Correct Answer: Autobiography

Solution : The fourth option is the correct choice.

"Autobiography" precisely represents the life history of a person written by that person.

The meanings of the other options are as follows:

• "Biography" is a life history of a person written by someone else, not the person himself.

Correct Answer: 60°

Solution :
Radius = $\frac{\text{Diameter}}{2}$
In an equilateral triangle, since the three sides are equal the three angles opposite to the equal sides, are equal in measure.
OA = OB = AB = 10 cm
⇒ $\triangle$OAB is an equilateral triangle.
So, $\angle$OAB = $\angle$OBA = $\angle$AOB

Correct Answer: Assam

Solution : The correct option is Assam.

The Bihu dance is a dynamic traditional folk dance originating from the northeastern Indian state of Assam. It holds a place in the Bihu festival, with various agricultural and cultural events throughout the year. This dance form is characterised

Correct Answer: Sports

Solution : As per the chart,
The sum of all the central angles in a pie chart is 360°.
The Sports head has the maximum expenditure with a central angle of 120°.
Hence, the correct answer is Sports.

Correct Answer: 18

Solution : $\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)^2=9$ 
$⇒\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right) = 3$
$⇒\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)^3 = 3^3$
$⇒\mathrm{k}^3+ \frac{1}{\mathrm{k}^3}+3×\mathrm{k}×\frac{1}{\mathrm{k}}(\mathrm{k}+\frac{1}{\mathrm{k}})=27$
$⇒ \mathrm{k}^3 + \frac{1}{\mathrm{k}^3}=27- 3(\mathrm{k} + \frac{1}{\mathrm{k}} )$
$⇒\mathrm{k}^3 + \frac{1}{\mathrm{k}^3} = 27 - 3\times3$
$⇒\mathrm{k}^3 + \frac{1}{\mathrm{k}^3}=18$
Hence, the correct answer is 18.

Correct Answer: including

Solution : The most appropriate option is the fourth option.

Explanation: Including means to contain as part of a whole. In this context, it implies that among the eight planets in the solar system, Earth is one of them. "The eight planets in the solar system, including

Correct Answer: Methyl alcohol 

Solution : The correct option is - Methyl alcohol 

Other names for methanol include methyl alcohol, wood alcohol, and wood spirits and its chemical formula is CH₃OH. It got the name "wood alcohol" because, in the past, it was mostly produced as a byproduct

Correct Answer: 140

Solution : Given:
$\left(x-\frac{1}{x-2}\right)=7$
⇒ $\left(x-2-\frac{1}{x-2}\right)=5$
⇒ $\left(x-2-\frac{1}{x-2}\right)^3=5^3$
⇒ $(x-2)^3 - (\frac{1}{x-2})^3-3×(x-2)×(\frac{1}{x-2})\left(x-2-\frac{1}{x-2}\right)=125$
⇒ $(x-2)^3 - (\frac{1}{x-2})^3=125+(3×5)$
$\therefore (x-2)^3 - (\frac{1}{x-2})^3=140$
Hence, the correct answer is 140.

Correct Answer: Calomel

Solution : The correct answer is Calomel.

The popular name for mercury(I) chloride is calomel. Calomel is a white or yellowish-white powder that has been used as a laboratory reagent in medicine and as a depolarizer in dry batteries.

Correct Answer: 4

Solution : The radius of a spherical ball, $r_1$ = 6 cm
The radius of the solid hemisphere, $r_2$ = 12 cm
Volume of a sphere = $\frac{4}{3}\pi{r_1^3}$
Volume of a hemisphere = $\frac{2}{3}\pi{r_2^3}$
Let n numbers of spherical balls be made.
So, $\text{n} \times\frac{4}{3}\pi\times6^3 = \frac{2}{3}\pi\times12^3$