Ajay Kumar Solutions for Chapter: Numerical Ability, Exercise 18: Practice set

What is the area of a circle whose radius is the diagonal of a square whose area is $4$?

If a square and an equilateral triangle have equal perimeters, what is the ratio of the area of the triangle to the area of the square?

Of all the triangles that can be inscribed in a semicircle of radius $\mathrm{R}$ with the diameter as one side, the biggest one has the area?

Mr. Harsh used $16$congruent rhombi-shaped tiles to design the midsection of the back splash area above a kitchen sink. The length of the design is $27 \mathrm{inches}$ and the total area is $108 \mathrm{square} \mathrm{inches}$. Find the length of each diagonal.

Circle $\mathrm{PQR}$ is inscribed in a quadrilateral $\mathrm{ABCD}$. The circle touches side $\mathrm{AD}$ at point $\mathrm{S}$. $\mathrm{AP}=8 \mathrm{cm}, \mathrm{QC}=3 \mathrm{cm}$ and $\mathrm{DC}=6 \mathrm{cm}$. The length of side $\mathrm{AD}$ is?

The product of the perimeter of a triangle, the radius of its in-circle, and a number gives the area of the triangle. The number is?

A regular hexagon is inscribed in an equilateral triangle, as shown. If the hexagon has an area of $12$, the area of this triangle is?

A ladder rests against a wall as shown. The top and the bottom ends of the ladder are marked $\mathrm{A}$ and $\mathrm{B}$. The base $\mathrm{B}$ slips. The central point $\mathrm{C}$ of the ladder falls along?