Random allocation is not a systematic method of resource allocation, making option 2 the correct answer.

While personal preferences of managers may play a role, they are not a formal factor influencing resource allocation decisions compared to market demand, resource availability, and political considerations.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. 7 is not among them.

Personal preferences of management should not influence resource allocation decisions, making option 3 the correct answer.

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. 9 is not prime as it can be divided by 3.

A circle is defined as a round shape with no corners.

A convex polygon cannot have curved sides; all sides must be straight.

In a geometric progression, the terms are numeric and follow a specific ratio; thus, non-numeric terms do not form a valid GP.

In a geometric series, the ratio between consecutive terms is constant, not the difference.

While a parallelogram has opposite sides and angles that are equal, it does not necessarily have all angles as right angles unless it is a rectangle.

In a regular polygon, all sides and angles are equal, and the vertices are convex, not concave.

In a rhombus, while all sides are equal and diagonals bisect each other at right angles, the diagonals are not necessarily equal in length.

In a square, all angles are right angles (90 degrees), not acute.

An isosceles triangle has two equal sides and the angles opposite those sides are equal, but it does not have all angles equal unless it is also equilateral.

An even number is not always a prime number; in fact, the only even prime number is 2.

The statement a^m + b^m = (a+b)^m is not a property of exponents; it is only true for m=1.

In a geometric progression, the common ratio cannot be zero, as it would invalidate the progression.

The sum of the terms in a harmonic progression is not necessarily an integer, as the terms can be fractions.

The sum of the first n terms of a harmonic progression diverges as n approaches infinity, hence it is not finite.

The last statement is incorrect as it does not follow the properties of logarithms.

Modular arithmetic is commutative for addition and multiplication, hence non-commutativity is not a property.

Polygons are defined as shapes made up of straight line segments, so having curved sides disqualifies a shape from being a polygon.

While coefficients can be negative in certain expansions, they are not always negative.

Not all triangles have all angles acute; for example, a right triangle has one angle that is 90 degrees.

Ignoring team member feedback is not a recommended practice, as it can lead to disengagement and hinder the team's overall effectiveness.

'Algorithm' is a mathematical concept, while the others are literary devices used in writing.

A quadrilateral is a four-sided figure and not a type of triangle.

The Binomial Theorem is specifically for polynomial expansions and does not apply to geometric series.

In base-3, only digits 0, 1, and 2 are valid. '30' is invalid.

In base 4, the digits can only be 0, 1, 2, or 3. '24' is invalid.