Directions for questions 1 to 4: Answer the questions on the basis of the information given below.
Twenty one participants from four continents (Asia, Latin America, Arab, and North America) 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) Asia did not send any labour expert. Otherwise, every continent, including Asia, 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 Arabian expert, then the Latin America would have had twice as many experts as each of the other continents.
(e) Michal and Alfanso are leading experts of population studies who attended the conference. They are from Arab.

Question 1 : Alan, 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 Alan ?
(i)  At least one
(ii) At most two
(a) Only i and not ii
(b) Only ii and not i
(c) Both i and ii
(d) Neither i nor ii

Question 2 : If Ramos is the alone Latin American expert in population studies, which of the following is NOT true about the number of experts in the conference from the continents ?
(a)  There are three experts in refuge relocation from the Latin America.
(b)  There is one expert in refugee relocation from Asia.
(c)   There are two experts in health from the Latin America.
(d)  There is one expert in health from Asia.

Question 3 : Which of the following combinations is NOT possible ?
(a) 3 experts in refugee relocation from the Latin America and 1 health expert from Asia attended the conference
(b) 2 experts in population studies from the Latin America and 2 health experts from Asia attended the conference.
(c) 2 experts in population studies from the Latin America and 1 health expert from Asia attended the conference.
(d) Asia and America each had 1 expert in population studies attending the conference.

Question 4 : Which of the following numbers cannot be determined from the information given ?
(a) Number of health experts from Arab
(b) Number of labour experts from the Latin America
(c) Number of health experts from North America
(d) Number of experts in refugee relocation from Asia

Answers and Explanations

Answer 1 : (c)

It is given that Alan is one of the American experts in refugee relocation. From the table, there can be 1 more or 2 more American experts in the same category.

It is given that the number of labour experts is half the number of experts in each of the other categories. Let the number of labour experts be x. Number of labour experts = 3 and number of experts in each of the other categories = 6. Given that if there had been one less Arabianexperts, then the Latin Americans would have had twice as many experts as each of the other continents. Let the number of Americans be 2y.

2y + y + (y + l)+y = 21                                ∴      y = 4.

So    number of Americans = 8

Number of Arabn = 4 + 1=5

Number of Asians = 4

Number of North Americans = 4 It is also given that except Asia in labour category, every continent sent at least one expert in each category.

Answer 2 : (c)

If the Latin America had 1 expert in population studies, the remaining Americans should be distributed in 2 remaining fields i.e., 3+3. Hence the number of health experts from Latin America cannot be 2.

Answer 3 : (d)

From the given choices, the statements in the first three choices are possible from the given table.

The statement in choice (d) i.e., Asia and the Latin America had 1 expert each in population studies attending the conference is not possible as in this case the total number of experts in population studies is 5. i.e., 2 from Australia, 1 from Asia, 1 from North America and 1 from the Latin America.

∴   This is not possible.

Answer 4 : (d)

Number of labour experts from the Latin America = 1

Number of health experts from North America = 1

Number of health experts from Australia = 1

Number of experts in refugee relocation from Asia = 2/1

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