CAT Model Paper 8 Questions and Answers with Explanation Part 5
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Answer the questions based on the information given.
Radha-Govind B School has 5 branches, Ashoknagar (A), Belapur (B), Chhattisgarh (C), Laxminagar (L) & Indra Puri (I). In all these campuses, the B School take students through RAT, Radha-Govind Ability Test. Following table provides partial information on the percentage weight ages assigned to each of the parameter that they consider for their final selection (along with the score a candidate may get for each of the parameter):
A | B | C | L | I | |
ACADEMIC RECORD | 20 | 25 | 10 | 15 | 25 |
Work Experience | 10 | ? | 20 | 10 | 10 |
Extra-Curricular Activities [Individual: 1, Team Activity: 2] | 5 | 0 | ? | 5 | 5 |
Rat Result | 40 | 30 | 40 | ? | ? |
Group Discussion [Scale 1-5] | 15 | 15 | 20 | ? | 15 |
Personal Interview [Scale 1-5] | ? | 15 | 10 | 15 | 10 |
For final selection, candidates are ranked based on the overall weighted score, which is the weighted average of the scores obtained in different parameters. Percentile of a person is defined by expressing the number of candidates behind that person as a percentage of the total number of candidates While collating the result, the B school observed something strange. In each campus, same set of candidates got the top 10 rank. The following table describes profiles of those10 candidates:
Academic Record | Work Exp | Extra-Curricular | Rat | GD | PI | |
Ravi | 65% | 0.5 | Basket ball | 91 | 3 | 4 |
Kiran | 78% | 4.2 | Hockey | 82 | 4 | 5 |
Pragya | 69% | 6.3 | Cricket | 79 | 3 | 2 |
Varun | 56% | 2.9 | Football | 86 | 3 | 5 |
Naushad | 84% | 3.6 | Cricket | 89 | 5 | 4 |
Alia | 81% | 4.6 | Book Reading | 97 | 2 | 3 |
Thomas | 59% | 5.2 | Cricket | 83 | 5 | 3 |
Bharti | 92% | 1.6 | Gardening | 82 | 3 | 5 |
Peter | 80% | 2.8 | Poetry | 92 | 4 | 3 |
Nusrat | 76% | 3.5 | Coin Collection | 84 | 5 | 5 |
Q: 28. What is the difference between the weighted score of Ravi and Nusrat for the Ashoknagar campus?
(A) 25
(B) 3.75
(C)
(D) None of these
Ans: C
Solution:
Let’s consider the following table:
Parameters | Ravi’s score | Nusrat’s score | Ravi’s weighted score | Nusrat’s Weighted |
A(20) | 2 | 3 | 40 | 60 |
W(10) | 1 | 2 | 10 | 20 |
E(5) | 2 | 1 | 10 | 5 |
C(40) | 3 | 2 | 120 | 80 |
G(15) | 3 | 5 | 45 | 75 |
P(10) | 4 | 5 | 40 | 50 |
Overall weighted score | 2.65 | 2.9 | ||
Q: 29. For Laxminagar campus, if extra-curricular activities carry the least weightage, then what is the range of the weighted score of Alia and Peter?
(A) Alia
(B)
(C) Alia:
(D) None of these
Ans: B
Solution:
The parameter-wise score of ALIA and PETER looks as follows:
Academic Record | Work Exp | Extra- Curricular | CAT | GD | PI | |
Alia | 3 | 3 | 1 | 4 | 2 | 3 |
Peter | 3 | 2 | 1 | 3 | 4 | 3 |
Now, since Alia’s RAT score is more than her GD score & for Peter, it’s just the reverse, hence, for Alia’s minimum weighted score, RAT result & GD should carry weightage of respectively, which would also give Peter’s maximum score. For getting Alia’s maximum & Peter’s minimum score, the weightages have to be reversed.
Alia’s maximum score of
Alia’s minimum score
Peter’s maximum score
Peter’s minimum score
Q: 30. Assuming, a total of 1000 students appear in Belapur campus, what is Bharti’s percentile in that campus?
(A)
(B)
(C)
(D)
Ans: D
Solution:
Based on the data, the following table gives the weighted score of each candidate for Belapur campus:
Academic Record | Work Exp (15) | Extra- Curricular (0) | Rat (30) | GD (15) | PI (15) | Total weighted score | |
Ravi | 50 | 15 | 0 | 90 | 45 | 60 | 2.6 |
Kiran | 75 | 45 | 0 | 60 | 60 | 75 | 3.15 |
Pragya | 50 | 30 | 0 | 30 | 45 | 30 | 1.85 |
Varun | 25 | 30 | 0 | 60 | 45 | 75 | 2.35 |
Naushad | 75 | 30 | 0 | 60 | 75 | 60 | 3 |
Alia | 75 | 45 | 0 | 120 | 30 | 45 | 3.15 |
Thomas | 25 | 30 | 0 | 60 | 75 | 45 | 2.35 |
Bharti | 100 | 15 | 0 | 60 | 45 | 75 | 2.95 |
Peter | 75 | 30 | 0 | 90 | 60 | 45 | 3 |
Nusrat | 75 | 30 | 0 | 60 | 75 | 75 | 3.15 |
Hence, 5 persons are above Bharti. Thus, Bharti’s percentile percentile.
End Passage