A number is divisible by 9 if the sum of its digits is divisible by 9. The sum of the digits of 50 (5 + 0 = 5) is not divisible by 9.

In decimal, '54' = 32, '45' = 29, '63' = 39, '36' = 22. '63' is the largest.

'72' in base-8 is 58 in decimal, which is larger than the others.

The binary system is the most commonly used in digital electronics due to its two-state nature.

The Roman numeral system is not positional, as it does not use place value to determine the value of digits.

The context suggests that research findings often lead to the conclusion that further studies are necessary, making option 2 the best completion.

The sentence suggests a contrast, indicating that while there are benefits, there are also drawbacks such as reduced personal interactions.

The passage indicates that wealth often determines access to quality education, establishing a direct influence.

The passage outlines a problem (climate change) and proposes solutions, fitting the problem-solution format.

The passage aims to inform the reader about the data and its implications without a critical or sarcastic tone.

The set of all integers greater than 10 is a clear example of a constraint-based set, as it specifies a condition that elements must meet.

The context indicates that the workforce is changing significantly, thus 'transformation' is the most appropriate choice.

The set of all integers greater than 10 is a clear example of a constraint-based set, as it imposes a specific condition on the elements.

The correct order is C, A, B, D, which logically connects the ideas presented in the sentences.

The passage outlines the events in the order of Event A, followed by Event B, and then Event C, making option 0 the correct sequence.

The passage discusses both the positive and negative impacts of technology, suggesting a nuanced view rather than a purely beneficial or detrimental stance.

The main idea revolves around the necessity for education to evolve alongside technological advancements.

Complementary angles are two angles whose sum is 90 degrees. All the given pairs meet this criterion.

Adjacent angles are defined as angles that share a common vertex and a common side.

Adjacent angles are defined as angles that share a common vertex and a common side.

Supplementary angles are two angles that add up to 180 degrees. An acute angle (less than 90 degrees) and an obtuse angle (more than 90 degrees) can add up to 180 degrees.

The first pair has the same slope (2/3) and thus represents parallel lines.

The first pair represents parallel lines, which means they will never intersect, hence no solution.

All pairs have the same remainder when divided by 6: 8 mod 6 = 2, 14 mod 6 = 2; 10 mod 6 = 4, 16 mod 6 = 4; 12 mod 6 = 0, 18 mod 6 = 0.

15 and 28 have no common factors other than 1, making their GCD equal to 1.

15 and 28 are coprime, meaning their GCD is 1.

The LCM of 4 and 9 is 36.

The HCF of 15 and 28 is 1, making them coprime.

The HCF of 12 and 18 is 6, as both numbers are divisible by 6, while the other pairs have higher HCFs.

The GCF of 15 and 28 is 1, making them coprime, while the other pairs share common factors.