would result in a vertical shift of the graph of the function f(x)?
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A.
f(x) + k
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B.
f(x + k)
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C.
kf(x)
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D.
f(kx)
Solution
Adding a constant k to the function f(x) results in a vertical shift of the graph.
Correct Answer: A — f(x) + k
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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.
-
B.
Optional.
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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)
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A.
Calculation.
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B.
Innovation.
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C.
Complexity.
-
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)
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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'?
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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)
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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?
-
A.
Rectangle
-
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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Showing 1711 to 1735 of 1735 (58 Pages)
