Pareto Efficiency is achieved when no individual can be made better off without making someone else worse off, thus option 1 is correct.

The passage suggests that digital sum will evolve and integrate with emerging technologies, indicating a promising future.

The passage suggests that a solid understanding of digital sum is essential for effective data analysis in various fields.

The passage mentions that the findings challenge existing theories, allowing us to infer that they contradict previous beliefs.

The passage suggests that education systems must adapt to modern needs, making option 1 the valid conclusion.

The passage suggests that the author advocates for the positive role of technology in education.

All statements are true; multiples can be negative, can be equal to the number, and are always integers.

The premises do not provide information about all flowers, so it is valid to conclude that some flowers do not fade quickly.

The passage outlines various factors contributing to economic inequality, suggesting its complexity.

The passage suggests that while change is important, it should be approached gradually, aligning with option B.

The passage suggests that the author advocates for gradual change, emphasizing the importance of careful consideration.

Increased consumer spending typically stimulates the economy, making it the odd one out as a cause of recession.

The passage does not claim that all cultures are equally valuable, making option 2 unsupported.

The mixed graph does not indicate any clear seasonal pattern, as sales fluctuate throughout the year.

The passage supports the idea that technology can facilitate personalized learning experiences, allowing students to learn at their own pace.

A periodic function is characterized by repeating values at regular intervals, such as sine and cosine functions.

The inverse of a function is a function only if the original function is one-to-one.

The bar graph clearly shows that City A has a larger population than City B.

The bar graph clearly shows that City A experienced faster growth than City B.

Product D had the lowest sales in Q1, as indicated in the table.

In a double-elimination tournament, a team must lose twice to be eliminated, allowing for a second chance.

In an arithmetic progression, the difference between consecutive terms is constant, which is the defining property of an AP.

A number is divisible by 5 if it ends in either 0 or 5.

In a harmonic progression, the reciprocals of the terms indeed form an arithmetic progression.

Modular arithmetic is primarily applicable to integers, making the first statement true.

When two lines intersect, the angles opposite each other (vertical angles) are always equal. Therefore, the correct statement is that vertical angles are always equal.

The presence of outliers is evident in the graph, which affects the overall trend of the data.

The graph of a linear equation is always a straight line.

In the equation y = mx + b, m represents the slope, which indicates how steep the line is.

The slope between any two pairs of these points is the same (1), indicating they are collinear.