Management Institute Faculty Average Ages

CAT 2005 Slot 1 · DILR · Hard · DILR

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Passage / data set

A management institute was established on January 1, 2000 with 3, 4, 5, and 6 faculty members in the Marketing, Organisational Behaviour (OB), Finance, and Operations Management (OM) areas respectively, to start with. No faculty member retired or joined the institute in the first three months of the year 2000. In the next four years, the institute recruited one faculty member in each of the four areas. All these new faculty members, who joined the institute subsequently over the years, were 25 years old at the time of their joining the institute. All of them joined the institute on April 1. During these four years, one of the faculty members retired at the age of 60. The following chart gives area-wise average age of faculty members as on April 1 of 2000, 2001, 2002, and 2003.

  • Marketing: 2000 (49.33), 2001 (44), 2002 (45), 2003 (46)
  • OB: 2000 (50.5), 2001 (51.5), 2002 (52.5), 2003 (47.8)
  • Finance: 2000 (50.2), 2001 (49), 2002 (45), 2003 (46)
  • OM: 2000 (45), 2001 (43), 2002 (44), 2003 (45)

Question 1 of 4

From which area did the faculty member retire?

  1. A.

    Finance

  2. B.

    Marketing

  3. C.

    OB

  4. D.

    OM

Answer

C

Explanation

Two dips in average age occur when a 25-year-old joins AND a 60-year-old retires. In Finance, average age drops twice (50.2 to 49 to 45), indicating both a retirement and a new recruit. Thus the faculty member retired from Finance.

Question 2 of 4

Professors Naresh and Devesh, two faculty members in the Marketing area, who have been with the Institute since its inception, share a birthday, which falls on 20th November. One was born in 1947 and the other one in 1950. On April 1 2005, what was the age of the third faculty member, who has been in the same area since inception?

  1. A.

    47

  2. B.

    50

  3. C.

    51

  4. D.

    52

Answer

D

Explanation

On April 1, 2000, ages of Naresh and Devesh were 52 and 49 (born in 1947 and 1950). Average age of Marketing on April 1, 2000 =49.33= 49.33 for 3 members. Sum of ages =49.33×3=148= 49.33 \times 3 = 148. Age of third professor on April 1, 2000 =148−(52+49)=47= 148 - (52 + 49) = 47. On April 1, 2005 (5 years later), age of the third professor =47+5=52= 47 + 5 = 52 years.

Question 3 of 4

In which year did the new faculty member join the Finance area?

  1. A.

    2000

  2. B.

    2001

  3. C.

    2002

  4. D.

    2003

Answer

C

Explanation

Joining of a 25-year-old causes a larger drop in average age than retirement of a 60-year-old. The significant drop from 49 to 45 occurs in 2002, indicating the new faculty joined in 2002.

Question 4 of 4

What was the age of the new faculty member, who joined the OM area, as on April 1, 2003?

  1. A.

    25

  2. B.

    26

  3. C.

    27

  4. D.

    28

Answer

C

Explanation

In OM, average age dips in 2001 (from 45 to 43), meaning the 25-year-old joined on April 1, 2001. On April 1, 2001, age =25= 25. On April 1, 2003 (2 years later), age =25+2=27= 25 + 2 = 27 years.

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