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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 the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanadl?

Option: 1

3


Option: 2

5


Option: 3

1


Option: 4

6


Answers (1)

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 rating of the tea from Munnar is less than that of the teas from Wayanad and Assam. => it can be ranked either fifth or sixth. 

If the tea from Munnar did not get the minimum rating

=> it will be ranked fifth with a rating of 3. 

Therefore, the tea from Assam and Wayanad will be ranked third and fourth respectively. 

Hence, the rating of the tea from Wayanad will be 5.

 

Posted by

Ramraj Saini

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