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Question 01

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

U
MC
Thank you mam
1. CAT 2018: Logical Reasoning uestion 1 Venkatesan S IIMB Alumnus

2. 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. 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. 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?

5. 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

6. 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

7. 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

8. 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

9. 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? 4 4 i) 16 ii) 25 iv) 4 4

10. 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 iii) 9 4 6 9 7 iv) 4

11. 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?

12. 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. 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 i) 13 ii) 16 iv) 10

13. 500 Amount 200 100 Total 3000 10??

14. 500 200 Total Amount 3000 3500 3500 4000 4000 4000 4000 4500 4500 100 10?? 5000 5000 5000 5000 5000 5000 5000

15. 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

16. 500 200 Total Amount 3000 3500 3500 4000 4000 4000 4000 4500 4500 100 10?? 5000 5000 5000 5000 5000 5000 5000

17. 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. 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 i) 13 ii) 16 iv) 10

18. 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

19. CAT 2018: Logical Reasoning Question 3 Venkatesan S IIMB Alumnus

20. 1) Who are the students from the institute Z? i) A and B i) B and C i) Cand D iv) A and D

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

22. 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

23. 3. Only 1 male student majors in Operations, while 3 female students minor in Marketing. 4. 1 female and 2 male students major in Finance. 5. A and H are from same institute, D and E are from same institute. 7. D minors in Operations. SL No Name Major Minor Name Major Minor Name Major Minor Mark Mark G Fin F Ops Fi B Ops H Fin 3 E Fin A Ops Mark

24. 1) Who are the students from the institute Z? i) A and B i) B and C i) Cand D iv) A and D

25. 3) Which subject does E major in? i Finance i) Marketing ii) Operations iv) CBD SL No Name Major Minor Name Major Minor Name Major Minor Mark Mark G Fin F Ops i B C Ops Fin E Fin A Ops Mark

26. CAT 2018: Logical Reasoning Question 4 Venkatesan S IIMB Alumnus

27. 1) Which of the following must be TRUE? i. The contamination level at P10 was recorded as high i . i. The contamination level at P12 was recorded as high iii. The contamination level at P13 was recorded as low. iv. The contamination level at P20 was recorded as medium

28. 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.

29. 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

30. 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. P1 P2 P3 P4 P5 P6 L P7 P8 P9 Y P10 X P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 0 L 2/3

31. 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. L 3 H-6 M-11 P1 P2 P3 P4 P5 P6 L P7 P8 P9 Y P10 X P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 H-8 M-8 0 L 2/3

32. 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. H-8 P1 H P2 P3 H P4 M P5 H P6 L P7 P8 P9 Y P10 X P11 Y P12 X P13Y P14 X P15 Y P16 Z P17 Y P18 Z P19 Y P20 Z L- Z M-Y 0 L 2/3

33. 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. i. Contamination levels at P10 and P14 were recorded as the same. ii. 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. H-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 0 - M-Y L 2/3 M 3/2 0