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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.
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
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An old woman had the following assets:(a) Rs. 70 lakh in bank deposits...
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.
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Most Upvoted Answer
An old woman had the following assets:(a) Rs. 70 lakh in bank deposits...
Given information:
- Rs. 70 lakh in bank deposits
- 1 house worth Rs. 50 lakh
- 3 flats, each worth Rs. 30 lakh
- Certain number of gold coins, each worth Rs. 1 lakh

Restrictions:
- The house, any of the flats, or any of the coins were not to be split.
- The house went entirely to one child, a flat went to one child and similarly, a gold coin went to one child.
- The value of the assets was distributed equally among the children, as were the gold coins.
- Among the three, Neeta received the least amount in bank deposits, while Geeta received the highest.

To distribute the assets equally, each child would get:
(70 + 50 + 30 + 30 + 30 + x)/3 = (210 + x)/3, where x is the number of gold coins.

Since the gold coins have to be split equally among the three children, x must be a multiple of 3. Let x = 3n.

Substituting x = 3n in the above equation, we get:
(210 + 3n)/3 = 70 + n

Geeta received the highest amount, so she got the house worth Rs. 50 lakhs and a flat worth Rs. 30 lakhs, which is a total of Rs. 80 lakhs.

Neeta received the least amount in bank deposits, so she got only Rs. 70 lakhs in bank deposits.

The remaining flat worth Rs. 30 lakhs and (3n/3) = n gold coins were given to Seeta.

Therefore, Seeta received Rs. 20 lakhs in bank deposits (as each child received an equal amount of assets).
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Community Answer
An old woman had the following assets:(a) Rs. 70 lakh in bank deposits...
Firstly keep gold coins aside as it will not be needed in calculation. Now, total Assets in terms of money will be : 70+50+3*30=210 lakhs which has to be distributed among 3 children equally that means each will get assets worth 210/3= 70 lakhs , now if neeta received least in bank deposits that means she has got the biggest of indivisible asset that is 3 flats(say) worth 90 lakhs and as geeta received most in bank deposits means that she has got least of assets that is the house(say) worth 50 lakhs so seeta has to have assets worth 70 lakhs ; now difference between them successively is 20 lakhs which has to be filled using coins and this will also define the bank deposits of seeta. Thus the answer is C.
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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 lakhShe 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 childQ.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)30b)40c)20d)10Correct answer is option 'C'. Can you explain this answer?
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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 lakhShe 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 childQ.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)30b)40c)20d)10Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 lakhShe 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 childQ.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)30b)40c)20d)10Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 lakhShe 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 childQ.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)30b)40c)20d)10Correct answer is option 'C'. Can you explain this answer?.
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