Correct Answer: 4 days

Solution : 1 day's work of A = $\frac{1}{9}$
1 day's work of B = $\frac{1}{12}$
1 day's work of A = $\frac{1}{18}$
1 day's work of (A + B + C) $=\frac{1}{9}+\frac{1}{12}+\frac{1}{18}=\frac{4+3+2}{36}=\frac{9}{36}$
$\therefore$ So they can complete the whole work in $\frac{36}{9}$ = 4 days
Hence, the correct answer is 4 days.

Correct Answer: Will Smith

Solution : The correct answer is Will Smith.

On March 28, 2022, the 94th Academy Awards, also known as the Oscars, were announced. The best actor went to Will Smith for "King Richard.

Jessica Chastain, however, took home the Oscar for best actress for "The Eyes of Tammy Faye."

With "Power of the Dog," Jane Campion became just the third woman in the 94-year history of the Oscars to win best director.

Correct Answer: Convivial

Solution : The correct option is the fourth option.

The word that means the same as the given word "genial" is "convivial."

Genial is an adjective that describes someone or something as friendly, warm, and pleasant. It often refers to a person's demeanour or atmosphere.

Convivial is an adjective that also describes a friendly, sociable, and pleasant atmosphere. It is often used to characterise social interactions or events where people are cheerful and amicable.

In this context, "convivial" is a synonym for "genial," because both words convey the idea of a friendly and pleasant atmosphere.

The meanings of the other options are as follows:

Tense: This is the opposite of "genial." It refers to a state of nervousness, strain, or uneasiness.

Lacuna: This refers to a gap or missing part, unrelated to the meaning of "genial."

Laconic: This means using few words, often being brief or concise, which is not the same as the friendly and warm connotation of "Genial."

Therefore, the correct synonym for genial is convivial.

Correct Answer: Neither conclusion (I) nor (II) is true

Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): All telescopes are magnets – From the Venn diagram, it is evident that some parts of the circle representing telescopes lie outside the circle representing magnets and some parts are inside. Therefore, this conclusion does not follow.
Conclusion (II): Some poles are computers – From the Venn diagram, it can be said that there is no direct relation between poles and computers. Therefore, this conclusion does not follow.

So, neither conclusion (I) nor (II) is true. Hence, the fourth option is correct.

Correct Answer: I use to

Solution : The error lies in the second option.

The correct phrase for describing a past habitual action is "used to" instead of "use to". "Used to" is used to describe the past habitual actions or states that are no longer true in the present. 

Therefore, the correct sentence should be: "When I was in 5th grade, I used to ride on my red bicycle."

Correct Answer: Both assertion and reason are true, and the reason is the correct explanation of the assertion.

Solution : The correct answer is Both assertion and reason are true, and the reason is the correct explanation of the assertion.

Self-help groups (SHGs) are unofficial gathering places for individuals who want to work together to find solutions to better their living circumstances. It is best described as an autonomous, peer-run information network of people who share a common goal and come from comparable socioeconomic backgrounds. In India, self-help groups, or SHGs, have proven to be a successful microfinance model.

Correct Answer: Fan – Blade

Solution : Let's check the options –
First option: Fan – Blade; Blade is the part of the fan. But, here fan should be the second word and blade be the first word.
Second option: Pedal – Cycle; Pedal is the part of the cycle.
Third option: Room – House; A Room is an integral part of the house.
Fourth option: Chapter – Book; A chapter is an integral part of the book.

So, the first option is different from the others. Hence, the first option is correct.

Correct Answer:

Solution : In the given figure, follow the directions to find the next term –

In every alternate box, the element at the centre of the box changes to a new element.

Hence, the third option is correct.

Correct Answer: $10\sqrt{2}$

Solution : The area of a square is given by the formula $A = s^2$, where $s$ is the length of a side.
Given that the area is 100 sq. cm.
$s = \sqrt{A} = \sqrt{100} = 10 \text{ cm}$
The length of the diagonal $d$ of a square,
$d = s\sqrt{2}$
On substituting $s$ = 10 cm,
$d = 10\sqrt{2} \text{ cm}$
Hence, the correct answer is $10\sqrt{2}$.

Correct Answer: 34 cm

Solution :
Let AB be the chord and O be the center of the circle.
Also, OP is perpendicular to AB
In $\triangle$ OPB,
OB² = PB² + OP²
⇒ OB² = 15² + 8²
⇒ OB² = 225 + 64
⇒ OB² = 289
⇒ OB = $\sqrt{289}$ 
⇒ OB = 17 cm
Diameter = 2 × OB = 2 × 17 = 34 cm
∴ The diameter of the circle is 34 cm.
Hence, the correct answer is 34 cm.