Editorial Board and Pratiyogita Darpan Solutions for Chapter: Practice Set, Exercise 4: PRACTICE SET-4

A sphere is split in the ratio $1:3$. The larger part is moulded into a cone having a height equal to the radius of its base, while the smaller part is moulded into a cylinder having a height equal to the radius of its base. What would be the ratio of the radius of the base of the cone to the height of the cylinder? 

Using the sequence $5\mathrm{JA}8\mathrm{K}6\mathrm{G}4\mathrm{OC}1659\mathrm{NLEPUF}$, select the term that does NOT belong to the following series.

$\mathrm{AG},1\mathrm{N}, 46, \mathrm{NF}$

Which of the following statement(s) is/are correct?

Statements :

1. The rotation of Earth is responsible for wind blowing.

2. A fuel would be regarded as environment friendly if its combustion products were non-poisonous.

3. Coal is a complex mixture of compounds of $O_2{H}_2$ and half of free carbon. A small amount of Nitrogen and Sulphur compounds are also present in coal.

From each corner of square with an edge of $4 cm$, $1 cm$ segment was chopped off from each side containing a vertex. What is the perimeter and area of octagon thus created?

Pointing to Mr. X, Mrs. Y said that Mr. X's wife is the only daughter of Mrs.Y's father, then Mrs. Y is Mr. X's _____ .

Direction: A line graph is given below, study the graph carefully and answer the following questions.

Based on the graph, the difference in the earnings was the highest between which of the two consecutive days:

The data given shows the registration of number of bikes and total vehicles (in thousands) for six months in $2017$ in city $\mathrm{X}$.

Note : In chart, the first represent bikes and second represent the total number of vehicles.

What is the total increase in registration of bikes from May to June $2017$?

Which of the following is not the combined form of carbon?