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Question
Read the information given below and answer the question that follows.
Ram Jas College provides facilities for the following foreign languages –Hebrew, Mandarin, French, Russian, German. Each of the five friends, Akhtar, Balram, Chintu, Dara, Ehsaan, studying at Ram Jas College, took a distinct number of foreign languages from among the five foreign languages.
Following are the details about the foreign languages in which they took:
(i) The number of friends who took in Russian is more than that in any other foreign language.
(ii) Among Mandarin and Russian, Balram and Chintu took in both the languages, but Dara took only Russian.
(iii) French is the only language in which both Chintu and Ehsaan took.
(iv) Exactly three friends took in Hebrew.
(v) German is the only language that all three of Akhtar, Balram, and Ehsaan took.
How many friends took Russian?
Options
Five
Three
Two
Four
Solution
It is given that the number of foreign languages took by each friend is different. i.e., one friend took one foreign language, another took two foreign languages and so on. With the given information we can conclude that
Mandarin | Hebrew | Russian | French | German | |
Akhtar | ✓ | ||||
Balram | ✓ | ✓ | ✓ | ||
Chintu | ✓ | ✓ | ✓ | ||
Dara | x | ✓ | |||
Eshaan | ✓ | ✓ |
The number of friends taking Russian should be more than that of any language and since only one of Chintu and Ehsaan took it, it must be four. As Akhtar and Balram have to take, Ehsaan cannot take{condition (ii)}. From (iii), Chintu does not take German. All the players took at least two foreign languages except Dara. Hence, Dara took only one foreign language and Balram took in all the five foreign languages and Akhtar does not took in French. From (v), Ehsaan do not take Hebrew. Hence, the final arrangement is as follows.
Mandarin | Hebrew | Russian | French | German | |
Akhtar | X | ✓ | ✓ | X | ✓ |
Balram | ✓ | ✓ | ✓ | ✓ | ✓ |
Chintu | ✓ | ✓ | ✓ | ✓ | X |
Dara | X | X | ✓ | X | X |
Eshaan | X | X | X | ✓ | ✓ |
Four took Russian.