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  • A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal, These teas were placed in six cups, numbered 1 to 6, not necessar

A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling,
Assam and Himachal, These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order
The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10 He gave a
unique integer rating to each tea. Some other information is given below 

1. Cup 6 contained tea from Himachal.
2. Tea from Ooty got the highest rating, but it was not in Cup 3.
3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5.
4 Only two cups got ratings in even numbers.
5. Cup 2 got the minimum rating and this rating was an even number.
6. Tea in Cup 3 got a higher rating than that in Cup 1.
7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from
Assam.

Question:

If cups containing teas from Wayanad and Ooty had consecutive numbers, which of the following statements may be true? 

Option: 1

Cup 5 contains tea from Assam 


Option: 2

Cup 1 contains tea from Darjeeling 


Option: 3

Tea from Wayanad has got a rating of B 


Option: 4

Tea from Darjeeling got the minimum rating


Answers (1)

best_answer

Let the ratings be such that the tea with the highest rating is ranked 1 and the tea with the lowest rating is ranked 6.

From statements 2 and 5, we know that the tea from Ooty is ranked 1 and the tea in cup 2 has an even rating.

Below table can be prepared based on the above:

                Ranking

            Place

                Cup No

            Rating

                    1

            Ooty

                    4

                9

                    2

    

                2

                    3

    

                6

                    4

    

                5

                    5

    

                3

                    6

  

                    2

  

From statement 3, we know that the tea in cup 3 has an even rating.

From statement 6, we know that the tea in cup 3 has a higher rating than the teas in cups 2 and 1.

Therefore, the tea in cup 3 is ranked 2 or 3.

It cannot be ranked 1 because the tea from Ooty is not in cup 6.

If the tea in cup 2 has a rating of 4, then the minimum possible rating for the tea in cup 5 is 5 and the tea in cup 3 would have a rating of 10. However, we know that the tea in cup 3 has an even rating and 10 is not even. Therefore, the tea in cup 2 has a rating of 2.

The only rating that can be given to the tea in cup 5 is 3.

The rating of the tea in cup 3 is therefore 6.

Between the ratings of 3 and 6, only one rating is possible, i.e., 5. This is because there are only two even ratings that are given to the teas in cups 3 and 2.

The tea in cup 1 has a lower rating than the tea in cup 3. Therefore, the tea in cup 1 has a rating of 5 and is ranked 4.

The tea from Himachal is in cup 6 and has the second highest rating. The rating must be an odd number greater than 6 and less than 10. The only number possible is 7.

The tea from Ooty is in cup 4 and has a rating of 9.


The final table will be as follows:

            Ranking

                    Place

                Cup No

                Rating

                1

                    Ooty

                    4

                    9

                2

                Himachal

                    6

                    7

                3

  

                    3

                    6

                4

  

                    4

                    5

                5

     

                    5

                    3

                6

  

                    2

                    2

It is given that the cups containing teas from Wayanad and Ooty have consecutive numbers:

=> then the Cup containing tea from Wayanad can either be Cup 5 or Cup 3. 

But it can be noted that the tea from Wayanad cannot be in Cup 3 as the tea from Assam got a higher rating than the tea from Wayanad. 

=> tea from Wayanad should be in Cup 5. 

In this case, the tea from Munnar will be in Cup 2 and the tea from Darjeeling can either be in Cup 1 or Cup 3. 

Therefore, statement 2 may be true.

Posted by

Irshad Anwar

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