CAT 2018: Logical Reasoning Course Overview Venkatesan S IIMB Alumnus

Who am I? e Venkatesan S e MBA IIM Bangalore B.E. -College of Engineering Guindy Cleared CAT in 2015 - First Attempt Received calls from all IMs and converted. e Educator since April 2018

What are all my other Courses? Time, Speed & Distance, Time & Work, * Averages, Mixtures & Alligations, Logical Reasoning. Data Interpretation, * What to expect from B-Schools, e Percentages, e Many Strategy Lessons

Course Overview 8 Questions. Slot 1-4 questions Difficulty - Moderate Distributions Arrangements Slot 2-4 questions Difficulty Level Moderate Set Theory Arrangements Dummy Coding

CAT 2018: Logical Reasoning uestion 1 Venkatesan S IIMB Alumnus

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it.

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 1) What is the minimum number of different numerals needed to fill 3 X 3 square matrix?

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 2) What is the minimum number of different numerals needed to fill a 5X5 square matrix?

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 3) Suppose you are allowed to make one mistake, that is, one pair of adjacent cells can have the same numeral. What is the minimum number of different numerals required to fill a 5X5 matrix? i) 16 ii) 25 iv) 4

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 4) Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5X5 square matrix? i) 25 i) 16 ii)9 iv) 4

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 1) What is the minimum number of different numerals needed to fill 3 X 3 square matrix? -4 4 1

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 2) What is the minimum number of different numerals needed to fill a 5X5 square matrix? -4 4 4 4

You are given an nXn square matrix to be filled with numerals so that no to adjacent cells have same numeral. Two cells are called adjacent if they touch each other horizontally, vertically or diagonally. So a cell in one of the four corners has 3 cells adjacent to it, and a cell in the first or last row or column which is not in the corner has five cells adjacent to it. Any other cell has eight cells adjacent to it. 4) Suppose that all the cells adjacent to any particular cell must have different numerals. What is the minimum number of different numerals needed to fill a 5X5 square matrix? i) 25 4 i) 16 iii) 9 7 9 iv) 4

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. 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. 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?

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. 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?-7

500 Amount 200 100 Total 3000 10??

500 200 Total Amount 3000 3500 3500 100 10?? 5000 5000

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. 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. 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? -6

500 200 100 Total Amount 3000 3500 3500 4000 4000 4000 4000 4500 4500 10?? 5000 5000 5000 5000 5000 4 4 8?? 5000 5000 Total no of 500 notes from above calculation 56

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. It then dispenses notes such that the number of notes of the customer's her. preferred denomination exceeds the total number of notes of other denominations dispensed to 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? i) 12 ii) 13 ii) 16 iv) 10 4 100 # Notes 18 20 20 21 500 200 Amount 5000 5000 5000 5000 4 10 14 16

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. 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. 4) What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible? i) 750 i) 800 i) 900 iv) 1000

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. 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. 4) What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible? i) 750 ii) 800 i) 900 iv) 1000

A, B, C and D are four female students and E, F, G and H are four male students. Each of them studies in one of three institutes X, Y and Z. Each student maiors in one subiect 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. 3 students are from X, 3 are from Y and the remaining, both female, are from Z 2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations Only 1 male student majors in Operations, while 3 female students minor in Marketing. 1 female and 2 male students major in Finance. A and H are from same institute, D and E are from same institute. F is from Y and majors in Operations. G is from X and majors in Finance. D minors in Operations. 3. 4. 5. 6. 7.

2) Which subject did H minor in? i) Finance i) Marketing ii) Operations iv) CBD

A, B, C and D are four female students and E, F, G and H are four male students. Each of them studies in one of three institutes X, Y and Z. Each student maiors in one subiect 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. 3 students are from X, 3 are from Y and the remaning, both female, are fromZ 2. Both the male students from Y minor in Finance, while the female student from Y majors in Operations Only 1 male student majors in Operations, while 3 female students minor in Marketing. 1 female and 2 male students major in Finance. A and H are from same institute, D and E are from same institute. F is from Y and majors in Operations. G is from X and majors in Finance. D minors in Operations. 3. 4. 5. 6. 7.

A, B, C and D are four female students and E, F, G and H 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. SL No Name Major Minor Name Major Minor Name Major Minor

1. 3 students are from X, 3 are from Y and the remaining, both female, are from Z Both the male students from Y minor in Finance, while the female student from Y majors in Operations 2. 3. Only 1 male student majors in Operations, while 3 female students minor in Marketing. SL No Name Major Minor Name Major Minor Name Major Minor Male Male Fem Ops Fin Fem 2 Fin Fem

1) Who are the students from the institute Z? i) A andB i) B and C ii) Cand D iv) A and D SL No Name Major Minor Name Major Minor Name Major Minor Mark Fin Ops Fin Fin Mark Ops Fin Ops Mark

3) Which subject does E major in? i) Finance i) Marketing ii) Operations iv) CBD

4) If C majors in Finance, which subject does B major in? i) Finance i) Marketing ii) Operations iv) CBD

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

2) What best can be said about the number of pumps at which the contamination levels were recorded as medium? i. More than 4 ii. Atmost 9 i Exactly 8 iv. Atleast 8

4) If contamination level at P15 was recorded as medium, then which of the following MUST be FALSE? i. Contamination levels at P11 and P16 were recorded as the same. ii. Contamination levels at P10 and P14 were recorded as the same. iii. Contamination levels at P13 and P17 were recorded as the same. iv. Contamination level at P14 was recorded to be higher than that at P15.

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

Fuel contamination levels at each of 20 petrol pumps P1, P2,.., P20 were recorded as either high, medium or low P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20

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 P1 P2 P3 P4 P5 P6 L P7 P8 P9 Y P10 X P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 0

2) What best can be said about the number of pumps at which the contamination levels were recorded as medium? i. More than 4 ii. Atmost 9 iii. Exactly 8 iv. Atleast 8 P1 H P2 P3 P4 P5 H P6 L P7 X P8 X P9Y P10 X P11 Y P12 X P13 Y P14 X P15 Y P16 Z P17 Y P18 Z P19 Y P20 Z H- X M-Y 1/3 L 2/3 M 3/2 0

3) If the contamination level at P11 was recorded as low, then which of the following MUST be TRUE? i. The contamination level at P18 was recorded as low. ii. The contamination level at P12 was recorded as high iii. The contamination level at P14 was recorded as medium. iv. The contamination level at P15 was recorded as medium

3) If the contamination level at P11 was recorded as low, then which of the following MUST be TRUE? i. The contamination level at P18 was recorded as low ii. The contamination level at P12 was recorded as high. iii. The contamination level at P14 was recorded as medium. iv. The contamination level at P15 was recorded as medium H-8 P1 H P2 P3 P4 P5 H P6 L P8 X P9Y P10 X P11 Y P12 X P13 Y P14 X P15 Y P16 Z P17 Y P18 Z P19 Y P20 Z - M-Y 1/3 L 2/3 M 3/2 0

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.

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Venkatesan S

IIM Bangalore Alumni | Cleared CAT 2015 | Cleared IIM B, C, L, K & I

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Swabhiman Patel

7 months ago

Thanks a lot sir. The lecture was interesting :)

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