Directions (Qs. 1-4): Answer the questions on the basis of the information given below.
Prof. Biswas 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 museum they belong to:

                                                      Number of visitors

Question 1: Museum 1 can belong to
(a) Australia
(b) Poland
(c) Pakistan
(d) Germany

Question 2: To which country does Museum 5 belong?
(a) China or Pakistan but not Australia
(b) China or Australia but not Pakistan
(c) China or Australia but not Germany
(d)Pakistan or Australia but not China

Question 3: Visitors from how many museums from Germany visited Prof. Biswas’s homepage in the three days?
(a) 1
(b) 2
(c) 3
(d) 4

Question 4: Which among the listed countries can possibly host three of the eight listed museum?
(a) None
(b) Both China and Germany
(c) Only Germany
(d) Only China

Answers and Explanations


Answers: Looking at the data, on day 3 there were “2 visitors” from Germany and “1 visitor” from Australia. Also, on day 3, 2 visitors were from Museum 4. Museum 4 is located in Germany. Similarly, Museum 6 is in Australia. Likewise, on Day 2 there were (i) 2 visitors from museum 8 (ii) 2 visitors from China From (i) and (ii), Museum 8 is located in China Also on Day 2 (iii)  1 visitor was from Museum 3 (iv) 1 visitor was from Pakistan From (iii) and (iv) Museum 3 is located in Pakistan. The total number of visitors from Australia on day 1 is 1 and on day 3 is also (1) From the above, we have observed that Museum 6 belongs to Australia. The number of visitors from Museum 6 on day 1 is also 1. No other museum belongs to Australia. The total number of visitors from Germany on day 1 is (2) We have already observed that Museum 4 belongs to Germany. But from Museum 4, the number of visitors on day 1 is 0, which means that from among Museum 2 and Museum 7, one belongs to Germany and the other belongs to Poland (which has 2 visitors on day 1). The total number of visitors from China on day 1 is 1. Between Museum 1 and Museum 5, one belongs to China and the other should belong to Pakistan which also has only 1 visitor on day (1). From the above explanation, we deduce the following table. Hence,

Answer 1: (c)

From the table.

Answer 2: (a) 

From the table.

Answer 3: (b)

The museums that belong to Germany are

(1)    Museum 4

(2)    One of Museum 2 and Museum 7.

∴   Number of museum from Germany is 2.

Answer 4: (a)

From the above table, it is clear that none of the countries has hosted three museums.

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