Q. Which of the following statements about a rectangle is false?
-
A.
All angles are right angles.
-
B.
Opposite sides are equal.
-
C.
Diagonals are equal and bisect each other.
-
D.
All sides are equal.
Solution
In a rectangle, all angles are right angles and opposite sides are equal, but not all sides are equal.
Correct Answer:
D
— All sides are equal.
Learn More →
Q. Which of the following statements about a rectangle is true?
-
A.
All sides are equal
-
B.
Opposite sides are equal and all angles are 90 degrees
-
C.
Diagonals are perpendicular
-
D.
Only one pair of opposite sides is equal
Solution
In a rectangle, opposite sides are equal and all angles are indeed 90 degrees.
Correct Answer:
B
— Opposite sides are equal and all angles are 90 degrees
Learn More →
Q. Which of the following statements about a rhombus is false?
-
A.
All sides are equal.
-
B.
Opposite angles are equal.
-
C.
Diagonals bisect each other at right angles.
-
D.
All angles are right angles.
Solution
In a rhombus, while all sides are equal and diagonals bisect at right angles, not all angles are right angles.
Correct Answer:
D
— All angles are right angles.
Learn More →
Q. Which of the following statements about a rhombus is incorrect?
-
A.
All sides are equal.
-
B.
Diagonals bisect each other at right angles.
-
C.
Diagonals are equal in length.
-
D.
Opposite angles are equal.
Solution
In a rhombus, while all sides are equal and diagonals bisect each other at right angles, the diagonals are not equal in length.
Correct Answer:
C
— Diagonals are equal in length.
Learn More →
Q. Which of the following statements about a square is false?
-
A.
All sides are equal.
-
B.
All angles are right angles.
-
C.
Diagonals are equal and bisect each other.
-
D.
Diagonals are perpendicular to each other.
Solution
While the diagonals of a square are equal and bisect each other, they are not necessarily perpendicular to each other in all quadrilaterals.
Correct Answer:
D
— Diagonals are perpendicular to each other.
Learn More →
Q. Which of the following statements about an arithmetic progression is true?
-
A.
The sum of any two terms is always even.
-
B.
The difference between any two consecutive terms is constant.
-
C.
The product of any two terms is constant.
-
D.
The terms are always positive.
Solution
In an arithmetic progression, the difference between any two consecutive terms is indeed constant, which defines the sequence.
Correct Answer:
B
— The difference between any two consecutive terms is constant.
Learn More →
Q. Which of the following statements about an equilateral triangle is true?
-
A.
All sides are equal
-
B.
All angles are 60 degrees
-
C.
It has one obtuse angle
-
D.
It can be isosceles
Solution
In an equilateral triangle, all sides are equal and all angles measure 60 degrees.
Correct Answer:
A
— All sides are equal
Learn More →
Q. Which of the following statements about angles formed by intersecting lines is false? (2023)
-
A.
Vertical angles are equal
-
B.
Adjacent angles are supplementary
-
C.
Linear pairs are equal
-
D.
Opposite angles are equal
Solution
Linear pairs are not equal; they are supplementary, meaning they add up to 180 degrees.
Correct Answer:
C
— Linear pairs are equal
Learn More →
Q. Which of the following statements about angles formed by intersecting lines is true?
-
A.
Vertical angles are always supplementary.
-
B.
Adjacent angles are always equal.
-
C.
Linear pairs of angles are supplementary.
-
D.
All angles formed are acute.
Solution
Linear pairs of angles formed by intersecting lines are always supplementary, meaning they add up to 180 degrees.
Correct Answer:
C
— Linear pairs of angles are supplementary.
Learn More →
Q. Which of the following statements about angles in a circle is true?
-
A.
The angle subtended by a diameter is always acute.
-
B.
Angles subtended by the same arc are equal.
-
C.
The sum of angles in a circle is 360 degrees.
-
D.
All angles in a circle are equal.
Solution
Angles subtended by the same arc at the circumference of a circle are equal.
Correct Answer:
B
— Angles subtended by the same arc are equal.
Learn More →
Q. Which of the following statements about base systems is incorrect? (2023)
-
A.
