It's a Question of your Career!

Correct Answer:

Solution : We know that both mango and banana are fruits. So, their circles will lie inside that of fruits. But, mango and banana are not related to each other. So, their circles will not have a common area.
The Venn diagram will be –

Hence, the second

Correct Answer: $\mathrm{p}^2-\mathrm{q}^2=4 \sqrt{\mathrm{pq}}$

Solution : Given, $\sin \theta+\tan \theta=\mathrm{p}$ and $\tan \theta-\sin \theta=\mathrm{q}$
Now, $\mathrm{pq}=(\tan \theta-\sin \theta)(\tan \theta+\sin \theta)$
Using $(a-b)(a+b)=a^2-b^2$
⇒ $\mathrm{pq}=\tan^2\theta-\sin^2\theta$
⇒ $\mathrm{pq}=\frac{\sin^2\theta}{\cos^2\theta}-\sin^2\theta$
⇒ $\mathrm{pq}=\sin^2\theta(\frac{1}{\cos^2\theta}-1)$
⇒ $\mathrm{pq}=\sin^2\theta(\frac{1-\cos^2\theta}{\cos^2\theta})$
We know, $\sin^2\theta+\cos^2\theta = 1$
⇒ $\mathrm{pq}=\sin^2\theta(\frac{\sin^2\theta}{\cos^2\theta})$
⇒ $\mathrm{pq}=\sin^2\theta\tan^2\theta$
And, $\mathrm{p^2}=(\sin \theta+\tan \theta)^2$
$=\sin^2 \theta+\tan^2 \theta+2\sin\theta\tan\theta$
Also, $\mathrm{q^2}=(\tan \theta-\sin \theta)^2$

Correct Answer: Red and green

Solution : The correct answer is Red and green.

Colour blindness is a condition in which a person faces difficulty distinguishing certain colours, such as red and green. It is a disorder that affects one's ability to identify the differences between various shades of colour.

Correct Answer: Prithviraja III

Solution : The correct answer is Prithviraja III.

The most well-known Chahamana king was Prithviraja III (1168–1192). He beat Sultan Muhammad Ghori of Afghanistan in 1191 but fell short of him the following year, in 1192.

Correct Answer: Auxanometer

Solution : The answer is the Auxanometer.

The growth of bacteria is measured by an apparatus known as an auxanometer, which measures the increase in the growth of plants and bacteria. A calorimeter is used to measure the amount of heat involved in a chemical reaction. A

Correct Answer: 42

Solution : Given, Area = 346.5 cm$^2$
Angle ($\theta$) = 22.5°
Let $r$ be the radius.
Area $=\frac{\theta}{360°}\times \pi r^2$
⇒ $346.5=\frac{22.5°}{360°}\times \frac{22}{7}\times r^2$
⇒ $\frac{346.5\times360\times7}{22.5\times 22}=r^2$
⇒ $r^2 = \frac{873180}{495}$
⇒ $r^2=1764$
⇒ $r=\sqrt{1764}$
⇒ $r$ = 42 cm
Hence, the correct answer is 42.

Correct Answer: E W T G R Q W

Solution : Given:
Q W _ R T Q _ F R _ Q W _ _ T _ _ H R T

To fill the series we have to divide the series – Q W _ R T / Q

Correct Answer: Subhas Chandra Bose

Solution : The correct answer is Subhas Chandra Bose.

Subhas Chandra Bose, a prominent freedom fighter in India's struggle for independence, addressed Mahatma Gandhi as the "Father of the Nation" in one of his speeches. Bose was a fervent nationalist leader who played a significant

Correct Answer: A nap was being taken by Suman.

Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the

Correct Answer: raising temperatures in the

Solution : The correct choice is the first option.

The correct term is rising (intransitive), which is commonly used to indicate a natural increase in temperature. Raising (transitive) generally refers to the act of lifting or elevating something physically.

Therefore, the correct sentence should