Comprehension
Twenty one participants from four continents (Africa, America, Australasia, and Europe) attended a United Nations conference. Each participant was an expert in one of four fields: labour, health, population studies, and refugee relocation. The following five facts about the participants are given.
1. The number of labour experts in the camp was exactly half the number of experts in each of the other three categories.
2. Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.
3. None of the continents sent more than three experts in any category. 4. If there had been one less Australasian expert, then the Americas have had twice as many experts as each of the other continents.
5. Mike and Alfonso are leading experts of population studies who attended the conference. They are from Australasia
Question: 1
Which of the following combinations is NOT possible?
Which of the following combinations is NOT possible?
Show Hint
Check for contradictions in the total number of experts when verifying combinations.
Updated On: Aug 1, 2025
- 2 experts in population studies from the Americas and 2 health experts from Africa attended the conference.
- 2 experts in population studies from the Americas and 1 health expert from Africa attended the conference.
- 3 experts in refugee relocation from the Americas and 1 health expert from Africa attended the conference.
- Africa and America each had 1 expert in population studies attending the conference.
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The Correct Option is A
Solution and Explanation
We know:
- The total number of experts is 21.
- The number of experts per category is balanced as per the facts (e.g., no continent sends more than 3 experts in a category).
- Fact (a): The number of labour experts is half of experts in other categories.
Given these constraints, the first option violates the rule of no more than 3 experts in any category. Thus, it is impossible for both the Americas and Africa to send 2 experts in population studies and health, respectively.
\[
\boxed{1}
\]
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Question: 2
If Ramos is the lone American expert in population studies, which of the following is NOT true about the numbers of experts in the conference from the four continents?
If Ramos is the lone American expert in population studies, which of the following is NOT true about the numbers of experts in the conference from the four continents?
Show Hint
Verify combinations by balancing the number of experts across all categories and continents.
Updated On: Aug 1, 2025
- There is one expert in health from Africa.
- There is one expert in refugee relocation from Africa.
- There are two experts in health from the Americas.
- There are three experts in refugee relocation from the Americas.
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The Correct Option is C
Solution and Explanation
From the facts:
- Ramos being the only American expert in population studies implies fewer experts from the Americas in other categories.
- Fact (c): No continent sends more than 3 experts in any category.
- Based on the given restrictions, having 2 health experts from the Americas would violate the balance between categories. Thus, option (3) cannot be true.
\[
\boxed{3}
\]
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Question: 3
Alex, an American expert in refugee relocation, was the first keynote speaker in the conference. What can be inferred about the number of American experts in refugee relocation in the conference, excluding Alex?
i. At least one
ii. At most two
Alex, an American expert in refugee relocation, was the first keynote speaker in the conference. What can be inferred about the number of American experts in refugee relocation in the conference, excluding Alex?
i. At least one
ii. At most two
ii. At most two
Show Hint
Inference problems often rely on constraints like “at least” or “at most” based on given totals.
Updated On: Aug 1, 2025
- Only i and not ii
- Only ii and not i
- Both i and ii
- Neither i nor ii
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The Correct Option is C
Solution and Explanation
Since Alex is one of the American experts in refugee relocation, we know at least one more expert must exist to fulfill the requirement for this category, according to fact (b) (that no continent sent fewer than 1 expert in any category).
- This means there must be at least one more American expert, implying that the answer is “at least one.”
- Since no continent sent more than 3 experts in any category (fact (c)), the Americas could not have more than two experts in refugee relocation, giving the maximum of “at most two.”
\[
\boxed{3}
\]
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Question: 4
Which of the following numbers cannot be determined from the information given?
Which of the following numbers cannot be determined from the information given?
Show Hint
When information is missing for a category that isn’t directly linked to other known facts, it can’t be determined.
Updated On: Aug 1, 2025
- Number of labour experts from the Americas.
- Number of health experts from Europe.
- Number of health experts from Australasia.
- Number of experts in refugee relocation from Africa.
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The Correct Option is D
Solution and Explanation
We know the total number of experts is fixed at 21.
However, the number of refugee relocation experts from Africa isn’t directly provided, nor can it be easily derived from the given information. We can estimate other values, but not this one.
\[
\boxed{4}
\]
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