List of top Quantitative Ability and Data Interpretation Questions

Let $PQRS$ be a quadrilateral. Two circles $O_1$ and $O_2$ are inscribed in triangles $PQR$ and $PSR$ respectively. Circle $O_1$ touches $PR$ at $M$ and circle $O_2$ touches $PR$ at $N$. Find the length of $MN$. % Statement I A circle is inscribed in the quadrilateral $PQRS$. % Statement II The radii of the circles $O_1$ and $O_2$ are 5 and 6 units respectively.

In a plane rectangular coordinate system, points $L, M, N,$ and $O$ are represented by the coordinates $(-5,0), (1,-1), (0,5),$ and $(-1,5)$ respectively. Consider a variable point $P$ in the same plane. The minimum value of $PL + PM + PN + PO$ is:

Let $PQRS$ be a quadrilateral. Two circles $O_1$ and $O_2$ are inscribed in triangles $PQR$ and $PSR$ respectively. Circle $O_1$ touches $PR$ at $M$ and circle $O_2$ touches $PR$ at $N$. Find the length of $MN$. % Statement I A circle is inscribed in the quadrilateral $PQRS$. % Statement II The radii of the circles $O_1$ and $O_2$ are 5 and 6 units respectively.

Consider a square $ABCD$ of side $60$ cm. It contains arcs $BD$ and $AC$ drawn with centres at $A$ and $D$ respectively. A circle is drawn such that it is tangent to side $AB$, and the arcs $BD$ and $AC$. What is the radius of the circle?

The scheduling officer for a local police department is trying to schedule additional patrol units in each of two neighbourhoods – southern and northern. She knows that on any given day, the probabilities of major crimes and minor crimes being committed in the northern neighbourhood were 0.418 and 0.612, respectively, and that the corresponding probabilities in the southern neighbourhood were 0.355 and 0.520. Assuming that all crime occur independent of each other and likewise that crime in the two neighbourhoods are independent of each other, what is the probability that no crime of either type is committed in either neighbourhood on any given day?

There are four machines in a factory. At exactly 8 pm, when the mechanic is about to leave the factory, he is informed that two of the four machines are not working properly. The mechanic is in a hurry, and decides that he will identify the two faulty machines before going home, and repair them next morning. It takes him twenty minutes to walk to the bus stop. The last bus leaves at 8:32 pm. If it takes six minutes to identify whether a machine is defective or not, and if he decides to check the machines at random, what is the probability that the mechanic will be able to catch the last bus?

A train travelling at 36 kmph crosses a platform in 20 seconds and a man standing on the platform in 10 seconds. What is the length of the platform in meters?

Find the value of log₁₀10+log10²+log10 10ⁿ

Two people were walking in opposite directions. Both of them walked 6 miles forward then took right and walked 8 miles. How far is each from starting positions?

A 4 cm cube is cut into 1cm cubes. What is the percentage increase in the surface area after such cutting?

A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

Three parallel lines are cut by two transversals as shown in the given figure. If AB=2 cm, BC=4 cm and DE=1.5 cm, then the length of EF is:

The radius of a wire is decreased to one-third and its volume remains the same. The new length is how many times the original length?

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle. This process continues indefinitely. Find the sum of the perimeters of all the triangles.

A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of the sphere. What is the ratio of the height and radius of the cone so formed?

Find the intercepts made by the line 3x + 4y - 12 = 0 on the axes:

By walking at of his usual speed, a man reaches office 10 minutes later than usual. What is his usual time?

A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 miles per hour to the women’s 4 mile per hour, how far will the woman have travelled when they meet?

In a 100 M race, if A gives B a start of 20 meters, then A wins the race by 5 seconds. Alternatively, if A gives B a start of 40 meters the race ends in a dead heat. How long does A take to run 200 M?

A bag contains 5 white and 3 black balls; another bag contains 4 white and 5 black balls. From any one of these bags a single draw of two balls is made. Find the probability that one of them would be white and another black ball.

The probability that a leap year selected at random contains either 53 Sundays or 53 Mondays, is:

Four men and three women can do a job in 6 days. When 5 men and 6 women work on the same job, the work gets completed in 4 days. How long will 2 women and 3 men take to do the job?

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?

A and B can do a piece of work in 21 and 24 days respectively. They start the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?

Amit can do a work in 12 days and Sagar in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is: