I. There is a group of five persons A, B, C, D & E. II. One of them a horticulturist, one is a physicist, one is a journalist, one is an industrialist and one is an advocate.  III. Three of them A, C and Advocate prefer tea to coffee and two of them B and the journalist prefer coffee to tea. IV. The industrialist, D and A are friends of one another but two of these prefer coffee to tea. V. The horticulturist is C’s brother. Which of the following groups includes a person who likes tea but not an advocate?

I. There is a group of five persons A, B, C, D & E. II. One of them a horticulturist, one is a physicist, one is a journalist, one is an industrialist and one is an advocate.  III. Three of them A, C and Advocate prefer tea to coffee and two of them B and the journalist prefer coffee to tea. IV. The industrialist, D and A are friends of one another but two of these prefer coffee to tea. V. The horticulturist is C’s brother. Which of the following groups includes a person who likes tea but not an advocate? Correct Answer AD

III) Three of them A, C and Advocate prefer tea to coffee and two of them B and the journalist prefer coffee to tea.

Tea - A, C, and Advocate

Coffee - B and Journalist

A  Tea x
B coffee x
C Tea x
D x x
E x x

 

IV) The industrialist, D and A are friends of one another but two of these prefer coffee to tea.

Only 2 people prefer coffee from statement III.

It means from III and IV, as A likes Tea therefore industrialist and D, 2 people like coffee.

Coffee - B and Journalist

Coffee - D and Industrialist

It means B is Industrialist and D is Journalist

A  Tea x
B coffee Industrialist 
C Tea x
D coffee Journalist
E x x

 

A, C and Advocate prefer tea it means E is an advocate.

A  Tea x
B coffee Industrialist 
C Tea x
D coffee Journalist
E Tea advocate

 

V) The horticulturist is C’s brother. It means A is a horticulturist and brother of C.

A  Tea horticulturist 
B coffee Industrialist 
C Tea physicist
D coffee Journalist
E Tea advocate


Clearly, now that we know that E is the advocate, we can eliminate two DE and CE from the correct answer. Also, both B and D like coffee.

Hence, AD is the pair in which A likes Tea and neither of them is an advocate.

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Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right