Logic

 (CAT 2018) The base exchange rate of a currency X with respect to a currency Y is the number of units of currency Y which is equivalent in value to one unit of currency X. Currency exchange outlets buy currency at buying exchange rates that are lower than base exchange rates, and sell currency at selling exchange rates that are higher than base exchange rates. A currency exchange outlet uses the local currency L to buy and sell three international currencies A, B, and C, but does not exchange one international currency directly with another. The base exchange rates of A, B and C with respect to L are in the ratio 100:120:1. The buying exchange rates of each of A, B, and C with respect to L are 5% below the corresponding base exchange rates, and their selling exchange rates are 10% above their corresponding base exchange rates. The following facts are known about the outlet on a particular day: 1. The amount of L used by the outlet to buy C equals the amount of L it received by sel...

 (CAT 2018) Seven candidates, Akil, Balaram, Chitra, Divya, Erina, Fatima, and Ganeshan, were invited to interview for a position. Candidates were required to reach the venue before 8 am. Immediately upon arrival, they were sent to one of three interview rooms: 101, 102, and 103. The following venue log shows the arrival times for these candidates. Some of the names have not been recorded in the log and have been marked as ‘?’. Time 7:10 AM 7:15 AM 7:25 AM 7:30 AM 7:40 AM 7:45 AM Person Akil, ? ? ? Chitra Fatima ? Additionally here are some statements from the candidates: Balaram: I was the third person to enter Room 101. Chitra: I was the last person to enter the room I was allotted to. Erina: I was the only person in the room I was allotted to. Fatima: Three people including Akil were already in the room that I was allotted to when I entered it. G...

 (CAT 2018) An agency entrusted to accredit colleges looks at four parameters: faculty quality (F), reputation (R), placement quality (P), and infrastructure (I). The four parameters are used to arrive at an overall score, which the agency uses to give an accreditation to the colleges. In each parameter, there are five possible letter grades given, each carrying certain points: A (50 points), B (40 points), C (30 points), D (20 points), and F (0 points). The overall score for a college is the weighted sum of the points scored in the four parameters. The weights of the parameters are 0.1, 0.2, 0.3 and 0.4 in some order, but the order is not disclosed. Accreditation is awarded based on the following scheme: Range Accreditation Overall score ≥ 45 AAA 35 ≤ Overall score < 45 BAA 25 ≤ Overall score < 35 BBA 15 ≤ Overall score < 25 BBB Overall score < 15 ...

 (CAT 2018) There are only four brands of entry level smartphones called Azra, Bysi, Cxqi, and Dipq in a country. Details about their market share, unit selling price, and profitability (defined as the profit as a percentage of the revenue) for the year 2016 are given in the table below: In 2017, sales volume of entry level smartphones grew by 40% as compared to that in 2016. Cxqi offered a 40% discount on its unit selling price in 2017, which resulted in a 15% increase in its market share. Each of the other three brands lost 5% market share. However, the profitability of Cxqi came down to half of its value in 2016. The unit selling prices of the other three brands and their profitability values remained the same in 2017 as they were in 2016. 1) The brand that had the highest revenue in 2016 is: Cxqi Bysi Azra Dipq 2) The brand that had the highest profit in 2016 is: Azra Dipq Bysi Cxqi 3) The brand that had the highest profit in 2017 is: Azra Bysi Cxqi Dipq 4)  The complet...

 (CAT 2018) Each of the 23 boxes in the picture below represents a product manufactured by one of the following three companies: Alfa, Bravo and Charlie. The area of a box is proportional to the revenue from the corresponding product, while its centre represents the Product popularity and Market potential scores of the product (out of 20). The shadings of some of the boxes have got erased. The companies classified their products into four categories based on a combination of scores (out of 20) on the two parameters - Product popularity and Market potential as given below: The following facts are known: 1. Alfa and Bravo had the same number of products in the Blockbuster category. 2. Charlie had more products than Bravo but fewer products than Alfa in the No-hope category. 3. Each company had an equal number of products in the Promising category. 4. Charlie did not have any product in the Doubtful category, while Alfa had one product more than Bravo in this category. 5. Bravo had a ...

