It's a Question of your Career!

Correct Answer: 40 miles/hr

Solution : $\text{Average speed}=\frac{\text{Total distance}}{{\text{Total time}}}=\frac{220+220}{6+5}=\frac{440}{11}=40$ miles/hr
Hence, the correct answer is 40 miles/hr.

Correct Answer:

Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in

Correct Answer: Cover : Book

Solution : Given:
Frame : Picture :: ? : ? (Here, the first term is used to protect the second term.)

Let's check each option –
First option: Box : Lid; Box is not used to protect lid.
Second option: Chair : Cushion; Cushion is

Correct Answer: $\tan^{2}\alpha$

Solution : Given: $\cos^{2}\alpha–\sin^{2}\alpha=\tan^{2}\beta$
We know that: $1+\tan^{2}\alpha=\sec^{2}\alpha$
So, $\cos^{2}\alpha-\sin^{2}\alpha=\sec^{2}\beta-1$
⇒ $\cos^{2}\alpha-\sin^{2}\alpha+1=\sec^{2}\beta$
⇒ $\cos^{2}\beta=\frac{1}{\cos^{2}\alpha–\sin^{2}\alpha+(\sin^{2}\alpha+\cos^{2}\alpha)}$
⇒ $\cos^{2}\beta=\frac{1}{2\cos^{2}\alpha}$
Also, $\sin^{2}\beta=1-\cos^{2}\beta=1-\frac{1}{2\cos^{2}\alpha}$
So, $\cos^{2}\beta-\sin^{2}\beta$
$=\frac{1}{2\cos^{2}\alpha}-(1-\frac{1}{2\cos^{2}\alpha})$
$= \frac{1}{\cos^{2}\alpha}-1$
$= \sec^{2}\alpha-1$
$= \tan^{2}\alpha$
Hence, the correct answer is $\tan^{2}\alpha$.

Correct Answer: Canada

Solution : The correct option is Canada.

The inaugural Commonwealth Games were held in Hamilton, Ontario, Canada, from August 16 to 23, 1930. The event was originally known as the British Empire Games. 11 countries participated in this game.

Correct Answer: Businessman

Solution : The correct answer is Businessman.

Dadabhai Naoroji, born into a Parsi family in Bombay, British India, initially pursued a business career. He was a partner in the firm Cama & Co., marking the establishment of the first Indian company in Britain. Additionally, Naoroji was actively

Correct Answer: adaptive radiation

Solution : The correct answer is adaptive radiation.

The process of evolution of different species in a given geographical area, starting from a point and radiating to other areas of geography (habitats), is called "adaptive radiation." Adaptive radiation occurs when a single ancestor species gives rise

Correct Answer: Endosmosis

Solution : The correct option is Endosmosis.

Endosmosis is the mechanism by which plant guard cells open their stomata. The passage of water over a semi-permeable membrane from a low solute concentration area to a high solute concentration area is osmosis. Water travels into guard cells

Correct Answer: being

Solution : The third option is correct.

Explanation: In this sentence, the gerund being would be used after the preposition from to indicate the source or origin of the advantage. The words from being connect the preposition with its object, a bachelor. This construction implies that

Correct Answer: $\frac{10}{3}v$

Solution : Given: $\frac{x}t=v$
Now, distance travelled by R on the second day = $2.5x$
Time taken by him to cover that distance = $0.75t$
So, speed on second day = $\frac{2.5x}{0.75t}=\frac{10}{3}v$
Hence, the correct answer is $\frac{10}{3}v$.