List of top Questions asked in CAT

ATP Women's Tournament Seeding

In the table below is the listing of players, seeded from highest (#1) to lowest (#32), who are due to play in an Association of Tennis Players (ATP) tournament for women. This tournament has four knockout rounds before the final, i.e., first round, second round, quarterfinals, and semi-finals. In the first round, the highest seeded player plays the lowest seeded player (seed #32) which is designated match No. 1 of first round; the 2nd seeded player plays the 31st seeded player which is designated match No. 2 of the first round, and so on. Thus, for instance, match No. 16 of first round is to be played between 16th seeded player and the 17th seeded player. In the second round, the winner of match No. 1 of first round plays the winner of match No. 16 of first round and is designated match No. 1 of second round. Similarly, the winner of match No. 2 of first round plays the winner of match No. 15 of first round, and is designated match No. 2 of second round. Thus, for instance, match No. 8 of the second round is to be played between the winner of match No. 8 of first round and the winner of match No. 9 of first round. The same pattern is followed for later rounds as well

Table 2: Employee Data

Legend:
M = Male, F = Female; Exe = Executive, Mgr = Manager, Dir = Director;
Y = Young, I = In-between, O = Old

Workshop Selection Rules

• For each workshop, exactly four employees are to be sent, of which:
  • At least two should be females.
  • At least one should be young.
• No employee can be sent to a workshop in which he/she is not interested.
• An employee cannot attend:
  • Communication Skills (CS) if committed to projects in January.
  • Business Opportunities (BO) if committed to projects in February.
  • E-Governance (EG) if committed to projects in March.

Table 1: Rice Production, Yield, and Per Capita Production by State

Venkat, a stockbroker, invested a part of his money in the stock of four companies — A, B, C and D. Each of these companies belonged to different industries, viz., Cement, Information Technology (IT), Auto, and Steel, in no particular order. At the time of investment, the price of each stock was Rs. 100. Venkat purchased only one stock of each of these companies. He was expecting returns of 20%, 10%, 30% and 40% from the stock of companies A, B, C and D, respectively. Returns are defined as the change in the value of the stock after one year, expressed as a percentage of the initial value. During the year, two of these companies announced extraordinarily good results. One of these two companies belonged to the Cement or the IT industry, while the other one belonged to either the Steel or the Auto industry. As a result, the returns on the stocks of these two companies were higher than the initially expected returns. For the company belonging to the Cement or the IT industry with extraordinarily good results, the returns were twice that of the initially expected returns. For the company belonging to the Steel or the Auto industry, the returns on announcement of extraordinarily good results were only one and a half times that of the initially expected returns. For the remaining two companies which did not announce extraordinarily good results, the returns realized during the year were the same as initially expected.

2096 Olympics Host City Voting Puzzle

Cities in Contention:

• Beijing (B)
• London (L)
• New York (NY)
• Paris (P)

Voting Rules:

1. In any round, the city with the lowest number of votes is eliminated.
2. A member can vote for at most two different cities over all rounds combined.
3. If both cities a member voted for earlier are eliminated, they become ineligible to vote later.
4. A member cannot vote in a round if the city they represent is still in contention in that round.
5. If eligible, the member must vote for exactly one city in that round.

Voting Table:

Additional Information:

• All who voted for London and Paris in Round 1 continued to vote for the same cities in later rounds while those cities remained in contention.
• 75% of those who voted for Beijing in Round 1 also voted for Beijing in Round 2.
• Those who voted for New York in Round 1 switched to either Beijing or Paris in Round 2.
• In the final round, the difference in votes between the two cities was exactly 1.
• 50% of those who voted for Beijing in Round 1 voted for Paris in Round 3.

The table below presents the revenue (in million rupees) of four firms in three states. These firms, Honest Ltd., Aggressive Ltd., Truthful Ltd. and Profitable Ltd. are disguised in the table as A, B, C and D, in no particular order

Additional Information:

• In the state of MP, Truthful Ltd. has the highest market share.
• Aggressive Ltd.’s aggregate revenue differs from Honest Ltd.’s by Rs. 5 million.

Help Distress (HD) - Volunteer Project Information

Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects:

• Tsunami Relief (TR) in Tamil Nadu
• Flood Relief (FR) in Maharashtra
• Earthquake Relief (ER) in Gujarat

Each volunteer working with Help Distress has to be involved in at least one relief work project.

Given Information:

• A maximum number of volunteers are involved in the FR project. Among them, the number of volunteers involved in FR project alone is equal to the volunteers having additional involvement in the ER project.
• The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects.
• 17 volunteers are involved in the TR project.
• The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone.
• 10 volunteers involved in the TR project are also involved in at least one more project.