Logic

Faculty’sAge 1. c 2. d 3. c 4. c RiceProduction 1. a 2. b 3. d Workshopfor Employees 1. a 2. b 3. b ATPtournament for women 1. d 2. c 3. a 4. c Venkat,the stockbroker 1. a 2. b 3. c 4. b Voting in IOC 1. d 2. d 3. d 4. a Honest,Aggressive, Truthful and Profitable Ltd. 1. b 2. c 3. c 4. c NGO Help Distress 1. c 2. a 3. b 4. d

(CAT 2005) 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, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project. 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. • Ten volunteers involved in the TR project are also involved in at least on...

(CAT 2005) 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. Further, it is known that: • 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. 1. What can be said regarding the following two statements? Statement 1: Profitable Ltd. has the lowest share in MP market. Statement 2: Honest Ltd.’s total revenue is more than Profitable Ltd. a. If Statement 1 is true then Statement 2 is necessarily true. b. If Statement 1 is true then Statement 2 is necessarily false. c. Both Statement 1 and Statement 2 are true. d. Neither Statement 1 nor Statement 2 is true. 2. What can be said regarding the following two statements? Statement 1: Aggressive Ltd.’s lowest revenues are from MP. ...

(CAT 2005) The year is 2089. Beijing, London, New York, and Paris are in contention to host the 2096 Olympics. The eventual winner is determined through several rounds of voting by members of the IOC with each member representing a different city. All the four cities in contention are also represented in IOC. (a) In any round of voting, the city receiving the lowest number of votes in that round gets eliminated. The survivor after the last round of voting gets to host the event. (b) A member is allowed to cast votes for at most two different cities in all rounds of voting combined. (Hence, a member becomes ineligible to cast a vote in a given round if both the cities (s)he voted for in earlier rounds are out of contention in that round of voting.) (c) A member is also ineligible to cast a vote in a round if the city (s)he represents is in contention in that round of voting. (d) As long as the member is eligible, (s)he must vote and vote for only one candidate city in any ...

(CAT 2005) 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 in...

(CAT 2005) 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 ins...

(CAT 2005) The table below reports the gender, designation and age-group of the employees in an organization. It also provides information on their commitment to projects coming up in the months of January (Jan), February (Feb), March (Mar) and April (Apr), as well as their interest in attending workshops on: Business Opportunities (BO), Communication Skills (CS), and E-Governance (EG). M = Male, F = Female; Exe = Executive, Mgr = Manager, Dir = Director; Y = Young, I = In between, O = Old For each workshop, exactly four employees are to be sent, of which at least two should be Females and at least one should be Young. No employee can be sent to a workshop in which he she is not interested in. An employee cannot attend the workshop on • Communication Skills, if he/she is committed to internal projects in the month of January. • Business Opportunities, if he/she is committed to internal projects in the month of February. • E-governance, if he/she is committ...

(CAT 2005) The table below reports annual statistics related to rice production in select states of India for a particular year. 1. Which two states account for the highest productivity of rice (tons produced per hectare of rice cultivation)? a. Haryana and Punjab b. Punjab and Andhra Pradesh c. Andhra Pradesh and Haryana d. Uttar Pradesh and Haryana 2. How many states have a per capita production of rice (defined as total rice production divided by its population) greater than Gujarat? a. 3 b. 4 c. 5 d. 6 3. An intensive rice producing state is defined as one whose annual rice production per million of population is at least 400,000 tons. How many states are intensive rice producing states? a. 5 b. 6 c. 7 d. 8 For answers  click here .

(CAT 2005) 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 diagram 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. 1. From which area did the faculty member retire? a. Finance b. Marketing c. OB d. OM 2. Professors Naresh and Devesh, two facult...