CAT Model Paper 5 Questions and Answers with Explanation Part 3

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Directions for questions 13 to 15:

Haryana Institute of Management (HIM) is a reputed management institute in North India. It offers a year MBA program to its students. Each year the total numbers of 2nd Year students are split equally into four sections, viz A, B, C and D. The following table gives the number of students who are in their 2nd year of studies across various years

Q_13_to_15_Table of No. Of Students in the 2nd Year
Q_13_to_15_Table of No. of Students in the 2nd Year

Year

No. Of students in the 2nd year (Batch size)

2007-08

240

2008-09

300

2009-10

360

2010-11

400

Only 2nd year students are eligible to attend job placements and each eligible student who attends placements is placed in exactly one company in one of the six sectors viz. Finance, Marketing, Operations, HR, Consulting and Others. The following pie-charts give details about the students placed in each sector as a percentage of the total number of students placed in the years .

Q 13-to-15 Pie-Charts give Details about the Students Placed

Q 13-to-15 Pie-Charts Give Details About the Students Placed

v

Q: 13. In of the students of section A were ineligible to attend placements. If all the remaining students of section A attended placements, then what is the minimum number of students of class A who were placed in a sector apart from Consulting? It is also known that of the entire batch did not attend placements, including the students of section A ineligible for placements.

(A)

(B)

(C)

(D)

Ans: B

Solution:

Size of the

16.67% of the batch did not attend placements. The remaining 83.33% attended placements and each one of them is placed in one of the six sectors.

Hence, number of students from the batch placed

Of the students placed, number of students placed in consulting

To minimize the number of students of section A placed in a sector apart from consulting, we maximize the number of students of class A who are placed in consulting.

Number of students from section

Number of students from section A who were placed

(since are ineligible to attend placements and the remaining students attended placements)

Of the students of section A who are placed, a maximum of people can be placed in consulting. Hence, the remaining students should have been placed in a sector apart from consulting.

Q: 14. The entire batch of 2010-11 attended placements. Moreover, one-fourth of the batch of was female. One-third of those who were placed in the marketing sector were male. Three-fourths of those who were placed in the operations sector were male. What is the minimum number of males of the 2010-11 batch who could have been placed in the finance sector?

(A)

(B)

(C)

(D)

Ans: C

Solution

The correct choice is (C). 100 students of the 2010-11 batch was female.

Q_14_Table of 100 Students of the 2010-11 Batch Was Female
Q_14_Table of 100 Students of the 2010-11 Batch was Female

Sector

NO. Of student placed

in each sector

No. Of males

No. Of females

Finance

Marketing

Operations

HR

Consulting

Others

Total

To minimize the number of male students placed in the finance sector, we maximize the number of female students placed in the finance sector. Since females have already been placed in other sectors (40 in marketing and 13 in operations), a maximum of 7 females can be placed in the finance sector. Hence, the remaining people 80 – 70 = 73should be males.

Q: 15. The number of students who attended placements as a percentage of the total number of students in the year , respectively. In each of the four years, apart from , the ratio of the number of students who did not attend placements in classes A, B, C and D was . In all the four years put together, find the maximum possible number of students from class C who could have been placed in the Marketing sector?

(A)

(B)

(C)

(D)

Ans: A

Solution:

Q_15_Table of Find the Maximum Possible Number of Students from Class C
Q_15_Table of Find the Maximum Possible Number of Students from Class C

Year

Batch size

% of students placed

No of students places

No. Of students who did not attend placements

No. Of students in class C

No. Of students from class C who were placed

Total

Class C

2007-08

240

83.33%

200

40

60

44

2008-09

300

100%

300

0

75

75

2009-10

360

83.33%

300

60

90

66

2010-11

400

75%

300

100

100

60

Q_15_1_Table of Find the Maximum Possible Number of Students from Class C
Q_15_1_Table of Find the Maximum Possible Number of Students from Class C

Year

No. Of students Placed

No. Of students placed in Marketing sector

2007-08

200

2008-09

300

2009-10

300

2010-11

300

In , all the of class C can be placed in marketing sector

In , a maximum of students of class C can be placed in marketing sector

In , all the students of class C can be placed in marketing sector

In , all the students of class C can be placed in marketing sector

Hence, total number of students

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