Directions for the following four questions:
Answer the questions on the basis of the information given below.
Prof. Singh has been tracking the number of visitors to his homepage? His service provider has provided him with the following data on the country of origin of the visitors and the university they belong to.
Q1: To which country does University 5 belong?
(a) India or Netherlands but not USA
(b) India or USA but not Netherlands
(c) Netherlands or USA but not India
(d) India or USA but not UK
Ans: (a)
On day 3,
2 people were from university 4 and 1 person was from university 6.
2 people were from Uk and 1 person was from USA.
Hence University 4 = UK
and University 6 = USA
On day 2,
1 person was from university 3 and 2 people were from university 8.
1 person was from the Netherlands and 2 people were from India.
Hence, Univerisity 3 = Netherlands
University 8 = India
On day 1,
1 person was from University 1
1 person was from University 5
2 persons were from university 2
2 people were from university 7.
1 person was from India
1 person was from the Netherlands
2 persons were from Canada
2 persons were from the UK.
Hence University 1 can be from India/ Netherlands
University 5 can be from Netherlands/ India
University 2 can be from UK/ Canada
University 7 can be from Canada/ UK.
According to given conditions there are following possibilities of university belonging from specific country .
We can clearly make out that University 5 belongs to India or Netherlands but not USA. Hence option (a).
Q2: University 1 can belong to
(a) UK
(b) Canada
(c) Netherlands
(d) USA
Ans: (c)
According to given conditions there are following possibilities of university belonging from specific country .
We can see that University 1 can belong to Netherlands out of the given options.
Q3: Which among the listed countries can possibly host three of the eight listed universities?
(a) Only UK
(b) Only India
(c) Both India and UK
(d) None
Ans: (d)
According to given conditions there are following possibilities of university belonging from specific country .
Thus we can see that no country can can possibly host three of the eight listed universities.
Q4: Visitors from how many universities from UK visited Prof. Singh's homepage in the three days?
(a) 1
(b) 2
(c) 3
(d) 4
Ans: (b)
On day 3, there were 2 visitors from UK and 1 from USA. On the same day, the site was visited by 2 persons from University 4 and 1 from University 6. So University 4 is located in UK and University 6 is in USA. Similar reasoning for day 2 gives us the conclusion that University 3 is located in Netherlands and University 8 is in India. On day 1, the number of visitors from USA is 1 and that from University 6 is 1. University 6 is in USA (derived above), which implies no other university is in USA. The number of visitors from India on day 1 is 1. Also, no visitor from University 8, which is in India has visited the site on day 1. This implies that one of University 1 and University 5 is in India and the other in Netherlands. A similar logic gives us that one of University 2 and University 6 is in UK and the other in Canada.
We can see that university 4 and university 7 from UK visited prof. Singh's homepage in the three days.
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