Four city names are given – Lima, Algiers, New York and Tokyo. Choose the city that is least like the others in the group, that is, the one which does not share their common property.

Introduction / Context:
This is a general knowledge based classification question that appears under logical reasoning or verbal reasoning. The task is to recognize the common feature shared by most of the given city names and to identify the city that does not share this feature. These questions often test awareness of world capitals and basic geography, along with the ability to categorise items quickly.

Given Data / Assumptions:
The options are four cities: Lima, Algiers, New York and Tokyo.
You are expected to use basic world geography knowledge, especially about national capital cities.
Exactly three of the cities share the same key property; one city is different on that basis and is the correct answer.
We assume standard internationally recognized political capitals and not state or regional capitals unless clearly mentioned.

Concept / Approach:
A very common pattern in such questions is that three places are capital cities of countries, while one is not. Another approach is to check whether some cities are in a particular continent, but here the more obvious feature is the capital status of the cities. So you should recall which of the given cities are capital cities of sovereign countries and which one is not.

Step-by-Step Solution:
Step 1: Recall that Lima is the capital city of Peru in South America. Step 2: Recall that Algiers is the capital city of Algeria in North Africa. Step 3: Recall that Tokyo is the capital city of Japan in East Asia. Step 4: Now consider New York. It is a major city in the United States of America and is located in the state of New York, but it is not the capital of the country. Step 5: The capital of the United States is Washington, District of Columbia, not New York. Therefore, New York differs from Lima, Algiers and Tokyo in terms of capital status. Step 6: Conclude that the three cities Lima, Algiers and Tokyo are all national capitals, while New York is not, making New York the odd one out.

Verification / Alternative check:
Another way to cross check is to list each country and its capital city: Peru – Lima, Algeria – Algiers, Japan – Tokyo, United States – Washington. Only New York fails to match its country as the capital. No other simple classification, such as continent or language, gives a clean group of three and a clear odd one out as strongly as the capital city property does, so this is the intended logic.

Why Other Options Are Wrong:
Lima: It is the capital city of Peru, so it belongs with Algiers and Tokyo in the group of capital cities.
Algiers: It is the capital of Algeria, so it also shares the same key property and is not the odd one.
Tokyo: It is the capital of Japan and thus is clearly part of the capital city group.

Common Pitfalls:
A possible mistake is to think that New York is a capital because it is very famous and often mentioned in news and media. Candidates sometimes confuse economic or cultural importance with political capital status. Always remember that the political capital is the official seat of government, which for the United States is Washington, not New York. Another pitfall is overcomplicating the question by thinking about population size or coastal location; the exam normally expects the straightforward capital city pattern here.

Final Answer:
The only city that is not a national capital among the given options is New York.