Question
Download Solution PDFComprehension
Direction: Read the following information carefully and answer the given questions:
There are nine people A, B, C, D, E, F, G, H and I who all live in different cities such as Mumbai, Kolkata, and Jaipur but not necessarily in the same order. Not more than three people live in the same city and at least two people live in the same city. A neither live in Mumbai nor in Kolkata. D and G are friends but live in different cities but none of them lives in Jaipur. Either H or F lives in Kolkata. B and G live in the same city but it's not Mumbai. D, E and I are friends and the two of them live in the same city. E and H live in the same city but not Mumbai.
Which of the following group will live in Kolkata?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThere are 9 people: A, B, C, D, E, F, G, H and I
Three different cities: Mumbai, Kolkata, and Jaipur
1). A neither lives in Mumbai or Kolkata.
With this statement, We know A will live in Jaipur.
2). D and G are friends but live in different cities but none of them lives in Jaipur.
D and G will live in the same city but none of them lives in Jaipur means either they will live in Mumbai or Kolkata.
|
City |
Name of person |
|
|
Case I |
Case II |
|
|
Jaipur |
A |
A |
|
Mumbai |
D |
G |
|
Kolkata |
G |
D |
3). Either H or F lives in Kolkata.
4). B and G live in the same city but it's not Mumbai.
As we know G will live in Mumbai or Kolkata but with this statement, We know G will not live in Mumbai so she will live in Kolkata.
Here Case II eliminates as G will not live in Mumbai and case I Split into one more Case I.I
|
City |
Name of Person |
|
|
|
Case I |
Case I.I |
|
Jaipur |
A |
A |
|
Mumbai |
D |
D |
|
Kolkata |
G, H, B |
G, F, B |
5). I, E and D are friends and the two of them live in the same city.
We already know that D lives in Mumbai so either E or I live in Mumbai.
6). E and H live in the same city but not Mumbai.
Here, Case I.I eliminate as E does not live in Mumbai, E and H live in the same city, and there is no place in Kolkata.
So, E and H live in Jaipur.
As C is left so she will live in Mumbai and Since E lives in Jaipur so I will live in Mumbai.
So, The final arrangement is:
| City |
Name of person |
|
Jaipur |
A, E, H |
|
Mumbai |
C, D, I |
|
Kolkata |
B, G, F |
B, G and F live in Kolkata.
Mistake Points Kindly read the statement carefully, " I, E and D are friends and the two of them live in the same city." In solution, I and D both are living in the same city.
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