CAT 2017: Data Interpretation Question 1 Venkatesan IIMB Alumnus

Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorized based on the total score obtained by summing the scores of ail the three parameters, as shown in the following table: 14-19 5-8 Unhappy Neutral Total Score 0-4 9-13 20-24 Category Very Happy Very Happy Unhappy

Following diagram depicts the frequency distribution of the scores in S, F and C of 10 countries - Amda, Benga, Calla, Delma, Eppa, Varsa, Wanna, Xanda, Yanga and Zoorna; 5 0 5 Scores

Further, the following are known: 1. Amda and Calls jointly have the lowest total score, 7, with identical scores in all the three parameters 2. Zooma has a total score of 17. 3. All the 3 countries, which are categorized as happy, have the highest score in exactly one parameter

Question No.:1 What is Amda's score in F? A) 1 B) 2 C) 3 D) 4

Question No.: 2 What is Zooma's score in C? A) 6 B) 7 C) 5 D) Cannot be Determined

Question No.: 3 Benga and Delma, two countries categorized as happy, are tied with the same total score. What is the maximum score they can have? A) 14 B) 15 C) 16 D) 17

Question No.: 4 If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13? A) 0 B) 1 C) 2 D) 3

Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorized based on the total score obtained by summing the scores of ail the three parameters, as shown in the following table: 14-19 5-8 Unhappy Neutral Total Score 0-4 9-13 20-24 Category Very Happy Very Happy Unhappy

Following diagram depicts the frequency distribution of the scores in S, F and C of 10 countries - Amda, Benga, Calla, Delma, Eppa, Varsa, Wanna, Xanda, Yanga and Zoorna; #5 0 4 Tot 10 10 10 Scores

0 Further, the following are known: 1. Amda and Calls jointly have the lowest total score, 7, with 4 identical scores in all the three parameters. 2. Zooma has a total score of 17. 3. All the 3 countries, which are categorized as happy, have Tot 10 10 10 the highest score in exactly one parameter. Amda Calls Total 4

0 Further, the following are known: 1. Amda and Calls jointly have the lowest total score, 7, with 4 identical scores in all the three parameters. 2. Zooma has a total score of 17. 3. All the 3 countries, which are categorized as happy, have Tot 10 10 10 the highest score in exactly one parameter. Zooma /XX /YY Total 17 Name S Zooma 7/44/7 6

Question No.:1 What is Amda's score in F? A) 1 B) 2 C) 3 D) 4 Total 1 4

Question No.: 3 Benga and Delma, two countries categorized as happy, are tied with the same total score. What is the maximum score they can have? A) 14 B) 15 C) 16 D) 17

Question No. : 4 If Benga scores 16 and Delma scores 15, then what is the maximum number of countries witha score of 13? A) 0 B) 1 C) 2 D) 3 0 4 Name Zooma 6 Delma 7 Benga5 Total 17 15 16 13 4 4 1 4 Tot 10 10 10

Question No. : 25 A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule. The underlying principle that they are working on is the following: Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day. If the underlying principle is to be satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is A) 45 B) 90 C) 180 D) 135

Question No.: 26 A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule. The underlying principle that they are working on is the following: Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

Question No.:27 A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule. The underlying principle that they are working on is the following: Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.

Suppose the 10 cities are divided into 4 distinct groups 01,02,03,04 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following: 1. Both cities are in G1 2. Between A and any city in G2 3. Between B and any city in G3 4. Between C and any city in G4 A) 40 B) C) D)

1. Both cities are in G1 2. Between A and any city in G2 3. Between B and any city in G3 4. Between C and any city in G4 However, due to operational difficulties at A, it was later decided that the only flights that would teo m B. Cities in G2 would have operate at A would be those to and from B. Cities in G2 would have to be assigned to G3 or to G4. What would be the maximum reduction in the number of direct flights as compared to the situation before the operational difficulties arose? A) 4 B) C) D)

How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department? A) 2 B) C) D)

Question No.: 30 Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-NB and a car that takes the route A-M-B? A) 1 B) 0.1 C) 0.2 D) 0.9

Question No.: 3:1 Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order

Question No.: 3.2 Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes.) On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and A-MN-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute. Assume that any car taking the A M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route. If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.) A) 26 B) 32 C) 29.9 D) 30

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Venkatesan S

IIM Bangalore Alumni | Cleared CAT 2015 | Cleared IIM B, C, L, K & I

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R.S. S.

8 months ago

yes mam plz do continue

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