It's a Question of your Career!

Correct Answer: 3

Solution :
The diameters of the two circles are 12 cm and 20 cm.
The distance between their centres is 16 cm.
According to the diagram,
The two circles are touching each other externally.
So, the number of common tangents will be 3.
Hence, the correct answer

Correct Answer: 6

Solution : The correct answer is 6.

India's 2012 Summer Olympics marked a historic achievement, doubling its previous record with a total of six medals, including two silver and four bronze. Notably, the nation's first female athletes to secure Olympic medals in the same Games were

Correct Answer: $\frac{7}{2 \sqrt{3}}$

Solution : $\cos 0^{\circ}+\cos 30^{\circ}-\tan 45^{\circ}+\operatorname{cosec} 60^{\circ}+\cot 90^{\circ}$
= $1+\frac{\sqrt{3}}{2}-1+\frac{2}{\sqrt{3}}+0$
= $\frac{\sqrt{3}}{2}+\frac{2}{\sqrt{3}}$
= $\frac{3+4}{2\sqrt{3}}$
= $\frac{7}{2 \sqrt{3}}$
Hence, the correct answer is $\frac{7}{2 \sqrt{3}}$.

Correct Answer: got permission

Solution : The correct choice is the third option.

The original sentence contains an unnecessary article "a" before "permission". In English, when referring to the concept of permission, the noun "permission" is typically used without an article, as it is not a countable

Correct Answer: metre

Solution : The correct answer is metre.

The metre is the unit of length in the SI (International System of Units). The most widely used measurement system is the International System of Units (SI), which is the current equivalent of the metric system based on the

Correct Answer: Pyrex glass

Solution : The correct answer is Pyrex glass.

Glasses are formed of silica. Although glass do not have any sharp melting point but it melts slowly because of heat. Because of this phenomenon glasses of windows become thick at bottom and thin at upper portion. Pyrex

Correct Answer: 220 cm²

Solution : Give: Radius = 7 cm
Slant height = 10 cm
The curved surface area of a cone = $\pi rl$
= $\frac{22}{7}\times7\times10$
= 220 cm²
Hence, the correct answer is 220 cm².

Correct Answer: Jahangir

Solution : The correct answer is Jahangir.

Ghiyas Beg was a merchant from Iran. He was the father of Nur Jahan. Ghiyas Beg was appointed chief minister, or Wazir, by Jahangir upon his coronation as Mughal emperor. Jahangir gave his father-in-law the title of Itimad-ud-Daulah, or

Correct Answer: strengthen Panchayati Raj 

Solution : The correct answer is strengthen Panchayati Raj.

The Indian Constitution's Seventy-Third Amendment Act of 1992 was passed to strengthen local self-governance in rural India. It established Panchayati Raj Institutions (PRIs), which include Gram Panchayats, Panchayat Samitis, and Zila Parishads and gave them the

Correct Answer: 192

Solution :
Given: $\mathrm{AD:DB=1:4}$ and the area of $\Delta \mathrm{ABC}$ is $200\;\mathrm{cm^2}$.
In $\Delta \mathrm{ABC}$,
$\mathrm{DE}\parallel\mathrm{BC}$
So, $\Delta \mathrm{ADE}\sim\Delta \mathrm{ABC}$,
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
⇒ $\frac{\text{Area of $\Delta \mathrm{ADE}$}}{{\text{Area of