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.

How much did Seeta receive in bank deposits (in lakhs of rupees)?

A) 30

B) 40

C) 20

D) 10

How many flats did Neeta receive?

How many gold coins did the old woman have?

A) 72

B) 90

C) 180

D) 216

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

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 â€“ Number of gold coins = 70

One child will get the house (worth Rs. 50 lakhs). Flat canâ€™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)

We can get the answer to this question with the help of the first one. Neeta will get 2 flats

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 weâ€™ve. (30+2x)/(70+3x) = 1/2 => x = 10

So, number of gold coins must be 90.

Option (B)

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

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.

Data Interpretation – Set 2: There were seven elective courses â€“ El to E7 â€“ running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven.

Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.

Data Interpretation – Set 4: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).

Data Interpretation – Set 5: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).

Data Interpretation – Set 6: A study to look at the early teaming of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (S).

Games and Tournaments for CAT 2017 Logical Reasoning â€“ Part 1

How to solve logical reasoning problems based on team selection and group formation?

Coded Inequality â€“ Tips and Tricks to Solve Questions in Logical Reasoning

How to solve Logical Reasoning questions based on Ranking and Ordering

Logical Reasoning Basics â€“ How to solve coin picking / matchstick related problems?

Basics of Data Interpretation â€“ Approximation

CAT Concepts â€“ Introduction to Data Sufficiency

Application of Quantitative Ability Concepts in Logical Reasoning Puzzles and Data Interpretation Sets

Cube Based Puzzles in Logical Reasoning for CAT Exam Preparation

How to prepare for LRDI

How to prepare for Logical Reasoning

How to Prepare for Data Interpretation

**a)** 1000+ Videos covering entire CAT syllabus**b)** 2 Live Classes (online) every week for doubt clarification**c)** Study Material & PDFs for practice and understanding**d)** 10 Mock Tests in the latest pattern**e)** Previous Year Questions solved on video