Embibe Experts Solutions for Chapter: Solved Mathematics Paper-1, Exercise 1: Exercise

Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.

The height and radius of the base of a conical portion is $21$ metre and $28$ metre. To make this conical part, find the length of the cloth in metres that is required if the given cloth has a breadth of $8.8$ metres.

Find the canonical decomposition of the number $4284$.

A kite string is $48 \mathrm{m}$ long. As the wind blew, the angle between the kite and the ground went from $27$ degrees to $54$ degrees. Determine the increase in the vertical height of the kite above the ground.

If $\cot \alpha =\tan (\beta +\gamma )$, then what is the value of $\sin (\alpha +\beta +\gamma )$

If a number $x$ is chosen at random from the numbers $-3, -2, -1, 0, 1, 2, 3$. What is the probability that $x^2\le 4$?

The external and internal radius of a hollow cylinder of height $25 \mathrm{cm}$are $7 \mathrm{cm}$ and $5 \mathrm{cm}$. By melting the cylinder a solid cone of half its height is formed. Find the radius of base of the cone.

Find the volume of the following shape. $\left(\text{Take} \mathrm{\pi }=3.14\right)$

In his end of year exams, Joe scored the following:
Science $34\%$
English $90\%$
History $87\%$
Math $34\%$
Geography $55\%$
What was the mean?