Correct Answer: 1

Solution : The appropriate answer is the first option because 'who are living in communities' should be replaced with 'living in communities' as 'who are'  is redundant as per the correct sentence structure.

The second option 'living amongst the community' is inappropriate because amongst' is a preposition that makes the sentence grammatically incorrect and the third option 'living in midst of communities' is grammatically incorrect.

Therefore, the correct statement should be "Human beings are social animals, living in communities, regulated by social norms and laws"

Correct Answer: 12 m

Solution :
Let $AB$ be the height of the pole.
$BC$ = 9 m and $BD$ = 16 m
$\angle ADB = \theta$
$\angle ACB = 90°-\theta$
From $\triangle ABC$,
$\tan (90°-\theta) = \frac{AB}{BC}$
⇒ $\cot$ $\theta$ = $\frac{AB}{9}$------------------(i)
From $\triangle$ABD,
$\tan$ $\theta$ = $\frac{AB}{16}$----------------(ii)
Multiplying equations (i) and (ii),
$AB^2$ = 144
⇒ $AB$ = 12 m
Hence, the correct answer is 12 m.

Correct Answer: Business and Enhancing Skill Development

Solution : The correct answer is Business and Enhancing Skill Development is not related to the New India Literacy Programme.

For the fiscal years 2022–2027, the Central Government of India has approved a new programme named the "New India Literacy Programme" that will incorporate all aspects of adult education with the National Education Policy 2020.

There are five parts to the scheme:

• basic education
• vocational skills development
• critical life skills
• Vocational literacy and numeracy
• and continuing education.

Correct Answer: 50

Solution : The correct option is 50.

The separation of the judiciary from the executive is mentioned in Article 50. It states, "The state shall take steps to separate the judiciary from the executive in the public services of the state." While the directive principles are not enforceable by courts, they are fundamental to the governance of the country and are considered by the state when formulating policies. The independence of the judiciary is also emphasized in Article 121 of the Constitution of India.

Correct Answer: Coronation

Solution : The correct choice is the fourth option.

Explanation: "Coronation" is the precise term that encapsulates this ceremonial event. It is a noun that refers to the formal crowning or investiture of a monarch. The other options are not related to the specific ceremonial act described.

So, the correct sentence would be: "The royal ceremony concluded with the coronation of the new king."

The meanings of the other options are as follows:

1. Corroboration: Corroboration refers to the act of confirming or supporting a statement or theory with additional evidence. It is not related to the ceremonial act of crowning a monarch.
2. Unseating: Unseating refers to the removal or displacement of a person from a position or office. It does not capture the specific act of placing a crown on the head of a new king or queen.
3. Ousting: Ousting refers to the forceful removal or expulsion of someone from a position of power. It does not convey the ceremonial and formal nature of a royal coronation.

Correct Answer: Rustom

Solution : The correct option is Rustom.

Akshay Kumar won the National Film Award for Best Actor for his performance in the film "Rustom." He received this award at the 64th National Film Awards held in 2017. "Rustom" is a crime thriller film released in 2016, and Akshay Kumar's portrayal of the character Rustom Pavri, a naval officer, earned him critical acclaim.

Correct Answer: Vartak

Solution : The correct option is Vartak.

The Nechiphu Tunnel excavation work falls under Project Vartak, one of the Border Roads Organisation's (BRO) most prominent projects. Project Vartak, established in 1960, is responsible for constructing, and maintaining roads in Arunachal Pradesh, and adjoining districts of Assam. The tunnel's construction significantly enhances connectivity in the region, particularly during harsh weather conditions.

Correct Answer: 0

Solution :
$A, B, C$, and $D$ are the angles of a quadrilateral and they are concyclic.
So, $\angle A+\angle C=\angle B+\angle D=180°$
$\angle A=180°–\angle C$
$\therefore\cos\ A=\cos(180°-C)=–\cos\ C$
Similarly, $\cos\ D=–\cos\ B$
$\cos\ A+\cos\ B+\cos\ C+\cos\ D$
$=\cos\ A+\cos\ B-\cos\ A-\cos\ B$
$=0$
Hence, the correct answer is $0$.

Correct Answer: Sikkim

Solution : The correct option is Sikkim.

Nearly half of India's bird species, wild trees, orchids, rhododendrons, and a third of the nation's floral plants can be found at Kanchenjunga National Park. The Indian state of Sikkim is home to Kanchenjunga National Park, often referred to as the Kanchenjunga Biosphere Reserve.

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the top side of the figure (on line RS). So, the top side of the reflected image will appear as the bottom side and the bottom side will appear as the top side. However, the left and right of the reflected image will remain the same.

Thus, the correct mirror image of the given figure will be –

Hence, the fourth option is correct.