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.

Answer question nos. 1 – 3 based on the following information:

Given below are data points on the India economy from 2005 – 2010:

*Per capita GDP is arrived by dividing GDP by population.

1.What is the ratio of the current account balance in 2010 to current account balance?

A.0.35
B.4.56
C.5.01
D.2.57
E.5.30

2.Read the statements given below:

1.Exports were more than imports in 2006
2.Imports were more than exports in 2009
3.Export increased at faster rate than imports during period 2005 to 2010

Which of the statements is necessarily true?

A.1 and 2
B.1, 2 and 3
C.3 only
D.2 only
E.1 only

3.What was the approximate number of unemployed persons in 2006?

A.100 million
B.102  million
C.98 million
D.105 million
E.104  million

4.x, 17, 3x – y² – 2, and 3x + y² – 30, are four consecutive terms of an increasing arithmetic sequence.The sum of the four numbers is divisible by:

A.2
B.3
C.5
D.7
E.11

5.In quadrilateral PQRS, PQ = 5 units, QR = 17 units, RS = 5 units, and PS = 9 units. The length of the diagonal QS can be:

A.> 10 and < 12
B.> 12 and < 14
C.> 14 and < 16
D.> 16 and <18
E.cannot be determined

6.The sum of the possible values of X in the equation |X + 7| + |X – 8| = 16 is:

A.0
B.1
C.2
D.3
E.None of the above

7.There are two windows on the wall of a building that need repairs. A ladder 30 m long is placed against a wall such that it just reaches the first window which is 26 m high. The foot of the ladder is at point A. After the first window is fixed, the foot of the ladder is pushed backwards to point B so that the ladder can reach the second window. The angle made by the ladder with the ground is reduced by half, as a result of pushing the ladder. The distance between points A and B is

A. < 9 m
B. ≥ 9 m and < 9.5 m
C. ≥ 9.5 m and < 10 m
D. ≥ 10 m and < 10.5 m
E . ≥ 10.5 m

8. Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sash Each time Sashi gets a number from Amitabh, he adds 50 to the number, and gives the result back to Amitabh, who doubles the number again. The first person, whose result is more than 1000, loses the game. Let ‘x’ be the smallest initial number that results in a win for Amitabh. The sum of the digits of ‘x’ is:

A.3
B.5
C.7
D.9
E.None of these

9.Consider four natural numbers: x, y, x + y, and x – y. Two statements are provided below:

1.All four numbers are prime numbers
2.The arithmetic mean of the numbers is greater than 4

Which of the following statements would be sufficient to determine the sum of the four numbers?

A.Statement I.
B.Statement II
C.Statement I and Statement II
D.Neither Statement I nor Statement II
E.Either Statement I or Statement II

10.Triangle ABC is a right angled triangle D and E are mid points of AB and BC respectively. Read the following statements.

1.AE =19
2.CD = 22
3.Angle B is a right angle

Which of the following statements would be sufficient to determine the length of AC?

A.Statement I and Statement 2.
B.Statement I and Statement 3
C.Statement 2 and 3.
D.Statement 3 alone.
E.All three statements.

Answers–

1.E
2.C
3.A
4.A
5.B
6.B
7.E
8.C
9.A
10.E

Read all XAT 2016 Preparation posts here.