12 Minute Test: Data Caselets | Logical Reasoning (LR) and Data Interpretation (DI) - CAT PDF Download

We know that no college secured the same rank in 2 surveys.

Therefore, the ranks secured by D must be 6 and 4.

D had a better rank in the survey conducted by BS than the one conducted by GT.

We know that A managed a position within the top 3 in all 3 surveys.

Therefore, A must have secured second and third positions in the other 2 surveys.

Also, the average rank secured by A must be 2.

Let us solve each question separately now. The points that one must bear in mind while filling the table are

(I) B managed to get a better rank than C in 2 of the 3 surveys.
(II) GT deemed C to be a better college than A.

Average rank secured by B is 2 and C is 3.

Therefore, sum of the ranks secured by B and C must be 6 and 9 respectively.
Sum of ranks secured by B is 6. Therefore, the ranks must be 1,2 and 3.
B must have secured third rank in the survey conducted by KIRF (Since the first 2 ranks are already taken up).
C had a better rank than A in the survey conducted by GT.

Had C secured first rank in the survey conducted by BS, then C must have secured second rank in the survey conducted by GT.
A must have secured third rank in the survey conducted by GT and second rank in the survey conducted by BS. However, B could not have secured third rank in the survey conducted by BS since A has secured third rank. Therefore, this case can be eliminated.

Had C secured first rank in the survey conducted by GT, B must have secured first rank in the survey conducted by BS. A must have secured second rank in the survey conducted by BS and C must have secured the third rank. The rankings will be as follows:

As we can see, C must have secured fifth rank in the survey conducted by KIRF.

Therefore, option C is the right answer.

We know that no college secured the same rank in 2 surveys.
Therefore, the ranks secured by D must be 6 and 4.

D had a better rank in the survey conducted by BS than the one conducted by GT.

We know that A managed a position within the top 3 in all 3 surveys.
Therefore, A must have secured second and third positions in the other 2 surveys. Also, the average rank secured by A must be 2.

Let us solve each question separately now. The points that one must bear in mind while filling the table are

(I) B managed to get a better rank than C in 2 of the 3 surveys.
(II) GT deemed C to be a better college than A.

Average rank secured by B and C is the same.

Average rank secured by B and C cannot be 2 since in KIRF one of the 2 must have secured a rank greater than 3.
Average rank cannot be 6 as well.
Average rank cannot be 5 since both of them have a rank less than 4 in the BS survey.

Let us consider the possibility that the average rank is 4.
Therefore, sum of ranks must be 12.
Also, we know that rank secured by A in GT is better than the one it secured in the survey by BS.
Therefore, A must have secured second rank in GT and third rank in BS.
In the BS survey, B and C must have secured first and second ranks, respectively.
Since C is ranked better than A by GT, C must have secured the first rank in the GT survey.
Now, C must have secured a rank of 8 in the KIRF ranking for the average rank to be 4. As we can see, this case is impossible.

Therefore, the average rank of both B and C must be 3.
C must have secured first rank in the GT survey and second rank in the BS survey.
For the average rank to be 6, C must have secured sixth rank in the KIRF survey.

B must have secured first rank in the BS survey.
Now, the sum of the ranks secured by B in the other 2 surveys must be 9-1 = 8.
8 can be represented as (4,4), (5,3) or (6,2).

We can eliminate the case (4,4) since no college secured the same ranking in 2 colleges.
We can eliminate (6,2) too since no 2 colleges secured the same ranking in a survey.
Therefore, the final ranking will be as follows:

Rank secured by B in the GT survey will be 3 or 5.
Therefore, option A is the right answer.

We know that no college secured the same rank in 2 surveys.
Therefore, the ranks secured by D must be 6 and 4.

D had a better rank in the survey conducted by BS than the one conducted by GT.

We know that A managed a position within the top 3 in all 3 surveys.
Therefore, A must have secured second and third positions in the other 2 surveys. Also, the average rank secured by A must be 2.

Let us solve each question separately now. The points that one must bear in mind while filling the table are

(I) B managed to get a better rank than C in 2 of the 3 surveys.
(II) GT deemed C to be a better college than A.

Average rank secured by B = Average rank secured by A + 1.

Therefore, the average rank secured by B must be 3.
Sum of the ranks secured by B = 9.
Now, had A secured second rank in the GT survey and third rank in the BS survey, C must have secured the first rank in the GT survey and second rank in BS survey.
B must have secured the first rank in the BS survey.

Now, B must have secured either fifth or third rank in the KIRF and GT surveys.

In this case, the rank secured by C is two.

Let us consider the other possibility.

Had A secured third rank in the GT survey, A would have secured second rank in the BS survey.
C must have secured the second or first rank in the GT survey.

Had C secured first rank in the GT survey, it would have secured third rank in the BS survey.
B would have secured first rank in the BS survey.

Had C secured second rank in the GT survey, C could have secured first or third rank in the BS survey.

As we can see, C could have secured any of the top 3 ranks and hence, option D is the right answer.