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):

Q_28-to-30_Table of the Score a Candidate May Get for Each of the Parameter
Q_28-to-30_Table of 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:

Q_28-to-30_1_Table of the Describes Profiles of Those 10 Candidates
Q_28-to-30_1_Table of the Describes Profiles of those 10 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:

Q_28_Table of Find the Weighted Score
Q_28_Table of Find the Weighted Score

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:

Q_29_Table of Parameter-Wise Score
Q_29_Table of Parameter-Wise Score

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:

Q_30_Table of Weighted Score
Q_30_Table of Weighted Score

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

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