Correct Answer: very active

Solution : The correct option is the fourth option.

Explanation:
In full swing typically means something is happening energetically, at a fast pace, or with full participation, which aligns with the context of an active and engaging game.

Correct Answer: To emerge with a new life

Solution : The correct choice is the third option.

Rise like a phoenix is an idiom that means to emerge stronger and more powerful after a crisis, which is correctly stated in the third option, to emerge with a new life.

Correct Answer: QU

Solution : Given:

M, E, N, I, P, O, ?, ?

The letters in odd places (M, N, P) are consonants and the letters in even places (E, I, O) are vowels.

The next consonant after P is Q.

The next vowel after O is U.

Therefore, Q, U are the missing terms and the series is as follows –

M, E, N, I, P, O, Q, U

Hence, third option is correct.

Correct Answer: $\frac{15}{13}$

Solution : Given: The expression is $2=x+\frac{1}{1+\frac{1}{5+\frac{1}{2}}}$.
⇒ $2=x+\frac{1}{1+\frac{1}{\frac{10+1}{2}}}$
⇒ $2=x+\frac{1}{1+\frac{1}{\frac{11}{2}}}$
⇒ $2=x+\frac{1}{1+\frac{2}{11}}$
⇒ $2=x+\frac{1}{\frac{11+2}{11}}$
⇒ $2=x+\frac{1}{\frac{13}{11}}$
⇒ $2=x+\frac{11}{13}$
⇒ $x=2–\frac{11}{13}$
⇒ $x=\frac{26–11}{13}=\frac{15}{13}$
Hence, the correct answer is $\frac{15}{13}$.

Correct Answer:

Solution : In the given figure –
1. The arrow located in the top left corner is rotating in the anticlockwise direction.

2. In the middle of the box, prime numbers are written, starting from 2→2, 3, 5, 7

3. V located at the bottom left corner of the box is also rotating in the anticlockwise direction.

4. The vowels mentioned in the given boxes→a, e, i, o, shift from one corner to another; a→top right corner, e→bottom right corner, i→bottom left corner, o→top left corner

So, following the above pattern, in the next figure, the arrow on the top left corner will be facing downwards, the next prime number 11 will be in the center, V at the bottom left corner will be facing upwards, and the vowel u will be at the top right corner.

Hence, the third option is correct.

Correct Answer: 6

Solution : Taking dice positions 1 and 2 with five dots as the common face,

Moving clockwise from the common face with five dots,

Pair of opposite faces –

So, the opposite to the face containing two dots is the face containing six dots.

Hence, the fourth option is correct.

Correct Answer: Cellulose

Solution : The answer is Cellulose.

The primary constituent of vegetable fibres is cellulose, a complex carbohydrate that serves as the primary structural component of plant cell walls. Cellulose is the most prevalent carbohydrate, forming a strong and rigid framework that provides structural integrity to plants.

Correct Answer: 84

Solution : Given: The difference between the areas of two concentric circles is 264 cm².
The area of the circle $=\pi R^2$ where $R$ is the radius.
According to the question,
$\pi R^2–\pi r^2=264$
⇒ $\frac{22}{7}\times(R^2–r^2)=264$
⇒ $(R^2–r^2)=\frac{264\times 7}{22}$
⇒ $R^2–r^2=\frac{1848}{22}=84$
Hence, the correct answer is 84.

Correct Answer: Goa

Solution : The correct option is Goa.

Kunbi dance is a folk dance performed by the tribal community of Goa. The Kunbi dance is often performed during cultural events, festivals, and celebrations within the community. The dancers wear colourful costumes.

Correct Answer: The librarian said that no student was to be issued a book till the following week.

Solution : The correct choice is the first option.

In reported speech, it's essential to make appropriate changes to verb tense, pronouns, and other elements to convey the original speaker's message accurately. 

The steps of conversion are as follows:

• The reporting verb "said" is unchanged because the given sentence is an imperative sentence.
• The conjunction "that" is used to introduce the reported clause.
• "Let be issued" is changed to the past infinitive "was to be issued".
• The time expression "next week" is changed to "the following week".

So, the correct sentence would be: The librarian said that no student was to be issued a book till the following week.