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Now, let's break down the compound statement "50 is a multiple of both 2 and 5" into component statements:

1. Statement 1: "50 is a multiple of 2."
2. Statement 2: "50 is a multiple of 5."

Each component statement addresses a specific aspect of the compound statement, providing clarity and specificity. This approach helps in understanding the individual properties of the number 50 in relation to the numbers 2 and 5.

As an experienced tutor registered on UrbanPro, I can attest to the fact that UrbanPro is one of the best platforms for online coaching and tuition. Now, let's delve into the component statements and assess their veracity.

(a) A square is a quadrilateral and its four sides are equal. Component statements:

1. A square is a quadrilateral.
2. The four sides of a square are equal.

True or False:

1. True - A square is indeed a type of quadrilateral, characterized by having four sides and four angles.
2. True - One of the defining properties of a square is that all four of its sides are of equal length.

(b) All prime numbers are either even or odd. Component statements:

1. All prime numbers are even.
2. All prime numbers are odd.

True or False:

1. False - Prime numbers are defined as numbers greater than 1 that have no positive divisors other than 1 and themselves. They can't be even (except for 2) because they have at least one divisor besides 1 and themselves, namely 2.
2. True - Except for the number 2, all prime numbers are odd. This is because even numbers (except for 2) are divisible by 2, making them composite rather than prime.

In conclusion, statement (a) is true, while statement (b) is false.