Base 2 is used in digital electronics.
-
B.
Base 10 is the most widely used numeral system.
-
C.
Base 16 can represent more values than base 10.
-
D.
Base 8 is more efficient than base 2.
Solution
Base 8 (octal) is not more efficient than base 2 (binary); it simply represents values in a different way.
Correct Answer:
D
— Base 8 is more efficient than base 2.
Learn More →
Q. Which of the following statements about constraint-based sets is correct?
-
A.
All elements in a constraint-based set must be unique.
-
B.
Constraints can be both inclusive and exclusive.
-
C.
Constraints do not affect the size of the set.
-
D.
All elements must be integers.
Solution
Constraints can be both inclusive (allowing certain elements) and exclusive (disallowing others), affecting the composition of the set.
Correct Answer:
B
— Constraints can be both inclusive and exclusive.
Learn More →
Q. Which of the following statements about constraint-based sets is true?
-
A.
All constraints are equal in importance.
-
B.
Constraints can be hierarchical.
-
C.
Constraints do not affect the outcome.
-
D.
Constraints are always numerical.
Solution
Constraints can be hierarchical, meaning some constraints may take precedence over others in determining set membership.
Correct Answer:
B
— Constraints can be hierarchical.
Learn More →
Q. Which of the following statements about constraints in set theory is FALSE?
-
A.
Constraints can be both inclusive and exclusive.
-
B.
Constraints can change the nature of the set.
-
C.
All constraints must be numerical.
-
D.
Constraints help in defining subsets.
Solution
The statement that 'all constraints must be numerical' is false; constraints can be based on various properties, not just numerical.
Correct Answer:
C
— All constraints must be numerical.
Learn More →
Q. Which of the following statements about exponents is false?
-
A.
a^m * a^n = a^(m+n)
-
B.
a^m / a^n = a^(m-n)
-
C.
a^0 = 0
-
D.
a^(-n) = 1/a^n
Solution
The statement a^0 = 0 is false; in fact, a^0 = 1 for any non-zero a.
Correct Answer:
C
— a^0 = 0
Learn More →
Q. Which of the following statements about exponents is incorrect?
-
A.
a^(m+n) = a^m * a^n
-
B.
a^(m-n) = a^m / a^n
-
C.
a^m * b^m = (ab)^m
-
D.
a^m + a^n = a^(m+n)
Solution
The statement a^m + a^n = a^(m+n) is incorrect; addition of exponents does not apply in this manner.
Correct Answer:
D
— a^m + a^n = a^(m+n)
Learn More →
Q. Which of the following statements about factors and multiples is correct? (2023)
-
A.
Every multiple of a number is also a factor of that number.
-
B.
Factors of a number are always greater than the number itself.
-
C.
A number can have an infinite number of multiples.
-
D.
The smallest multiple of any number is always the number itself.
Solution
A number can have an infinite number of multiples, as you can keep adding the number to itself indefinitely.
Correct Answer:
C
— A number can have an infinite number of multiples.
Learn More →
Q. Which of the following statements about factors and multiples is incorrect? (2023)
-
A.
Every multiple of a number is greater than or equal to that number.
-
B.
A number can have an infinite number of factors.
-
C.
The product of two numbers is always a multiple of both.
-
D.
A factor of a number is always greater than the number.
Solution
A factor of a number is always less than or equal to that number, making the last statement incorrect.
Correct Answer:
D
— A factor of a number is always greater than the number.
Learn More →
Q. Which of the following statements about factors is incorrect?
-
A.
Every number has at least two factors.
-
B.
Factors can be negative.
-
C.
The number itself is always a factor.
-
D.
Factors of a prime number are only 1 and the number itself.
Solution
Every number has at least two factors: 1 and the number itself, but some numbers can have more than two factors.
Correct Answer:
A
— Every number has at least two factors.
Learn More →
Q. Which of the following statements about geometric progressions is true?
-
A.
The ratio of consecutive terms is constant.
-
B.
The sum of terms is always positive.
-
C.
The first term must be greater than the second.
-
D.
The common ratio can only be an integer.
Solution
In a geometric progression, the ratio of consecutive terms is indeed constant, which defines the progression.
