Correct Answer: $\frac{1}{4}\left(\mathrm{~L}^2-4 \mathrm{P}^2\right)$

Solution : Perimeter = $4P$
⇒ 4 × side = $4P$
⇒ Side = $P$
Let $d_1$ and $d_2$ be the diagonals.
The sum of the diagonals = $L$
⇒ $d_1+d_2$ = L ----------------------(i)
Now, (Side)$^2$ = $(\frac{d_1}{2})^2 + (\frac{d_2}{2})^2$
⇒ $P^2 = (\frac{d_1}{2})^2 + (\frac{d_2}{2})^2$

Correct Answer: KMT Party

Solution : The correct option is the KMT Party.

Sun Yat-sen (also known as Sun Zhongshan) was a Chinese revolutionary and political leader who played a pivotal role in the overthrow of the Qing dynasty and the establishment of the Republic of China. He was a

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

Solution : Percentage of water in the first mixture = 50%
Percentage of water in the second mixture = 29%
Percentage of water in final mixture = 36%

 
Ratio = (36 – 29)% : (50 – 36)% = 7 :14 = 1 : 2
Total quantity =

Correct Answer: things on common.

Solution : The correct choice is the fourth option.

The correct phrase is "in common" instead of "on common". "In common" is the correct idiomatic expression to indicate that multiple farmers share certain things. The preposition "in" is used to show a connection or

Correct Answer: this is most unique

Solution : The correct choice is the fourth option.

Unique means being only one of a kind, and it is not comparable in degrees. Thus, most should be omitted to make the sentence grammatically accurate, as it does not take comparative forms since

Correct Answer: Sangam Period

Solution : The correct option is the Sangam period.

The kingdoms of Chola, Chera, and Pandya belong to the Sangam period in ancient India. The Sangam period is a significant phase in the history of ancient South India, marked by the flourishing of Tamil literature

Correct Answer: January 2015

Solution : The correct answer is January 2015

Sukanya Samriddhi Yojana was launched by Prime Minister Narendra Modi on January 22, 2015, as a component of the "Beti Bachao Beti Padhao" campaign. It is a deposit scheme administered by the Ministry of Finance. It secures the

Correct Answer: Working at a particular job

Solution : The third option is correct.

The phrase on the job typically means actively engaged in work or duty. It refers to someone who is working or performing their tasks at his workplace or in the course of their employment. This

Correct Answer: The final problem in a series of problems that makes the situation intolerable

Solution : The correct choice is the fourth option.

This idiom is derived from the proverbial expression "the last straw that breaks the camel's back," where each additional straw contributes to the burden until the

Correct Answer: 184

Solution : Given:
32, 58, 92, 134, ?

The pattern is as follows –

So, the next term is 184. Hence, the first option is correct.