The question asks us to find the most appropriate placement for the given sentence within the paragraph. First, let's understand the context of both the sentence and the paragraph:
Given Sentence: "Historically, silver has been, and still is, an important element in the business of 'show' visible in private houses, churches, government, and diplomacy."
Paragraph Analysis:
Logic and Conclusion:
The given sentence about the historical and ongoing importance of silver fits best at Option 3. Placing the sentence here emphasizes the paragraph's transition from the eroding need for silver due to technological and lifestyle changes to its enduring value in cultural and historical terms.
Correct Answer: Option 3
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: Beyond undermining the monopoly of the State on the use of force, armed conflict also creates an environment that can enable organized crime to prosper.
Paragraph:
(1) Linkages between illicit arms, organized crime, and armed conflict can reinforce one another while also escalating and prolonging violence and eroding governance.
(2) __
Financial gains from crime can lengthen or intensify armed conflicts by creating revenue streams for non-State armed groups (NSAGs).
(3) __
In this context, when hostilities cease and parties to a conflict move towards a peaceful resolution, the widespread availability of surplus arms and ammunition can contribute to a situation of 'criminalized peace' that obstructs sustainable peacebuilding efforts.
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: