IIFT 18th Dec 2022 Slot 1
A company has decided to start a transport service. The company will be operating its service from eight different locations which connect each location directly. The travel duration between any two locations will be less than two hours. The company has to decide on the location based on the commuter daily schedules. The person staying in any of these eight locations should be able to commute to any other location in the morning and should be able to return by evening on the same day.
Suppose two of the eight locations are planned to be designated as core location. A core location is a location which is connected with every other location by direct bus each way, both in the morning as well as in the evening. The only direct bus which will be scheduled are originating in or terminating in one of the core location. Then, the minimum number of direct buses that need to be planned so that company is able to serve all the eight locations without visiting more than one core location during one trip are ... ?
For the following questions answer them individually
The director of an institute ha to choose four student out of eight students for a trip to Mumbai. The director decided to choose these four students in such a manner that each selected student has a common interest with at least one of the other student chosen for the trip.
The elected student must also di like at least one of the interest of the other students.
Student A has interest in reading and playing football but dislikes shopping
Student B has interest in playing football and cricket but dislikes reading
Student C has interest in hopping but dislike to play football
Student D has interet in watching movies and dislikes to play cricket
Student E has interest in playing cricket but dislikes to play football and watch moYies
Student F has interest in reading books but dislikes to play football and watch movies
Student G has interest in hopping and watching movies, but dislikes to read books
Student H has interest in playing football and shopping but dislikes movies
Who are the four students chosen by the director for the trip.
In the annual cultural festival of a university, a quiz competition was conducted, wherein all participants were given three rounds with two questions in each round. In the first round, the participants get 40 points for each correct answer and a penalty of 20 points for each incorrect answer. If the participant answers both questions correctly, a bonus of 20 points is given. In the second round, the participant gets the same points as in the first round. Additionally, if both questions are incorrect, an additional penalty of 20 points is imposed. In the last round, the participant gets 80 points for each correct answer and a penalty of 40 points for each incorrect answer.
If only two an answers are correct in the whole quiz, what is the probability that score would be 40?
Figure 1 depicts the percentage of the total number of male and female athletes from the given five countries: Australia, Brazil, Canada, China, and Italy who participated in the Tokyo Olympics in the year 021.
The total number of athletes who participated from the given five countries is 32400
In Figure 2, the percentage of the number of female athletes from the same five countries who participated in the Tokyo Olympics in the year 2021 are given as under:
If the total number of female athletes who participated in 2021 Olympics from the given five countries were 15000, then how many countries had the number of male athletes less than the number of female athletes?
If the average number of male athletes from all the given five countries 4000, then what was the average number of female athletes from Italy and Canada?
In the 2021 Olympics, if the proportion of male athletes to female athletes from Canada was 31:50, what would be the corresponding ratio for male to female athletes for China in the same year?
If the total number of female athletes who participated from the given five countries were 18000, then what is the ratio of the number of female athlete from Canada to the total number of athletes from Brazil .
Figure 3 depicts the pie chart indicating the percentage distribution of per unit steel price over the period of eight years from 2005 to 2012. The average per unit price of steel from 2005 to 2012 = Rs. 11. (Absolute per unit steel prices can be rounded off to nearest
integer value).
Figure 4 depicts the revenue & profit of a steel manufacturing company respectively. There is no fixed cost component and all units of steel produced is sold in the same year. Answer the questions given below:
