List of top Quantitative Ability and Data Interpretation Questions asked in XAT

Consider four natural numbers: $x$, $y$, $x+y$, and $x-y$. Two statements are given:
I. All four numbers are prime numbers.
II. 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?
Triangle $ABC$ is a right-angled triangle. $D$ and $E$ are the midpoints of $AB$ and $BC$ respectively. Read the following statements.
I. $AE = 19$ II. $CD = 22$ III. $\angle B$ is a right angle.
Which of the following statements would be sufficient to determine the length of $AC$?
Expression $\displaystyle \sum_{n=1}^{13} \frac{1}{n}$ can also be written as $\dfrac{x}{13!}$. What would be the remainder if $x$ is divided by $11$?
A teacher noticed a strange distribution of marks in the exam. There were only three distinct scores: $6, 8,$ and $20$. The mode of the distribution was $8$. The sum of the scores of all the students was $504$. The number of students in the most populated category was equal to the sum of the number of students with lowest score and twice the number of students with the highest score. The total number of students in the class was:
Circle C₁ has a radius of 3 units. The line segment PQ is the only diameter of the circle which is parallel to the X-axis. P and Q are points on curves given by the equations y = ax and y = 2ax respectively, where a < 1. The value of a is:
The probability that a randomly chosen positive divisor of $10^{29}$ is an integer multiple of $10^{23}$ is: $a^2/b^2$. Then $b-a$ would be:
Consider the formula, \( S = \dfrac{\alpha \times \omega}{\tau + \rho \times \omega} \) with positive integers. If \(\omega\) is increased and \(\alpha, \tau, \rho\) are kept constant, then \(S\):
Two numbers, $297_B$ and $792_B$, belong to base $B$ number system. If the first number is a factor of the second number then the value of $B$ is:
Consider a rectangle $ABCD$ of area $90$ units. The points $P$ and $Q$ trisect $AB$, and $R$ bisects $CD$. The diagonal $AC$ intersects the line segments $PR$ and $QR$ at $M$ and $N$ respectively. What is the area of the quadrilateral $PQNM$?
Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90. Grade B is awarded to a student if the average of her scores is between 87 and 89 Both include(D). If the average is below 87, the student gets a C grade. Ramesh is preparing for the last quiz and he realizes that he will score a minimum of 97 to get an A grade. After the quiz, he realizes that he will score 70, and he will just manage a B. How many quizzes did Prof. Suman take?
Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sashi. Each time Sashi gets a number from Amitabh, he adds 50 and gives it back; Amitabh again doubles the received number. The first person whose result exceeds 1000 loses. Let $x$ be the smallest initial number that results in a win for Amitabh. The sum of the digits of $x$ is:
A polynomial $y = ax^3 + bx^2 + cx + d$ intersects the x-axis at 1 and -1, and the y-axis at 2. The value of $b$ is:
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:
$x, 17, 3x - y^2 - 2, and 3x + y^2 - 30$ are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by:
The sum of the possible values of \(x\) in the equation \(|x+7| + |x-8| = 16\) is:
In quadrilateral $PQRS$, $PQ = 5$ units, $QR = 17$ units, $RS = 5$ units, and $PS = 9$ units. The length of the diagonal $QS$ can be:

Answer the questions based on the following information given below. 

The exhibit given below compares the countries (first column) on different economic indicators (first row), from 2000–2010. A bar represents data for one year and a missing bar indicates missing data. Within an indicator, all countries have the same scale.

Country20002001200220032004200520062007200820092010
Brazil645653671678717740769816858855919
China1,1981,2981,4161,5581,7151,9092,1512,4572,6932,9403,246
India475498518559603659720790821888973
Malaysia949499105112118125133140137147
Philippines8183869197101107114119120129
Thailand123125132141150157165174178174187
United States9,89910,00710,19010,45010,81411,14611,44311,66111,61911,20911,548
Vietnam3133363841454853565963

Answer the questions based on the trend lines from the following graphs.

Note: Left side of X-axis represents countries that are "poor" and right side of X-axis represents countries that are "rich", for each region.

GDP is based on purchasing power parity (PPP).

These are World Bank (WB) estimates.

What was the approximate number of unemployed persons in 2006?

Which is the fastest train between HHH and NNN?

What is the ratio of the current account balance in 2010 to the current account balance in 2005?

Read the statements given below:
1. Exports were more than imports in 2006
2. Imports were more than exports in 2009
3. Exports increased at faster rate than imports during the period 2005 to 2010
Which of the above statements is necessarily true?
Which is the fastest train between AAA and NNN?
If you have to travel from AAA and reach HHH at around 9:00 AM, and then further travel to NNN at around 6:00 PM, which is the best combination of trains for you?

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