The problem is to match the descriptions in Column A with the correct terms in Column B.

1. Problem Description

The problem is to match the descriptions in Column A with the correct terms in Column B.

2. Solution Steps

Q.2.1: A number that can be written as a whole number raised to the power of 2 is called a perfect square. For example, $4 = 2^2$, $9 = 3^2$. Thus, Q.2.1 matches with b.

Q.2.2: Combining the set of rational numbers with the set of irrational numbers gives the set of real numbers. Thus, Q.2.2 matches with e.

Q.2.3: Mathematical equations that combine two expressions of equal value are known as equations. Thus, Q.2.3 matches with i.

Q.2.4: A polynomial with three terms is known as a trinomial. For example, $x^2 + 2x + 1$ is a trinomial. Thus, Q.2.4 matches with j.

Q.2.5: A set that is formed when zero is added to the numbers 1, 2, 3, and so on (the natural numbers) gives the whole numbers. The natural numbers are {1, 2, 3, ...}, and the whole numbers are {0, 1, 2, 3, ...}. Thus, Q.2.5 matches with f.

Q.2.6: Numbers that cannot be written as a ratio of two numbers are irrational numbers. Examples include $\sqrt{2}$ and $\pi$. Thus, Q.2.6 matches with k.

Q.2.7: Two sets A and B such that $|A + B| = |A| + |B|$ are said to be disjoint. This condition means that there are no elements in common between A and B. For example, A = {1, 2} and B = {3, 4} are disjoint. The condition is valid if A and B are sets of real numbers. If A and B are sets of real numbers, then $|A|$ and $|B|$ typically denote their cardinality, i.e., the number of elements in the set.

However, in context of real numbers, it seems to suggest that the elements of A and B are real numbers, and $|\cdot|$ represents absolute value. This means that A and B are two sets of real numbers such that the absolute value of the sum of an element from A and B is equal to the sum of their absolute values. Let $a \in A$ and $b \in B$. Then $|a + b| = |a| + |b|$. This is only possible when $a$ and $b$ have the same sign or are zero. This isn't a useful description for any of the terms.

If A and B are sets of real numbers, and we let the expression refer to the size/number of elements in the sets, then this condition states the two sets have no elements in common, and thus are disjoint. Therefore Q.2.7 matches with a.

Q.2.8: The number system used to represent numbers in computers is known as binary. Thus, Q.2.8 matches with c.

Q.2.9: A statement which is true on the basis of its logical form alone is known as a tautology. Thus, Q.2.9 matches with h.

Q.2.10: The studies on the ways statements can interact with each other are known as propositional logic. Thus, Q.2.10 matches with l.

3. Final Answer

Q.2.1 - b

Q.2.2 - e

Q.2.3 - i

Q.2.4 - j

Q.2.5 - f

Q.2.6 - k

Q.2.7 - a

Q.2.8 - c

Q.2.9 - h

Q.2.10 - l