Paragraph:
While technological tools are becoming increasingly efficient, people tend to over-rely on them, assuming automation eliminates the need for judgment. However, technology can fail, misinterpret inputs, or reinforce biases, making human oversight essential. An effective system, therefore, blends automated precision with critical human decision-making.
Question:
Which option best summarizes the paragraph?
The paragraph highlights a contrast: although technology is efficient, excessive dependence on it is risky because automated systems can still make errors or amplify biases. Therefore, the central idea is that effective systems require a balance between automation and human oversight.
A strong summary would be:
"Despite advances in automation, human judgment remains crucial, and the most effective systems combine technological precision with human oversight."
This captures the main message without unnecessary detail.
The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In investigating memory-beliefs, there are certain points which must be borne in mind. In the first place, everything constituting a memory-belief is happening now, not in that past time to which the belief is said to refer. It is not logically necessary to the existence of a memory-belief that the event remembered should have occurred, or even that the past should have existed at all. There is no logical impossibility in the hypothesis that the world sprang into being five minutes ago, exactly as it then was, with a population that "remembered" a wholly unreal past. There is no logically necessary connection between events at different times; therefore nothing that is happening now or will happen in the future can disprove the hypothesis that the world began five minutes ago. Hence the occurrences which are CALLED knowledge of the past are logically independent of the past; they are wholly analysable into present contents, which might, theoretically, be just what they are even if no past had existed.
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: