Logic

(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) ...

(CAT 2017)  In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece. The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in cth column and 5th row. 1) If the queen is at c5, and the other pieces at positions c2, gl, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.  2 3 4 5 2)  If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack? f8 a7 c1 d3 3)  If the other pieces are only at positions al, a3, b4, d7, h7 and ...

 (CAT 2017) An old woman had the following assets: (a) Rs. 70 lakh in bank deposits (b) 1 house worth Rs. 50 lakh (c) 3 flats, each worth Rs. 30 lakh (d) Certain number of gold coins , each worth Rs. 1 lakh She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta. The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child. Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest. The value of the assets was distributed equally among the children, as were the gold coins. 1) How much did Seeta receive in bank deposits (in lakhs of rupees)? 30 40 20 10 2) How many flats did Neeta receive? 3)  The value of the assets distributed among Neeta, Seeta and Geeta was in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats...

 (CAT 2017) Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET). The test has three sections: Physics (P), Chemistry (C), and Maths (M). Among those appearing for CET, those at or above the 80th percentile in at least two sections, and at or above the 90th percentile overall, are selected for Advanced Entrance Test (AET) conducted by AIE. AET is used by AIE for final selection. For the 200 candidates who are at or above the 90th percentile overall based on CET, the following are known about their performance in CET: 1.No one is below the 80th percentile in all 3 sections. 2.150 are at or above the 80th percentile in exactly two sections. 3.The number of candidates at or above the 80th percentile only in P is the same as the number of candidates at or above the 80th percentile only in C. The same is the number of candidates at or above the 80th percentile only in M. 4.N...