Disha Expert Team Solutions for Chapter: Practice Set, Exercise 2: NUMERICAL APTITUDE

The angle of elevation of the top of an unfinished pillar at the point $150$ m from its base is $30°$. If the angle of elevation at the same point is to be $45°$, then the pillar has to be raised to a height of how many meters?

If the area of a circle, inscribed in an equilateral triangle is $4{\mathrm{\pi cm}}^2$, then what is the area of the triangle? 

A hollow cylindrical iron pipe of length $1.4$ $m$ has base radius $2.5$ $cm$ and thickness of the metal is $1$ $cm$. What is the volume of the iron used in the pipe?

A solid metallic cube of edge $4$ $cm$ is melted and recast into solid cubes of edge $1$ $cm$. If $x$ is the surface area of the melted cube and $y$ is the total surface area of all the cubes recast, then what is $x : y$?

A machine P can print one lakh books in $8$ hours, machine Q can print the same number of books in $10$ hours while machine R can print them in $12$ hours. All the machines are started at $9$ a.m. while machine P is closed at $11$ a.m. and the remaining two machines complete the work. Approximately at what time will the work be finished?

Two tangents are drawn from a point P to a circle at A and B. O is the center of the circle. If $\angle AOP=60°$, then $\angle APB$ is:

$\sqrt{\frac{0.009 \times 0.036 \times 0.016 \times 0.08}{0.002\times 0.0008 \times 0.0002 }}$ is equal to:

The ninth term of the sequence $0, 3, 8, 15, 24, 35,$ .... is: