List of top Quantitative Ability and Data Interpretation Questions

$f$ is a function for which $f(1)=1$ and $f(x) = 2x + f(x-1)$ for each natural number $x \geq 2$. Find $f(31)$.
$a, b, c$ are integers, $|a| \ne |b| \ne |c|$ and $-10 \le a,b,c \le 10$. What will be the maximum possible value of $[\,abc - (a+b+c)\,]$?
If $a,b,c$ are three consecutive integers between $-10$ and $+10$ (both inclusive), how many {integer values are possible for} \[ \frac{a^3+b^3+c^3+3abc}{(a+b+c)^2}\,? \]
$\triangle ABC$ and $\triangle XYZ$ are equilateral triangles of side $54\ \text{cm}$. All smaller triangles like $\triangle ANM,\ \triangle OCP,\ \triangle QPX$ etc.\ are also equilateral. Find the area of the shape $MNOPQRM$.
In the figure below, $AB = AC = CD$. If $\angle ADB = 20^\circ$, what is the value of $\angle BAD$?
The difference between the area of the circumcircle and the area of the incircle of an equilateral triangle is $2156\ \text{cm}^2$. What is the area of the equilateral triangle?
In the figure, two circular arcs subtend $60^\circ$ and $90^\circ$ at their respective centres. If the length of the bottom arc $Y$ is $10\pi$, find the length of the other arc $X$.
$ABCD$ is a quadrilateral such that $AD=9\ \text{cm}$, $BC=13\ \text{cm}$ and $\angle DAB=\angle BCD=90^\circ$. $P$ and $Q$ are two points on $AB$ and $CD$ respectively, such that $DQ:BP=1:2$ and $DQ$ is an integer. How many values can $DQ$ take, for which the maximum possible area of the quadrilateral $PBQD$ is $150\ \text{cm}^2$?
In an election in which there were only two candidates A and B, B got 50% of the votes that A got. Had A got 200 votes less, there would have been a tie. How many people cast their votes in all?
If the numerator and the denominator of a fraction are each decreased by 3, the fraction becomes 2/3. If both the numerator and the denominator are increased by 7, the fraction becomes 3/4. Find the fraction.
Ten years from now, the age of Raja’s father will be twice Raja’s age. Ten years ago, the age of Raja’s father was thrice Raja’s age. Find the present age of Raja and his father.
The angles of elevation of an electric pole from two points A and B lying on the level ground on either side of the pole are 30° and 60° respectively. If the two points A and B are 500 m apart, then at what distance from point A is the electric pole?
The investments of P and Q are Rs.5000 and Rs.6000 respectively. P takes Rs.20 as monthly salary for running the business and the remaining profit is divided based on the investments. If P got a total of Rs.640, then how much does Q get in the total profit?
A bag contains 7 white and 8 red balls. If 10 balls are drawn at random from the bag, what is the probability that 6 balls are white and the rest are red?
A metal weighs 1500 kg per cubic metre and another metal weighs 2500 kg per cubic metre. These two metals are mixed to form an alloy.

In a circle with centre O, PT and PS are tangents drawn to it from point P. If PT = 24 cm and OT = 10 cm, then find the length of PO. 

In how many ways can 4 boys be seated on 10 different chairs in a row?
Ram and Shyam, two magicians, present a magic-show together. Ram triples every red flower in 10 seconds and Ravi doubles every yellow flower in 10 seconds. If after a minute there were 1049 red and yellow flowers, how many flowers were there initially?
Consider the set of numbers $\{1,\,3,\,3^{2},\,3^{3},\,\ldots,\,3^{100}\}$. The ratio of the last number and the sum of the remaining numbers is closest to:
For two positive integers $a$ and $b$, if $(a+b)^{(a+b)}$ is divisible by $500$, then the least possible value of $a\times b$ is:
Study the data given in the table below and answer the question that follow:

Region vs Shop Type

Region \\ Shop TypeNorthEastWestSouthAll India
Grocers\(34.7\)\(32\)\(32.2\)\(30.2\)\(32.4\)
Pan Bidi\(7.1\)\(21.2\)\(13.1\)\(19.1\)\(14.6\)
Food Shops\(11.8\)\(7.9\)\(14.8\)\(12\)\(11.6\)
General Stores\(12.4\)\(9.1\)\(12\)\(6.6\)\(10.1\)
Electrical Hardware\(8.3\)\(5.6\)\(7.7\)\(5.7\)\(6.7\)
Chemists\(6\)\(5.8\)\(5\)\(5.7\)\(5.7\)
Cosmetic Stores\(3.8\)\(3.6\)\(3.3\)\(3.9\)\(3.7\)
Others\(15.8\)\(14.8\)\(12\)\(16.8\)\(15.2\)
Total\(100\)\(100\)\(100\)\(100\)\(100\)
All gures are in percentage Based on survey of ‘shop types’ Kamath categorized Indian states into four geographical regions as shown in the table above. His boss felt that the categorization was inadequate since important labels were missing. Kamath argued that no further labels are required to interpret the data.

This graph depicts the last eight years’ annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph 

The bold line in the graph presents Mean salaries at various years

A person standing at point $A$ on the ground saw an object at point $B$ on the ground $600$ m away. The object started flying towards him at an angle of $30^\circ$ with the ground. The person saw it the second time at point $C$ when the angle of elevation was $30^\circ$. At $C$, the object changed direction and continued flying upwards. The person saw it the third time when it was directly above him. The object flew at a constant speed of $10$ kmph. Find the angle (with the ground) at which it flew after the second sighting. You may use additional statement(s) if required.
Statement I: After changing direction the object took $3$ more minutes than it had taken before.
Statement II: After changing direction the object travelled an additional $200\sqrt{3}$ metres.
Which of the following is correct?
Pradeep could either walk or drive to office. The time taken to walk to the office is $8$ times the driving time. One day, his wife took the car making him walk to office. After walking $1$ km, he reached a temple when his wife called to say that he can now take the car. Pradeep figures that continuing to walk to the office will take as long as walking back home and then driving to the office. Calculate the distance between the temple and the office.
Each day on Planet M is 10 hours, each hour 60 minutes and each minute 40 seconds. The inhabitants use a 10-hour analog clock. If such a clock shows \(\,3\) hours \(42\) minutes \(20\) seconds in a {mirror, what will be the time on Planet M exactly after \(5\) minutes?}