Instructions

Study the followin information carefully and answer the questions.

Four houses Blue, Green, Red and Yellow are located in a row in the given order. Each of the houses is occupied by a person earning a fixed amount of a salary. The four persons are Paul, Krishna, Laxman, and Som.

Read the following instruction carefully:
I. Paul lives between Som and Krishna
II. Laxman does not stay in Blue house
III. The person living in Red house earns more than that of person living in Blue
IV. Salary of Som is more than that of Paul but lesser than that of Krishna
V. One of the person earns Rs. 80, 000
VI. The person earning Rs. 110,000 is not Laxman
VII. The salary difference between Laxman and Son is Rs. 30,000
VIII. The House in which Krishna lives is located between houses with persons earning salaries of Rs. 30,000 and Rs. 50,000
IX. Krishna does not live in Yellow house, and the person living in yellow house is not earning lowest salary among the four persons.

Question 20

Who lives in Red house?

Solution

The first point tells us that "Paul lives between Som and Krishna".
This gives us an initial thought that these three can occupy the houses 1, 2, 3 in the row with Paul occupying the 2nd house and Som and Krishna sharing houses 1 and 3 in no particular order. In this case Laxman has to occupy the 4th house, i.e. the Yellow house. OR they can occupy the houses 2,3,4 with Paul occupying the 3rd house and Som and Krishna sharing houses 2 and 4 in no particular order. In this case Laxman has to occupy the 1st house, i.e. the Blue house.
However, since we know from point (II) that Laxman does not stay in the Blue house we reject this possibility.
Consequently, we can fix the position of Paul and Laxman in the Green and Yellow houses respectively.

At this point if we use point (VIII), we see that since ԋrishna lives in between two houses he cannot be in the first house. Hence, Krishna takes the third house and Som takes the 1st one.

Thus, the grid converts to:

From this point we need to focus on fixing the values of the salaries of the 4 individuals.
The values of the four salaries can first be identified as 30000, 50000 (from point VIII), 80000 ( point ) and 110000 (point VI). We also know from Point VIII that Krishna lives between the people
earning 30000 and 50000 which means that 30000 and 50000 could be Laxman and Paul's salary.
Further, the salary difference between Laxman and Som being 30000, their salaries would have to be 50000 and 80000, with Laxman getting 50000 and Som getting 80000. Consequently Paul gets 30000 and Krishna would earn 110000. The solution grid would then look like below: