Comprehension
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 diagram below gives the area-wise average age (in terms of number of completed years) of faculty members as on April 1 of 2000, 2001, 2002, and 2003.
Question: 1
From which area did the faculty member retire?
From which area did the faculty member retire?
Show Hint
Look for sudden drops in average age to detect retirements and additions of younger members.
Updated On: Jul 31, 2025
- Finance
- Marketing
- OB
- OM
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
From the bar chart, OB shows a noticeable drop in average age between 2001 and 2002, consistent with the retirement of a faculty member (age 60) and replacement with a younger faculty member (age 25). This matches the data pattern for OB.
Was this answer helpful?
0
0
Question: 2
Professors Naresh and Devesh, two faculty members in the Marketing area, who have been with the Institute since inception, share a birthday on 20\textsuperscript{th November. One was born in 1947 and the other in 1950. On April 1, 2005, what was the age of the third faculty member, who has been in the same area since inception?}
Professors Naresh and Devesh, two faculty members in the Marketing area, who have been with the Institute since inception, share a birthday on 20\textsuperscript{th November. One was born in 1947 and the other in 1950. On April 1, 2005, what was the age of the third faculty member, who has been in the same area since inception?}
Show Hint
When working with averages, multiply average by number of members to get the total, then subtract known ages to find unknowns.
Updated On: Jul 31, 2025
- 47
- 50
- 51
- 52
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
In April 2005, Naresh would be 57 years old, Devesh 54. The 2000 Marketing average age was 49.33, so total age sum was $3 \times 49.33 \approx 148$. The third member’s age in 2000 was $148 - (52 + 49) = 47$. Thus, in April 2005, this member would be $47 + 5 = 52$. However, since the answer choices and calculations indicate an inception age, the correct inception age was 47 years.
Was this answer helpful?
0
0
Question: 3
In which year did the new faculty member join the Finance area?
In which year did the new faculty member join the Finance area?
Show Hint
Joining of a younger member always pulls down the average age noticeably in the first year.
Updated On: Jul 31, 2025
- 2000
- 2001
- 2002
- 2003
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The Finance average age drops from 49 in 2000 to 45 in 2001, indicating that a younger faculty member (age 25) joined that year. Thus, the new faculty member joined Finance in 2001.
Was this answer helpful?
0
0
Question: 4
What was the age of the new faculty member, who joined the OM area, as on April 1, 2003?
What was the age of the new faculty member, who joined the OM area, as on April 1, 2003?
Show Hint
Be sure to account for the exact time elapsed since joining when calculating current age.
Updated On: Jul 31, 2025
- 25
- 26
- 27
- 28
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
A new OM faculty member joins in 2002 at age 25. By April 1, 2003, one year has passed, making the age 26.
Was this answer helpful?
0
0
Top Questions on Bar Graph
- Over the top (OTT) subscribers of a platform are segregated into three categories: i) Kid, ii) Elder, and iii) Others. Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows the percentage of the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder' categories.
The following additional facts are known about the numbers of subscribers.
The total number of subscribers increased by 10% from 2023 to 2024.
In 2024, 1/2 of the subscribers from the 'Kid' category and 2/3 of the subscribers from the 'Elder' category subscribers use one app.
In 2023, the number of subscribers from the 'Kid' category who used multiple apps was the same as the number of subscribers from the 'Elder' category who used one app.
10,000 subscribers from the 'Kid' category used one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023. - An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day. The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below
The following information is known about ratings on Day 3.
1. 100 buyers gave product ratings on Day 3.
2. The modes of the product ratings were 4 and 5.
3. The numbers of buyers giving each product rating are non-zero multiples of 10.
4. The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3. - Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below
The following additional facts are known regarding the number of stars received by the bloggers from the surfers.
1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
2. The total numbers of stars received by the bloggers were the same.
3. Each blogger received a different number of stars from M.
4. Two surfers gave all their stars to a single blogger.
5. D received more stars than C from Y - The chart below provides complete information about the number of countries visited by Dheeraj, Samantha and Nitesh, in Asia, Europe and the rest of the world (ROW).
The following additional facts are known about the countries visited by them.
1. 32 countries were visited by at least one of them.
2. USA (in ROW) is the only country that was visited by all three of them.
3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not by Nitesh.
5. Half of the countries visited by both Samantha and Nitesh are in Europe. - Analyse the bar graph carefully and answer the following questions.
View More Questions
Questions Asked in CAT exam
- ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then, the length, in cm, of radius of incircle of \(\triangle ADE\) is
- CAT - 2024
- Mensuration
- Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is
- CAT - 2024
- Time, Speed and Distance
- The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold for 5 rupees less, then the resulting profit would have been 50%. The original selling price, in rupees, of the product is
- CAT - 2024
- Profit and Loss
- Suppose $x_1, x_2, x_3, \dots, x_{100}$ are in arithmetic progression such that $x_5 = -4$ and $2x_6 + 2x_9 = x_{11} + x_{13}$. Then, $x_{100}$ equals ?
- CAT - 2024
- Arithmetic Progression
- A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is
- CAT - 2024
- Mensuration
View More Questions