CAT Logical Reasoning

An old woman had the following assets:

  1. Rs. 70 lakh in bank deposits
  2. 1 house worth Rs. 50 lakh
  3. 3 flats, each worth Rs. 30 lakh
  4. 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.

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)?

  1. 30
  2. 40
  3. 20
  4. 10

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?

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?

  1. 72
  2. 90
  3. 180
  4. 216

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)?

Answers

  1. C
  2. 2
  3. B
  4. 20

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.

Given that Neeta received the least amount and Geeta received the highest amount in bank deposits. Given, all assets are equally distributed. Hence, each one should get Rs.70 lakh. Neeta should get 2 flats (Rs.60 lakh), Seetha should get the house and Geeta should get 1 flat (Rs.30 lakh).

1. The bank deposits received by the three are Rs.10 lakh, Rs.20 lakh and Rs.40 lakh respectively.

2. Neeta should get 2 flats (Rs.60 lakh), Seetha should get the house and Geeta should get 1 flat (Rs.30 lakh).

3. From the given data, the gold coins were distributed in the ratio 2 : 3 : 4, and the total assets were distributed in the ratio 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). 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. 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.

(30+2x)/(70+3x) = 1/2

x = 10

Number of gold coins must be 90.

4. From the given data, the gold coins were distributed in the ratio 2 : 3 : 4, and the total assets were distributed in the ratio 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).

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.