CAT Exam > CAT Questions > An old woman had the following assets:(a) Rs....
Start Learning for Free
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.
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
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
An old woman had the following assets:(a) Rs. 70 lakh in bank deposits...
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) = ½
=> x = 10
So, number of gold coins must be 90.
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) = ½
=> x = 10
So, number of gold coins must be 90.
Most Upvoted Answer
An old woman had the following assets:(a) Rs. 70 lakh in bank deposits...
Given Information:
An old woman has 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
The assets are to be distributed among her three children; Neeta, Seeta, and Geeta. The distribution should be such that the value of the assets distributed among the three children is in the ratio of 1:2:3. The gold coins are to be distributed among the children in the ratio of 2:3:4. One child gets all three flats, and she does not get the house. One child, other than Geeta, gets Rs. 30 lakh in bank deposits.
Solution:
Let's solve the problem step by step:
Step 1: Distributing the bank deposits:
One child, other than Geeta, gets Rs. 30 lakh in bank deposits.
Let's assume that Seeta gets Rs. 30 lakh in bank deposits.
Step 2: Distributing the house and flats:
One child gets all three flats, and she does not get the house.
Since Neeta gets all three flats, she cannot get the house. Therefore, the house goes to Geeta.
Step 3: Calculating the value of the house and flats:
The house is worth Rs. 50 lakh, and each flat is worth Rs. 30 lakh.
So, the total value of the house and flats is 50 + (3 * 30) = Rs. 140 lakh.
Step 4: Calculating the ratio of the remaining assets:
The remaining assets are the bank deposits (Rs. 40 lakh) and the gold coins.
The remaining ratio of the assets is 2:3:4 (from the distribution of gold coins).
Step 5: Calculating the value of the gold coins:
The total value of the remaining assets (bank deposits and gold coins) is Rs. 40 lakh + value of gold coins.
Let's assume the value of each gold coin is Rs. x lakh.
According to the given ratio, the value of the gold coins for Neeta, Seeta, and Geeta is 2x, 3x, and 4x lakh, respectively.
So, the total value of the gold coins is 2x + 3x + 4x = 9x lakh.
Step 6: Calculating the value of each gold coin:
We know that the total value of the remaining assets is Rs. 40 lakh + value of gold coins.
Therefore, 40 + 9x = 140.
Simplifying the equation, we get:
9x = 100
x = 100/9
Therefore, the value of each gold coin is 100/9 lakh.
Step 7: Calculating the total number of gold coins:
The old woman had Rs. 70 lakh in bank deposits and Rs. 140 lakh worth of house and flats.
Therefore, the total value of her assets is 70 + 140 = Rs. 210 lakh.
The value of each gold coin is 100/9 lakh.
So,
An old woman has 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
The assets are to be distributed among her three children; Neeta, Seeta, and Geeta. The distribution should be such that the value of the assets distributed among the three children is in the ratio of 1:2:3. The gold coins are to be distributed among the children in the ratio of 2:3:4. One child gets all three flats, and she does not get the house. One child, other than Geeta, gets Rs. 30 lakh in bank deposits.
Solution:
Let's solve the problem step by step:
Step 1: Distributing the bank deposits:
One child, other than Geeta, gets Rs. 30 lakh in bank deposits.
Let's assume that Seeta gets Rs. 30 lakh in bank deposits.
Step 2: Distributing the house and flats:
One child gets all three flats, and she does not get the house.
Since Neeta gets all three flats, she cannot get the house. Therefore, the house goes to Geeta.
Step 3: Calculating the value of the house and flats:
The house is worth Rs. 50 lakh, and each flat is worth Rs. 30 lakh.
So, the total value of the house and flats is 50 + (3 * 30) = Rs. 140 lakh.
Step 4: Calculating the ratio of the remaining assets:
The remaining assets are the bank deposits (Rs. 40 lakh) and the gold coins.
The remaining ratio of the assets is 2:3:4 (from the distribution of gold coins).
Step 5: Calculating the value of the gold coins:
The total value of the remaining assets (bank deposits and gold coins) is Rs. 40 lakh + value of gold coins.
Let's assume the value of each gold coin is Rs. x lakh.
According to the given ratio, the value of the gold coins for Neeta, Seeta, and Geeta is 2x, 3x, and 4x lakh, respectively.
So, the total value of the gold coins is 2x + 3x + 4x = 9x lakh.
Step 6: Calculating the value of each gold coin:
We know that the total value of the remaining assets is Rs. 40 lakh + value of gold coins.
Therefore, 40 + 9x = 140.
Simplifying the equation, we get:
9x = 100
x = 100/9
Therefore, the value of each gold coin is 100/9 lakh.
Step 7: Calculating the total number of gold coins:
The old woman had Rs. 70 lakh in bank deposits and Rs. 140 lakh worth of house and flats.
Therefore, the total value of her assets is 70 + 140 = Rs. 210 lakh.
The value of each gold coin is 100/9 lakh.
So,
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer?
Question Description
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.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)72b)90c)180d)216Correct answer is option 'B'. 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.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)72b)90c)180d)216Correct answer is option 'B'. 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer?.
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.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)72b)90c)180d)216Correct answer is option 'B'. 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.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)72b)90c)180d)216Correct answer is option 'B'. 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer?.
Solutions 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer?, a detailed solution 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.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)72b)90c)180d)216Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup