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

In the beginning of the year 2004, a person invests some amount in a bank. In the beginning of 2007, the accumulated interest is Rs. 10,000 and in the beginning of 2010, the accumulated interest becomes Rs. 25,000. The interest rate is compounded annually and the annual interest rate is fixed. The principal amount is:
Product $M$ is produced by mixing chemical $X$ and chemical $Y$ in the ratio $5:4$. Chemical $X$ is prepared by mixing two raw materials, $A$ and $B$, in the ratio $1:3$. Chemical $Y$ is prepared by mixing raw materials, $B$ and $C$, in the ratio $2:1$. Then the final mixture is prepared by mixing $864$ units of product $M$ with water. If the concentration of the raw material $B$ in the final mixture is $50%$, how much water had been added to product $M$?
Two diagonals of a parallelogram intersect each other at coordinates $(17.5,\,23.5)$. Two adjacent points of the parallelogram are $(5.5,\,7.5)$ and $(13.5,\,16)$. Find the lengths of the diagonals.
In the diagram below, $CD = BF = 10$ units and $\angle CED = \angle BAF = 30^\circ$. What would be the area of $\triangle AED$?
Find the equation of the graph shown below.
Ramesh plans to order a birthday gift for his friend from an online retailer. However, the birthday coincides with the festival season during which there is a huge demand for buying online goods and hence deliveries are often delayed. He estimates that the probability of receiving the gift, in time, from the retailers A, B, C and D would be 0.6, 0.8, 0.9 and 0.5 respectively.
Playing safe, he orders from all four retailers simultaneously. What would be the probability that his friend would receive the gift in time?
The figure below has been obtained by folding a rectangle. The total {visible area of the folded figure is $144\ \text{m}^2$. Had the rectangle not been folded, the current overlapping part would have been a {square}. What would have been the total area of the original (unfolded) rectangle?}
What is the sum of the following series? $-64, -66, -68, \ldots, -100$
A solid metal cylinder of 10 cm height and 14 cm diameter is melted and re-cast into two cones in the proportion of 3 : 4 (volume), keeping the height 10 cm. What would be the percentage change in the flat surface area before and after?
The Maximum Retail Price (MRP) of a product is 55% above its manufacturing cost. The product is sold through a retailer, who earns 23% profit on his purchase price. What is the profit percentage (nearest integer) for the manufacturer who sells his product to the retailer? The retailer gives 10% discount on MRP.

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.

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:
Let ‘R’ be the ratio of Foreign Exchange Earnings from Tourism in India (in US million) to Foreign Tourist Arrivals in India (in million). Assume that R increases linearly over the years. If we draw a pie chart of R for all the years, the angle subtended by the biggest sector in the pie chart would be approximately:
In which of the following years the percentage increase in the number of Indians going abroad was greater than the percentage increase in the number of domestic tourists?
Aditya has a total of 18 red and blue marbles in two bags Each bag has marbles of both colors). A marble is randomly drawn from the first bag followed by another randomly drawn from the second bag, the probability of both being red is $5/16$. What is the probability of both marbles being blue?
In which of the following years was the rupee cheapest with respect to the dollar?
The value of the expression: \[ \displaystyle \sum_{i=2}^{100} \frac{1}{\log_i(100!)} \] is:
A rectangular swimming pool is 48 m long and 20 m wide. The shallow edge of the pool is 1 m deep. For every 2.6 m that one walks up the inclined base of the swimming pool, one gains an elevation of 1 m. What is the volume of water (in cubic meters), in the swimming pool? Assume that the pool is filled up to the brim.
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:
There are two squares S1 and S2 with areas 8 and 9 units, respectively. S1 is inscribed within S2, with one corner of S1 on each side of S2. The corners of the smaller square divide the sides of the bigger square into two segments, one of length a and the other of length b (b > a). A possible value of b/a is:
Diameter of the base of a water-filled inverted right circular cone is $26$ cm. A cylindrical pipe, $5$ mm in radius, is attached to the surface of the cone at a point. The perpendicular distance between the point and the base (the top) is $15$ cm. The distance from the edge of the base to the point is $17$ cm, along the surface. If water flows at the rate of $10$ meters per minute through the pipe, how much time would elapse before water stops coming out of the pipe?
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 $11$?
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:
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?