(CAT 2018) According to a coding scheme the sentence, Peacock is designated as the national bird of India is coded as 5688999 35 1135556678 56 458 13666689 1334 79 13366 This coding scheme has the following rules: 1. The scheme is case-insensitive (does not distinguish between upper case and lower case letters). 2. Each letter has a unique code which is a single digit from among 1,2,3,......,9. 3. The digit 9 codes two letters, and every other digit codes three letters. 4. The code for a word is constructed by arranging the digits corresponding to its letters in a non-decreasing sequence. Answer these questions on the basis of this information 1) What best can be concluded about the code for the letter L? 6 8 1 or 8 1 2) What best can be concluded about the code for the letter B? 1 or 3 or 4 1 3 3 or 4 3) For how many digits can the complete list of letters associated with that digit be identified? 2 1 0 3 4)  Which set of letters CANNOT be coded with the same digit? S , U , V X...

(CAT 2018) Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day: 1. 140 tickets were sold. 2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors. 3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold. 4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors. 1) If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold? 32 38 34 36 2) If the number of Old visitors buying Gold tickets was strictly greater tha...

Fun Sports Training Center 1) 4 2) C 3) 2 4) D Park Tickets 1) A 2) 0 3) 3 4) C Coding-Decoding 1) D 2) D 3) A 4) A Alfa, Bravo and Charlie 1) D 2) B 3) B 4) C SmartPhones 1) C 2) D 3) B 4) D Accredition 1) B 2) 3 3) 48 4) D Interview Panel 1) C 2) A 3) B 4) B Currency Exchange 1) 1200 2) D 3) 240 4) D

 (CAT 2018) Fun Sports (FS) provides training in three sports - Gilli-danda (G), Kho-Kho (K), and Ludo (L). Currently it has an enrollment of 39 students each of whom is enrolled in at least one of the three sports. The following details are known: 1. The number of students enrolled only in L is double the number of students enrolled in all the three sports. 2. There are a total of 17 students enrolled in G. 3. The number of students enrolled only in G is one less than the number of students enrolled only in L. 4. The number of students enrolled only in K is equal to the number of students who are enrolled in both K and L. 5. The maximum student enrollment is in L. 6. Ten students enrolled in G are also enrolled in at least one more sport. 1)   What is the minimum number of students enrolled in both G and L but not in K? 2)   If the numbers of students enrolled in K and L are in the ratio 19:22, then what is the number of students enrolled in L? 19 18 22 17 3)  Due t...

(CAT 2018) Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees: 1. The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee. 2. The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees. 3. 60% of the politicians are in the administration committee, and 20% are in the teaching committ...

(CAT 2018) Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students: 1. Three students are from X, three are from Y, and the remaining two students, both female, are from Z. 2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations. 3. Only one male student majors in Operations, while three female students minor in Marketing. 4. One female and two male students major in Finance. 5. Adriana and Deb are from the same institute. Daisy and Amit are from the same institute. 6. Barun is from Y and majors in Operations. Chetan is from X and majors in Finance. 7. Daisy minors in Operations. 1) Who are the students from the institute Z? C...

(CAT 2018) Fuel contamination levels at each of 20 petrol pumps P1, P2, …, P20 were recorded as either high, medium, or low. 1. Contamination levels at three pumps among P1 – P5 were recorded as high. 2. P6 was the only pump among P1 – P10 where the contamination level was recorded as low. 3. P7 and P8 were the only two consecutively numbered pumps where the same levels of contamination were recorded. 4. High contamination levels were not recorded at any of the pumps P16 – P20. 5. The number of pumps where high contamination levels were recorded was twice the number of pumps where low contamination levels were recorded. 1) Which of the following MUST be true? The contamination level at P12 was recorded as high. The contamination level at P20 was recorded as medium. The contamination level at P10 was recorded as high. The contamination level at P13 was recorded as low. 2)  What best can be said about the number of pumps at which the contamination levels were recorded as medium? Exa...

(CAT 2018) An ATM dispenses exactly Rs. 5000 per withdrawal using 100, 200 and 500 rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her. 1)   In how many different ways can the ATM serve a customer who gives 500 rupee notes as her preference? 2)   If the ATM could serve only 10 customers with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, what is the maximum number of customers among these 10 who could have given 500 rupee notes as their preferences? 3)   What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal? 13 10 12 16 4) ...