Logic

(CAT 2019) A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018. The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department. In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%. It is known that The percentage profit for the store in 2016 was 100%. The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018. There was no profit from the Electronics department in 2017. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department. 1) What was the percentage profit of the store in 2018? 2) What was the ratio of revenue generated from the Produce department In 2017 to that in 2018? 8 : 5 ...

(CAT 2019) Three pouches (each represented by a filled circle) are kept in each of the nine slots in a 3× 3 grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8. There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4. 1) What is the total amount of money (in rupees) in the three pouches kept in the first column of the second row? 2) How many pouches contain exactly one coin? 3) What is the nu...

(CAT 2019) To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the 16 states. The figure given below shows the actual rainfall (measured in mm) during June-August, 2019 and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure. 1) If a ‘Heavy Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 900 mm or more, then approximately what percentage of ‘Heavy Monsoon States’ have a negative deviation from respective LPAs in 2019? 75.00 57.14 42.86 14.29 2) If a ‘Low Monsoon State’ is defined as a state with actual rainfall from June-August, 2019 of 750 mm or less, then what is the median ‘deviation from LPA’ (as defined in the Y-axis of the figure) of ‘Low Monsoon States’? -30% 10% -20% -10% 3) What is the average rainfall of all states that have actual rainfall of 600 mm ...

(CAT 2019) Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table. The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday. On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token ...

(CAT 2019) The first year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. Each of MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15- mark questions followed the 10-mark questions. The following additional facts are known. Annie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks. Annie prepared one question for MT. Every other ...

(CAT 2019) Students in a college are discussing two proposals -- A: a proposal by the authorities to introduce dress code on campus, and B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. A student does not necessarily support either of the two proposals. In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey. 250 students supported proposal A and 250 students supported proposal B. Among the 200 students who preferred Sunita as student union president, 80% supported proposal A. Among those who preferred Ragini, 30% supported proposal A. 20% of those who supported proposal B preferred Sunita. 40% of those who did not support proposal B preferred Ragini. Every student who preferred Sunita and supported pro...

(CAT 2019) In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English. These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language. The following facts are known. Each team speaks exactly four languages and has the same number of members. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team. None of the teams include both Quentin and Robert. Paula and Sally are together in exactly two teams. Robert is in Team 1 and Quentin is in Team 3. 1) Who among the following four is not a member of Team 2? Sally Paula Quentin Terence 2) Who among the following four people is a part of exactly two teams? Sally Quentin Robert Paula 3) Who among the five people is a me...

(CAT 2019) Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. The following information is known about Rounds 1 through 6:Gordon did not score consecutively in any two rounds. Eric and Fatima both scored in a round. The following information is known about Rounds 7 through 10: Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds. Joshin scored in Round 7, while Amita scored in Roun...

Rifle Shooting Competition 1) C 2) A 3) C 4) D Languages 1) C 2) A 3) D 4) B Two Proposals 1) 64 2) 84 3) B 4) D MT and ET 1) C 2) D 3) A 4) B Doctor's Appointment 1) C 2) A 3) D 4) D Rainfall Data 1) C 2) D 3) C 4) B Pouches 1) 13 2) 8 3) 2 4) 3 Departmental Store 1) 25 2) A 3) 70 4) A

(CAT 2019) A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers. The following additional facts are known. A and B are to be placed in consecutively numbered shelves in increasing order I and J are to be placed in consecutively numbered shelves both higher numbered than the shelves in which A and B are kept. D, E and F are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies. K is to be placed in shelf number 16. L and J are items of the same type, while H is an item of a different type. C is a candy an...

(CAT 2019) A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes. 1) What is the minimum possible number of different types of prizes? 2) What is the maximum possible number of different types of prizes? 3) Which of the following is not possible? There are exactly 30 items of type b. There are exactly 75 items of type e. There are exactly 60 items of type d. There are exactly 45 items of type c. 4) You ask for the type of item in box 45. Instead of being given ...

(CAT 2019) The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016. The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes. The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r?1) states/UTs having a larger number of cases registered in that category of crimes. For example, if two states have the same number of cases in a category, and exactly three other states/UTs ...

(CAT 2019) The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f. Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection. The following additional facts are known. X, U, and Z are standing at the three corners of a triangle formed by three street segments. X can see only U and Z. Y can see only U and W. U sees V standing in the next intersection behind Z. W cannot see V or Z. No one among the six is standing ...

(CAT 2019) Six players – Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull’s eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull’s eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three. A player’s total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing. The following facts ar...

(CAT 2019) Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects – Cost, Customer Service, Features, Quality, Reach, and Reliability. Each of these evaluations are on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost. 1) On which aspect is the median score of the five vendors the least? Cost Quality Reliability Customer Service 2) A vendor's final score is the average of their scores on all six aspects. Which vendor has the highest final score? Vendor 1 Vendor 3 Vendor 4 Vendor 2 3) List of all the vendors who are among the top two scorers on the maximum number of aspects is: Vendor 1 and Vendor 2 Vendor 2, Vendor 3 and Vendor 4 Vendor 2 and Vendor 5 Vendor 1 and Vendor 5 4) List of all the vendors who are among the top t...

(CAT 2019) Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items. The following additional facts are known.No composer who assigned item to Princess, assigned any item to Queen. No composer who assigned item to Rani, assigned any item to Samragni. The first performance was by Princess; this item was assigned by Badal. The last performance was by Rani; this item was assigned by Gagan. The items assigned by Ashman were performed consecutively. The number of performanc...

(CAT 2019) The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G,H, J, K, with distinct letters representing distinct digits. 1) Which digit does the letter A represent? 2) Which digit does the letter B represent? 3) Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D? 4) Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G? For Answer Click Here .

DIGIT Problem 1) 1 2) 9 3) 7 4) 6 Dance Competition 1) A 2) A 3) C 4) A Vendor Evaluation 1) D 2) B 3) D 4) D Archery Tournament 1) C 2) D 3) C 4) A Road Intersections 1) C 2) B 3) B 4) D Crime Analysis 1) 5 2) C 3) B 4) 5 TV Game Show 1) 2 2) 6 3) D 4) A Supermarket 1) D 2) D 3) C 4) D