Question : The length of each side of an equilateral triangle is $14 \sqrt{3}$ cm. The area of the incircle (in cm²), is:

Option 1: 450

Option 2: 308

Option 3: 154

Option 4: 77

Question : The students of a class donated a sum of INR 2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

Option 1: 49

Option 2: 53

Option 3: 51

Option 4: 47

Question : Comprehension:

In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.

Malti had to wait long to see her son, Abhik. She had worked hard to (1)______ her husband’s last wish that Abhik should (2)______ his higher education at Cambridge. Abhik (3)______ to be meritorious and hardworking and had secured a seat. Making ends meet was (4)______ and a trip back home in the vacation, (5)______ for the mother and son. 

Question:
Select the most appropriate option to fill in blank no. 3.

Option 1: had proved

Option 2: is proving

Option 3: will prove

Option 4: prove

Question : If $\sec 3 {x}=\operatorname{cosec}\left(3 {x}-45^{\circ}\right)$, where $3x$ is an acute angle, then ${x}$ is equal to:

Option 1: $45^{\circ}$

Option 2: $22.5^{\circ}$

Option 3: $35^{\circ}$

Option 4: $27.5^{\circ}$

Question : Direction: The following pie chart shows the expenditure of five companies P, Q, R, S, and T in the year 2016. Total expenditure = 48 crores

By how much percentage is the expenditure of company Q and R together greater than that of company P?

Option 1: 33.33%

Option 2: 60%

Option 3: 66.67%

Option 4: 75% 

Question : Directions: A, B, C, D, and E are 5 schools facing north. A is in the middle of E and B. E is to the right of D. If C and D are at two ends, which school is on the left side of C?

Option 1: E

Option 2: A

Option 3: D

Option 4: B

Question : In a circle of radius 42 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

Option 1: 44 cm

Option 2: 21 cm

Option 3: 22 cm

Option 4: 42 cm

Question : Which of the following can degrade detritus into simpler inorganic substances?

Option 1: Lichens

Option 2: Fungal enzymes

Option 3: Algae

Option 4: Phytoplankton

Question : Directions: In the following question, a series is given, with one alphabet missing. Choose the correct alternative from the given options.
L, C, M, B, N, A, O, ?

Option 1: B

Option 2: P

Option 3: Q

Option 4: Z

Question : Comprehension:
Read the given passage carefully and answer the questions that follow.

As a society, we have come a long way in terms of progress and development. We have eradicated diseases, explored space, and created technological wonders that were once thought impossible. Yet, there is still one issue that continues to plague us: stupidity. Yes, stupidity. The thing that seems to be contagious and has been spreading faster than the common cold. It's everywhere you look - on social media, in politics, in the workplace. You can't escape it.

It's as if we've all collectively decided that intelligence and common sense are no longer important. Why bother using your brain when you can just rely on your gut feelings and conspiracy theories?

Take politics, for example. It used to be that politicians were expected to be knowledgeable and well-informed about the issues they were dealing with. Now, it seems that all you need is a catchy slogan and some empty promises to win an election.

And don't even get me started on social media. It's a breeding ground for stupidity. People will believe anything they read as long as it confirms their preconceived biases. And don't even think about trying to present them with actual facts and evidence. That's just a waste of time. But it's not just individuals who are to blame for this epidemic of stupidity. Our education system is failing us as well. We're teaching our kids how to pass tests instead of how to think critically and solve problems. It's no wonder we have a generation of adults who can't even find their way around a basic math problem.

Of course, there are some who would argue that stupidity is just a different way of thinking. That it's a valid perspective that deserves to be respected. To those people, I say this: if you want to be stupid, go ahead. Just don't expect the rest of us to respect your opinions when they're based on nothing but ignorance and misinformation.

It's time for us to take a stand against stupidity. We need to start valuing intelligence and critical thinking again. We need to hold our leaders accountable for their actions and demand that they be knowledgeable and well-informed. We need to teach our children how to think, not just how to memorise.

It won't be easy, but it's a fight worth fighting. Because if we don't, we'll be stuck in a world where stupidity reigns supreme, and there's no telling what kind of damage that could do. So let's all do our part and start using our brains again. It's time to put an end to the epidemic of stupidity once and for all.

Question:
What is the tone of the passage?

Option 1: Sarcastic

Option 2: Serious

Option 3: Melancholic

Option 4: joyful