Logic

Healthy Bites 1. B 2. C 3. A 4. B Survey 1. A 2. A 3. A 4. A Simple Happiness index x 1. 1 2. 6 3. B 4. B 21 Employees 1. B 2. A 3. B 4. D Square Layout 1. C 2. D 3. C 4. C A new airlines company 1. C 2. C 3. 40 4. 4 Akala to Bakala 1. 2 2. B 3. 2 4. B Funky Pizzaria 1. B 2. C 3. B 4. A Tea Taster 1. 7 2. 4 3. B 4. B Eight friends 1. A 2. C 3. D 4. D TMRLI 1. 11 2. C 3. 15 4. C 7 Electives 1. C 2. D 3. D 4. A Management School 1. D 2. 19 3. 3 4. D Common Entrance Test 1. A 2. 60 3. 170 4. A Distribution of Assets 1. C  2. 2 3. B 4. 20 ChessBoard 1. C 2. D 3. C 4. C

(CAT 2017) At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms. For any dorm, the estimated repair cost (in Rs. Crores) is an integer. Repairs with estimated cost Rs. 1 or 2 Crores are considered light repairs, repairs with estimated cost Rs. 3 or 4 are considered moderate repairs and repairs with estimated cost Rs. 5 or 6 Crores are considered extensive repairs. Further, the following are known: 1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair. 2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum 1. Which of the following is NOT necessarily true? (A) Dorm 1 needs a moderate repair (B) Dorm 5 repair will cost no more than Rs. 4 Crores (C) Dorm 7 need...

(CAT 2017) There were seven elective courses – El to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1. Further, the following are known: 1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1. 2. The number of students in E2 inc...

(CAT 2017) 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. Questions 1. 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? 2. The lab has decided to allow ...

(CAT 2017) Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows, numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row. Cheap Air charges Rs. 1000 extra for any sea...

(CAT 2017) A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below: 1. Cup 6 contained tea from Himachal. 2. Tea from Ooty got the highest rating, but it was not in Cup 3. 3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5. 4. Only two cups got ratings in even numbers. 5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1. 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam. Questions 1. What was the second highest rating given? 2. What was the number of the cup that contained tea ...

(CAT 2017) Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2. Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are four types of pizzas: T-NC, T-EC, D-NC and D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties is given below: 1. How many Thin Crust pizzas were to be delivered to Party 3? A) 398 (B) 162 (C) 196 (D) 364 2. How many Normal Cheese pizzas were required to be delivered to Party 1? (A) 104 (B) 84 (C) 16 (D) 196 3. For Party 2, if 50% of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of TEC and D-EC pizzas to be delivered to Party 2? (A) 18 (B) 12 (C) 30 (D) 24 4. Suppose that a ...

(CAT 2017) 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. 1. How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala...

(CAT 2017) 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. 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 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, bo...

(CAT 2017) In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below: Individuals (all of same height) are seated on these platforms. We say an individual A can reach art 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 (iii) If there is/are any individuals (s) between A and B, such individual(s) must be at a height tower 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. 1. How many individuals in this l...

(CAT 2017) There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE). During the next five months, the division has to complete five projects every month. Out of the 25 projects, 5 projects are “challenging”, while the remaining ones are “standard”. Each of the challenging projects has to be completed in different months. Every month, five teams – T1, T2, T3, T4 and T5, work on one project each. T1, T2, T3, T4 and T5 are allotted the challenging project in the first, second, third, fourth and fifth month, respectively. The team assigned the challenging project has one more employee than the rest. In the first month, T1 has one more SE than T2, T2 has one more SE than T3, T3 has one more SE than T4, and T4 has one more SE than T5. Between two successive months, the composition of the teams changes as follows: a. The team allotted the challenging project, gets two SE from the team which w...

(CAT 2017) 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: 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 Zooma; 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 categorised as happy, have the highest score in exactly one parameter. 1. What is Amda’s score in F? 2. What is Zooma’s score in S? 3. Benga and Delma, two countries cate...