# 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.

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