IIFT 2009 Question Paper

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:

Red house is occupied by person earning highest salary

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:

Rs. 30,000 is earned by person living in green house .

We can draw a direction diagram according to the problem statement. 

Net displacement in the east direction = 26 + 19 - 40 = 5 km. 

Net displacement in the north direction = 30 - 8 - 10 = 12 km. 

Hence, net distance from the starting point = $$\sqrt{12^2+5^2}$$ = 13 km.

Therefore, option C is the correct answer. 

In the first car - Raju's father, grandmother, mother and maternal grandfather - 4 members
In the second car - Raju's brother, sister-in-law, and brother-in-law - 3 members
In the third car - Raju, Raju's wife, sister-in-law, brother-in-law, daughter-in-law, grandson - 6 members

Total = (4 + 3 + 6) = 13

Members not present - Raju's sister, sister-in-law's husband, brother-in-law's wife, son - 4 members.

Hence, option A is the correct answer.

Let 'a' be the number of cards with B. If A gives five cards to ‘B’ then ‘B’ will have as many cards as ‘D’. 

Hence, the number of cards with D = 'a+5'.

B has four cards more than what C has. Hence, the number of cards with c = 'a-4'.

Let us assume that number of cards with A = 'x'. It is given that if ‘B’ gives 'A' five cards the A will have as many cards as ‘E’ has.

Hence, the number of cards with 'E' = x+5.

It is also given that A and B together has 20 cards more than what D and E have together.

Hence, (a+x) - (a+5+x+5) = 20.

Data given in the question contradicts with th information. Hence, this question can't be answer. Therefore, option D is the correct answer. 

According to the given information we can classify the working of instructors as :-

Music Instructor works from 12-4 pm on - Monday, Thursday and Sunday.

Dance Instructor works from 10 am-2 pm on - Tuesday, Wednesday, Thursday and Sunday

Painting Instructor works from -9 am - 12 noon on - Tuesday,  Thursday and Friday

                                               2 - 4 pm on - Wednesday, Saturday and Sunday

After this classification it is clear that Tuesday and Thursday are the days of the week the dance and painting sessions are simultaneously held.

Abhijit's revised minimum pay will be Rs. $$37400$$ and his grade pay will be Rs. $$10000$$. 

Abhijit already had 2 increments and by 2009 will have 3 more. Thus, a total of 5 increments.

Thus his salary in 2009 = $$(37400+10000)\times (1.03)^5=54949.6\approx 54950$$

Hence, the answer is option C.

The new basic pay would have been = $$(15600+5400)(1.03)^4=23636$$

Due to the error, the pay is = $$15600+5400=21000$$

DA + HRA = $$28\% + 30\% = 58\%$$ of the basic pay

Thus, total loss in pay = $$1.58\times (23636-21000)=4164$$

Hence, the answer is option C.