CAT 2017: Data Interpretation Question 5 Venkatesan S IIMB Alumnus

In a square layout of size 5m x 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below: 9 4 6 1 7 Individuals (all of same height) are seated on these platforms. We say an individual A can reach at individual B if all the three following conditions are met:

(i) A and B are In the same row or column (ii) A is at a lower height than B (ii) If there is/are any individuals (s) between A and B, such individual(s) must be at a height lower than that of A Thus in the table given above, consider the Individual seated at height 8 on 3rd row and 2nd column. He can be reached by four individuals. He can be reached by the individual on his left at height 7, by the two individuals on his right at heights of 4 and 6 and by the individual above at height 5 Rows in the layout are numbered from top to bottom and columns are numbered from left to right.

Question No.:1 How many individuals in this layout can be reached by just one individual? A) 3 B) 5 C) 7 D) 8

Question No.: 2 Which of the following is true for any individual at a platform of height 1 m in this layout? A) They can be reached by all the individuals in their own row and column B) They can be reached by at least 4 individuals C) They can be reached by at least one individual D) They cannot be reached by anyone

Question No.:3 We can find two individuals who cannot be reached by anyone in A) the last row B) the fourth row C) the fourth column D) the middle column

Question No.: 4 Which of the following statements is true about this layout? A) Each row has an individual who can be reached by 5 or more individuals B) Each row has an individual who cannot be reached by anyone C) Each row has at least two individuals who can be reached by an equal number of individuals D) All individuals at the height of 9 m can be reached by at least 5 individuals

In a square layout of size 5m x 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below: 9 4 6 1 7 Individuals (all of same height) are seated on these platforms. We say an individual A can reach at individual B if all the three following conditions are met:

(i) A and B are In the same row or column (ii) A is at a lower height than B (ii) If there is/are any individuals (s) between A and B, such individual(s) must be at a height lower than that of A Thus in the table given above, consider the Individual seated at height 8 on 3rd row and 2nd column. He can be reached by four individuals. He can be reached by the individual on his left at height 7, by the two individuals on his right at heights of 4 and 6 and by the individual above at height 5 Rows in the layout are numbered from top to bottom and columns are numbered from left to right.

Question No.:1 How many individuals in this layout can be reached by just one individual? A) 3 B) 5 C) 7 D) 8

Question No.:1 How many individuals in this layout can be reached by just one individual? A) 3 B) 5 C) 7 D) 8 2 7 4 1

Question No.: 2 Which of the following is true for any individual at a platform of height 1 m in this layout? A) They can be reached by all the individuals in their own row and column B) They can be reached by at least 4 individuals C) They can be reached by at least one individual D) They cannot be reached by anyone

Question No.:3 We can find two individuals who cannot be reached by anyone in A) the last row B) the fourth row C) the fourth column D) the middle column

Question No.: 4 Which of the following statements is true about this layout? A) Each row has an individual who can be reached by 5 or more individuals B) Each row has an individual who cannot be reached by anyone C) Each row has at least two individuals who can be reached by an equal number of individuals D) All individuals at the height of 9 m can be reached by at least 5 individuals 6 2 4 4 5 6

Question No.:1 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.: 2 Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is: A) 54 B) 120 C) 96 D) 60

Question No.:3 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 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)

CAT 2017: Data Interpretation Question 7 Venkatesan S IIMB Alumnus

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)

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. How many cars would the police department order to take the A-M-N-B route so that it is not possible for any car to reduce its travel time by not following the order while the other cars follow the order? (Assume that the police department would never order all the cars to take the same route.) A) 2 B) C) D)

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

CAT 2017: Data Interpretation Question 7 Venkatesan S IIMB Alumnus

Question No.:1 A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence. The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence. The lab has decided to allow a variation in the sequence of scans of the five fingers so that at most two scans (out of five) are out of place. For example, if the original sequence is Thumb (T), index finger (I), middle finger (M), ring finger (R) and little finger (L) then TLMRI is also allowed, but TMRLI is not. How many different sequences of scans are allowed for any given person's original scan? A) 11 B) C) D)

Question No.:3 A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence. The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence. The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL. Suppose the lab allows a variation of the original sequence (of six inputs) where at most two scans (out of six) are out of place, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed for any given person's original scan? A) 15 B) C) D)

Question No.: 4 A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in arn order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence. The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence The lab has now decided to require six scans in the pass key sequence, where exactly one finger is scanned twice, and the other fingers are scanned exactly once, which can be done in any order. For example, a possible sequence is TIMTRL. Suppose the lab allows a variation of the original sequence (of six inputs) so that input in the form of scanned sequence of six fingers is allowed to vary from the original sequence by one place for any of the fingers, as long as the finger originally scanned twice is scanned twice and other fingers are scanned once. How many different sequences of scans are allowed if the original scan sequence is LRLTIM? A) 8 B) 11 C) 13 D) 14

Question No.: 2 If the number of candidates who are at or above the 90th percentile overall and also at or above the 80th percentile in all three sections in CET is actually a multiple of 5, what is the number of candidates who are at or above the 90th percentile overall and at or above the 80th percentile in both P and M in CET? A) 60 B) C) D)

Question No.:3 If the number of candidates who are at or above the 90 th percentile overall and also at or above the 80 th percentile in all three sections in CET is actually a multiple of 5, then how many candidates were shortlisted for the AET for AIE? A) 170 B) C) D)

Question No.: 4 If the number of candidates who are at or above the 90th percentile overall and also are at or above the 80th percentile in P in CET, is more than 100, how many candidates had to sit for the separate test for BIE? A) 299 B) 310 C) 321 D) 330

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Venkatesan S

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