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Data Interpretation Question: Part 03
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Asset Distribution

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

U
thank you sir you are teaching very conceptually I liked your examples like that hexagon packing created by honey and etc
1. CAT 2017: Data Interpretation Question 3 Venkatesan IIMB Alumnus

2. 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.

3. 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.

4. How much did Seeta receive in bank deposits (in lakhs of rupees)? A) 30 B) 40 C) 20 D) 10

5. How many flats did Neeta receive? A) 2 B) 3 C) 1 D) Cannot be Determined

6. 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 and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. How many gold coins did the old woman have? A) 72 B) 90 C) 180 D) 216

7. 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 and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. How much did Geeta get in bank deposits (in lakhs of rupees)? A) 20 B) 30 C) 40 D) Cannot be determined

8. 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 Asset Bank Deposit House Flat (3 nos) Gold coins Total Per share Value 70 50 30/ flat 211 70.33

9. 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 Asset Bank Deposit House Flat (3 nos) Gold coins Total Per share Value 70 50 30/ flat 211 70.33 House & Flats Bank Deposit Gold Coirn Share 1 50 House 20 .33 Share 2 30 Flat 40 .33 Share 3 60 Flats 10 .33

10. 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 House & Flats Bank Deposit Gold Coin Seeta 50 House 20 .33 Geeta 30 Flat 40 .33 Neeta 60 Flats 10 .33

11. How much did Seeta receive in bank deposits (in lakhs of rupees)? A) 30 B) 40 C) 20 D) 10

12. How much did Seeta receive in bank deposits (in lakhs of rupees)? A) 30 B) 40 C) 20 D) 10 House & Flats Bank Deposit Gold Coin Seeta 50 House 20 .33 Geeta 30 Flat 40 .33 Neeta 60 Flats 10 .33

13. How many flats did Neeta receive? A) 2 B) 3 C) 1 D) Cannot be Determined House & Flats Bank Deposit Gold Coin Seeta 50 House 20 .33 Geeta 30 Flat 40 .33 Neeta 60 Flats 10 .33

14. 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 and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits. How many gold coins did the old woman have? A) 72 B) 90 C) 180 D) 216 Geeta 90-3 flats 20 Neeta House & Flats Bank Deposit Gold Coin Seeta 50 1 house 20 (30 + 2x) (70+3x) 60+ 4x 70 3x X 10 Total Coins 90 30 110 70 30

15. How much did Geeta get in bank deposits (in lakhs of rupees)? A) 20 B) 30 C) 40 D) Cannot be determined

16. Further, the following are known: 1. Odd-numbered dorms do not need light repair; even-numbered dorms do not need moderate repair and dorms, whose numbers are divisible by 3, do not need extensive repair. 2. Dorms 4 to 9 all need different repair costs, with Dorm 7 needing the maximum and Dorm 8 needing the minimum Which of the following is NOT necessarily true? A) Dorm 1 needs a moderate repair B) Dorm 5 repair will cost no more than Rs. 4 Crores C) Dorm 7 needs an extensive repair D) Dorm 10 repair will cost no more than Rs. 4 Crores

17. Question No.:14 What is the total cost of repairing the odd-numbered dorms (in Rs. Crores)? A) 19 B) C) D)

18. Question No.: 1!5 Suppose further that: 1. 4 of the 10 dorms needing repair are women's dorms and need a total of Rs. 20 Crores for repair 2. Only one of Dorms 1 to 5 is a women's dorm. What is the cost for repairing Dorm 9 (in Rs. Crores)? A) 3 B) C) D)

19. 5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam. What was the second highest rating given? A)7B)C)D)

20. Question No.: 18 A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below: 1. Cup 6 contained tea from Himachal 2. Tea from Ooty got the highest rating, but it was not in Cup 3. 3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5. 4. Only two cups got ratings in even numbers.

21. 5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1. 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam. What was the number of the cup that contained tea from Ooty? A) 4 B) C) D)

22. 5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad? A) 3 B) 5 C) 1 D) 6

23. Question No.: 200 A tea taster was assigned to rate teas from six different locations - Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order. The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea. Some other information is given below: 1. Cup 6 contained tea from Himachal 2. Tea from Ooty got the highest rating, but it was not in Cup 3. 3. The rating of tea in Cup 3 was double the rating of the tea in Cup 5 4. Only two cups got ratings in even numbers

24. 5. Cup 2 got the minimum rating and this rating was an even number. 6. Tea in Cup 3 got a higher rating than that in Cup 1. 7. The rating of tea from Wayanad was more than the rating of tea from Munnar, but less than that from Assam. If cups containing teas from Wayanad and Ooty had consecutive numbers, which of the following statements may be true? A) Cup 5 contains tea from Assam B) Cup 1 contains tea from Darjeeling C) Tea from Wayanad has got a rating of 6 D) Tea from Darjeeling got the minimum rating

25. Question No.: 211 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 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. A) 2 B) 3 C) 4 D) 5

26. Question No.: 244 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 Suppose the queen is the only piece on the board and it is at position d5. In how many positions can another piece be placed on the board such that it is safe from attack from the queen? A) 32 B) 35 C) 36 D) 37

27. Question No. : 25 Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row

28. Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge. The following are known: 1. The eight friends were seated in six different rows. 2. They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat. 3. Seven of them had to pay extra amounts, totaling to Rs. 4600, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat. 4. Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero. 5. Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta. 6. Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.

29. How much extra did Jayanta pay for his choice of seat? A) Rs. 300 B) Rs. 400 C) Rs. 500 D) Rs. 1000

30. Question No.: 27 Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row