# XAT 2016 Preparation series.

*Considered as one of the toughest entrance exams for MBA students , we are running a series under XAT 2016 preparation. With the new pattern changes that have taken place this year, it would be beneficial for you to go through these past year XAT actual questions.We have segregated questions and solutions section wise so that you get a fair idea of the difficulty level of the papers over the previous years, as well as the differential marking scheme for each question. The articles will contain 360+ actual XAT questions.* *You can browse through the posts here.*

1. In the country of Four, there are four cities. A, B, C and D. B is to the East of A, C is to the south of B, D is to the West of C, and A is to the North of D. The Government of Four is planning to connect these four cities by road such that it is possible for a person to go from a city to any of the other three cities. At the same time, the Government wants to ensure that the total road length is minimum. The distances between A to B, B to C, C to D and D to A are all equal to 10 km. What should be the total length of the road?

A. 26.64 km

B. 27.32 km

C. 28.30 km

D. 30 km

E. 36 km

2. Please read the following sentences carefully.

1.103 and 7 are the only prime factors of 1000027

2. ^{6}√6! > ^{7}√7!

3. If I travel one half of my journey at an average speed of x km/h, it will be impossible for me to attain an average speed of 2x km/h for the entire journey.

A. All the statement are correct

B. Only Statement II is correct

C. Only statement III is correct

D. Both statements I and II are correct

E. Both statement I and III are correct

3. The figure below shows the graph of a function f(x). How many solutions does the equation f(f(x)) = 15 have?

A.5

B.6

C.7

D.8

E.Cannot be determined from the given graph

Answer question nos. 4 – 6 based on the following information:Analyse the railway train chart below:

4. Which is the fastest train between HHH and NNN?

A. 1111

B. 2222

C. 4444

D. 7777

E. 9999

5. Which is the fastest train between AAA and NNN?

A. 8800

B. 8888

C. 6666

D. 4444

E. 3333

6. If you have to travel from AAA and reach HHH around 9.00 AM and then further travel to NNN at around 6.00PM, which is the best combination of trains for you?

A. 1111 and 8800

B. 1111 and 9900

C. 8888 and 7777

D. 8888 and 8800

E. 8888 and 9900

Answer question nos. 7 – 9 based on the following information:

Data on an ongoing football league of a country is given below. 20 teams are playing in the league. The rules of the league are as follows:

1. Each Team plays all the other teams twice, once in home ground and once in the opponent’s home These matches are known as the “Home” Match and the “Away” Matches respectively

2. A win results in 3 points, a draw in 1 point, and a loss in 0 point for the team

3. The number of goals a team scores is termed as “Goals For” and the number of goals it concedes is termed as “Goals Against”. We get the “Goals Difference” by subtracting “Goals Against” from “Goals for”

The ranking of the team is decided on the total points. If two teams are tied on their total points the teams which has the higher Goal Difference gets the higher rank. If the tie cannot be resolved on Goal Difference, Goals For is checked followed by Goals Against. If the tie persists, the teams are ranked in the ascending order of their names Table 1 provides data on the current top 13 teams bases on the overall situation, i.e. by taking into account both home matches and away matches of each team

Table 2 provides data on the current top 13 teams based on home matches only.

Chart 1 provides a plot of the goal difference of each of the 13 teams based on the overall situation

7. Considering the away matches only, which of the following is the second ranked team?

A. AS

B. CH

C. WG

D. SW

E. WB

8.Considering away matches only, the least number of teams with either 0 or 1 points is

A. 2

B. 3

C. 4

D. 5

E. 6

9. Let us define a term *pos* as the difference between “home rank” and “away rank”. Which of the following has the maximum value of *pos*?

A. AS

B. WB

C. WH

D. MC

E. SW

10. How many unique values of goal difference are there for away matches?

A. 5

B. 6

C. > 6

D. > 6 and < 13

E. > 6 and < 14

Answers –

1. B

2. C

3. C

4. D

5. A

6. E

7. D

8. D

9. A

10. B