CAT 2004 — DILR Question 25
Answer the following question based on the information given below.
Twenty one participants from four continents (Africa, Americas, 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.
a. The number of labour experts in the camp was exactly half the number of experts in each of the three other categories.
b. Africa did not send any labour expert. Otherwise, every continent, including Africa, sent at least one expert for each category.
c. None of the continents sent more than three experts in any category.
d. If there had been one less Australasian expert, then the Americas would have had twice as many experts as each of the other continents.
e. Mike and Alfanso are leading experts of population studies who attended the conference. They are from Australasia.
Which of the following numbers cannot be determined from the information given?
Answer & solution
- A
Number of labour experts from the Americas.
- B
Number of health experts from Europe.
- C
Number of health experts from Australasia.
Number of experts in refugee relocation from Africa.
Let there be x labour experts. Then, the number of health, population and refugee relocation experts will be 2x each.
Hence, x + 2x + 2x + 2x = 7x = 21
∴ x = 3
That is, the number of Labour, Health, Population and Refugee Relocation experts are 3, 6, 6 and 6 respectively.
Let Australasia have (y + 1) experts. Then the Americas have 2y experts and Africa and Europe have y experts each.
∴ y + 1 + 2y + y + y = 21
∴ y = 4
That is, Australasia, Americas, Africa and Europe have 5, 8, 4 and 4 experts respectively.
As Australasia has sent at least 2 experts on population studies, it has sent 1 expert each for the other three fields.
∴ The Americas and Europe have sent 1 expert each on labour.
∴ Europe has sent 1 expert each on Health, Population Studies and Refugee Relocation.
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Number of experts in Refugee Relocation from Africa cannot be found.
Hence, option (d).