Correct Answer:
A
— The ratio of consecutive terms is constant.
Learn More →
Q. Which of the following statements about harmonic progression is false?
-
A.
The sum of the terms is finite
-
B.
The terms can be negative
-
C.
The terms can be zero
-
D.
The terms can be fractions
Solution
In a harmonic progression, terms cannot be zero as it would make the reciprocal undefined.
Correct Answer:
C
— The terms can be zero
Learn More →
Q. Which of the following statements about harmonic progression is true?
-
A.
The sum of the terms is always positive.
-
B.
The terms can be negative.
-
C.
The terms are always integers.
-
D.
The common difference is always positive.
Solution
In a harmonic progression, the terms can be negative as long as their reciprocals form an arithmetic progression.
Correct Answer:
B
— The terms can be negative.
Learn More →
Q. Which of the following statements about hybrid sets is true?
-
A.
Hybrid sets can only contain numerical elements.
-
B.
The union of two hybrid sets is always a hybrid set.
-
C.
Hybrid sets cannot be empty.
-
D.
The intersection of two hybrid sets is always empty.
Solution
The union of two hybrid sets combines all unique elements from both sets, thus it remains a hybrid set.
Correct Answer:
B
— The union of two hybrid sets is always a hybrid set.
Learn More →
Q. Which of the following statements about multiples is true?
-
A.
The multiples of a number are infinite.
-
B.
The multiples of a number are always positive.
-
C.
The first multiple of any number is the number itself.
-
D.
All of the above.
Solution
All statements are true regarding multiples.
Correct Answer:
D
— All of the above.
Learn More →
Q. Which of the following statements about negative exponents is correct?
-
A.
They indicate a reciprocal of the base raised to the positive exponent.
-
B.
They always result in a negative number.
-
C.
They can only be applied to integers.
-
D.
They are not applicable in real number systems.
Solution
Negative exponents indicate the reciprocal of the base raised to the positive exponent.
Correct Answer:
A
— They indicate a reciprocal of the base raised to the positive exponent.
Learn More →
Q. Which of the following statements about number systems is true?
-
A.
Base-10 is the only positional system
-
B.
Base-2 can represent all integers
-
C.
Base-16 is less efficient than base-10
-
D.
Base-5 cannot represent fractions
Solution
Base-2 can represent all integers, as it is a complete positional system.
Correct Answer:
B
— Base-2 can represent all integers
Learn More →
Q. Which of the following statements about numeral systems is correct?
-
A.
All numeral systems are based on the same principles.
-
B.
Different numeral systems can represent the same value.
-
C.
The decimal system is the only system used in mathematics.
-
D.
Base systems are irrelevant in modern computing.
Solution
Different numeral systems can represent the same value, such as the decimal 10 and binary 1010.
Correct Answer:
B
— Different numeral systems can represent the same value.
Learn More →
Q. Which of the following statements about numeral systems is incorrect?
-
A.
Base-10 is the most commonly used system.
-
B.
Base-16 is used in color codes in web design.
-
C.
Base-2 is used in human languages.
-
D.
Base-8 is less common than base-2.
Solution
Base-2 (binary) is not used in human languages; it is primarily used in computing.
Correct Answer:
C
— Base-2 is used in human languages.
Learn More →
Q. Which of the following statements about partnerships is FALSE? (2023)
-
A.
Partners share profits and losses.
-
B.
All partners have equal say in business decisions.
-
C.
Partnerships can be formed without a written agreement.
-
D.
Partners are personally liable for business debts.
Solution
Not all partners have equal say; the partnership agreement can specify different levels of authority.
Correct Answer:
B
— All partners have equal say in business decisions.
Learn More →
Q. Which of the following statements about partnerships is true?
-
A.
All partners must have equal say in decisions
-
B.
Partnerships are always limited liability
-
C.
Partners can be held personally liable for business debts
-
D.
Partnerships cannot have more than two partners
Solution
In a general partnership, partners can be held personally liable for the debts of the business.
Correct Answer:
C
— Partners can be held personally liable for business debts
Learn More →
Showing 5191 to 5220 of 5536 (185 Pages)