CAT 2017 – Slot 2 – Logical Reasoning and Data Interpretation – An old woman had the following assets

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.

Q.1 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. How much did Seeta receive in bank deposits (in lakhs of rupees)?
A) 30
B) 40
C) 20
D) 10
Q. 2: 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. How many flats did Neeta receive?

Q. 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 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

Q. 4: 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)?

Q1: Option (C)

Q2: 2

Q3: Option (B)

Q4: 20

Amount in Bank Deposits = 70 lakhs
Amount for 1 house = 50 lakhs
Amount for 1 flat = 30 lakhs
Amount for 3 flats = 90 lakhs
Number of gold coins = n
Amount in gold coins = n lakhs
Total Amount = 210 + n
House will go to only one person, 1 Flat will go to only one person and 1 Gold coin will go to one person
 
Q1) Assets were divided equally among the three and so were the gold coins.
Gold coins each daughter will receive = n/3
Total Amount with each person = (210 + n)/3
Total Amount with each person – Number of gold coins = 70
One child will get the house (worth Rs. 50 lakhs). Flat can’t be given to this child as it is worth 30 lakhs and limit will be exceeded.
So, the child will get 50 lakhs (House) + 20 lakhs (Bank Deposits)
Second child will get 2 Flats (60 lakhs) + 10 lakhs (Bank Deposits)
Third child will get 1 Flat (30 lakhs) + 40 lakhs (Bank Deposits)
Neeta gets the minimum amount of Bank Deposit, so 2nd child will be Neeta
Geeta gets the maximum amount of Bank Deposit, so 3rd child will be Geeta
Seeta will be the 1st child
So, Seeta got Rs. 20 lakhs as Bank Deposit.
Option (C)
 
Q2) We can get the answer to this question with the help of the first one. Neeta will get 2 flats
 
Q3) Total amount distributed by the old woman = Rs.70 lakh (bank deposits) + Rs.50 lakh (House) + Rs.90 lakhs (3 flats) i.e Rs.210 lakhs + Gold coins worth Rs.1 lakh each.
Ratio of distributed gold coins = 2 : 3 : 4,
Ratio of total assets distributed = 1:2:3
From both the ratios, we can see that
Seeta received 1/3 of the total property and 1/3 of the gold coins. This means her share is 1/3 (Bank deposits + house + flats) = Rs.70 lakhs.
Also, one child got all the three flats but not the house. One child other than Geeta got Rs.30 lakhs in bank deposits. From this we can conclude that Seeta cannot get all the three flats. As her share is Rs.70 lakhs + 1/3 (gold coins).
So, Seeta should receive one house and bank deposits of Rs.20 lakhs. This suggests that Neeta should get Rs.30 lakhs in bank deposits.
Therefore, Geeta should get Rs.20 lakhs in bank deposits. From this, all the three flats should be received by Geeta. Let the number of gold coins received by Neeta, Seeta and Geeta be 2x, 3x and 4x respectively.
From these we’ve. (30+2x)/(70+3x) = 1/2 => x = 10
So, number of gold coins must be 90.
Option (B)
 
Q4) Total amount distributed by the old woman = Rs.70 lakh (bank deposits) + Rs.50 lakh (House) + Rs.90 lakhs (3 flats) i.e Rs.210 lakhs + Gold coins worth Rs.1 lakh each
Ratio of distributed gold coins = 2 : 3 : 4,
Ratio of total assets distributed = 1:2:3
From both the ratios, we can see that
Seeta received 1/3 of the total property and 1/3 of the gold coins. This means her share is 1/3 (Bank deposits + house + flats) = Rs.70 lakhs.
Also, one child got all the three flats but not the house. One child other than Geeta got Rs.30 lakhs in bank deposits.
From this we can conclude that Seeta cannot get all the three flats. As her share is Rs.70 lakhs + 1/3 (gold coins).
So, Seeta should receive one house and bank deposits of Rs.20 lakhs. This implies Neeta should get Rs.30 lakhs in bank deposits. Hence Geeta should get Rs.20 lakhs in bank deposits.
Answer: 20
Checkout Other Questions of CAT 2017 Slot 2 Paper:

Verbal Ability :              |   Q.01- Q.06  |  Q.07- Q.12  |  Q.13- Q.18  |  Q.19- Q.21  |  Q.22- Q.24  |  Q.25- Q.29  |  Q.30 – Q.34  |

Logical Reasoning :    |   Q.01- Q.04 Q.05- Q.08  |  Q.09- Q.12  |  Q.13- Q.16  |  Q.17- Q.20 Q.21- Q.24  |  Q.25 – Q.28  |   Q.29 – Q.32  |

Quantitative Aptitude: |   Q.01- Q.05  |   Q.06- Q.10Q.11- Q.15  |  Q.16- Q.20  |  Q.21- Q.25  |   Q.26- Q.30  |  Q.31 – Q.34  |

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