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Answers for CAT 2017

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

Management School

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(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...

7 Electives

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(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 However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college.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...

TMRLI

(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 ...

Eight friends

(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...

Tea Taster

(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 ...

Funky Pizzaria

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(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 ...