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Question : BL and CM are medians of $\triangle$ABC right-angled at A and BC = 5 cm. If BL=$\frac{3\sqrt5}{2}$ cm, then the length of CM is
Option 1: $2\sqrt5$ cm
Option 2: $5\sqrt2$ cm
Option 3: $10\sqrt2$ cm
Option 4: $4\sqrt5$ cm
Correct Answer: $2\sqrt5$ cm
Solution : Given: BC = 5 cm. and BL=$\frac{3\sqrt5}{2}$ cm According to the question, $4(BL^2+CM^2)=5BC^2$ ⇒ $4[(\frac{3\sqrt5}{2})^2+CM^2]=5×5^2$ ⇒ $4×\frac{45}{4}+4CM^2=125$ ⇒ $4CM^2=125-45$ ⇒ $4CM^2=80$ ⇒ $CM^2=\frac{80}{4}$ ⇒ $CM=\sqrt20=2\sqrt5$ Hence, the correct answer is $2\sqrt5$ cm.
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
Correct Answer: Sarcastic
Solution : The correct answer to this question is the first option.
Explanation: The tone of the passage can be described as critical, concerned, and urgent. The author expresses a critical view of the current state of society, particularly regarding what they perceive as a widespread problem
Question : Directions: Which of the option figures is the exact mirror image of the given problem figure when the mirror is held on the right side?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side (on line MN) of the figure. So, the left side of the reflected image will appear
Question : The sides of two similar triangles are in the ratio 5 : 7. The areas of these triangles are in the ratio of:
Option 1: 35 : 49
Option 2: 15 : 49
Option 3: 25 : 49
Option 4: 36 : 49
Correct Answer: 25 : 49
Solution : The sides of two similar triangles are in the ratio of 5 : 7. Let the sides be $5x$ and $7x$. In two similar triangles, the ratio of their areas is square of the ratio of their sides. $\frac{\textnormal{Area of triangle 1}}{\textnormal{Area of
Question : The most distinctive type of folk songs of Assam are________.
Option 1: Qawwali songs
Option 2: Bihu songs
Option 3: Teej songs
Option 4: Bhuta songs
Correct Answer: Bihu songs
Solution : The correct option is Bihu songs.
Bihu songs are vibrant folk songs from Assam, India, traditionally associated with the Bihu festival. Bihu songs are often performed with traditional Bihu dance, which involves rhythmic movements and gestures that reflect the themes of the songs.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Mob lynching is the act of a group of people murdering a person without due process of law for an (1)_________ infraction. In recent years, mob lynching has become one of the hate (2)_________ that targets persons of a certain identity, members of a minority population, or strangers on the basis of a mere (3)___________. Without obeying any principles of law, the mob takes the law into their own hands to punish the supposed (4)__________ in the name of justice. Mob lynching is a breach of human dignity and a (5)_________ violation of the Universal Declaration of Human Rights, according to Article 21 of the Indian Constitution. Select the most appropriate answer to fill in the blank 2.
Option 1: crimes
Option 2: gossips
Option 3: goals
Option 4: desires
Correct Answer: crimes
Solution : The first option is correct.
Hate crimes refer to criminal acts that are motivated by prejudice, bias, or hatred toward a particular group of people. Mob lynching is also one of these crimes.
So, in the given context, mob lynching is shown as a
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs, except one. Find that odd number pair. (NOTE: The relation should be found without breaking down the numbers into its constituent digits.)
Option 1: 225 : 169
Option 2: 361 : 400
Option 3: 529 : 576
Option 4: 441 : 484
Correct Answer: 225 : 169
Solution : Let's check the options – First option: 225: 169; (15)2 = 225; 15 – 2 = 13; (13)2 = 169 Second option: 361: 400; (19)2 = 361; 19 + 1 = 20; (20)2 = 400 Third option: 529: 576;
Question : Tokyo 2020 Paralympic Games bronze medallist Manoj Sarkar is associated with which of the following events?
Option 1: Shooting
Option 2: Badminton
Option 3: Table Tennis
Option 4: Athletics
Correct Answer: Badminton
Solution : The correct option is Badminton.
Manoj Sarkar is a distinguished para-badminton athlete hailing from Uttarakhand. His remarkable medal tally includes 19 gold medals, 13 silver medals, and 18 bronze medals, showcasing his exceptional prowess on the badminton court. His notable accomplishments include winning a
Question : The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is:
Option 1: 42.92 cm2
Option 2: 5.8 cm2
Option 3: 10.73 cm2
Option 4: 21.46 cm2
Correct Answer: 21.46 cm2
Solution : The radius of the circle = 7.4 cm Let the length of the arc be $l$ cm. The perimeter of the sector = Radius + Length of the arc + Radius $⇒20.6 = 7.4 + l + 7.4$ $⇒l = 20.6 -14.8 =
Question : A group of workers can complete a piece of work in 50 days when they are working individually. On the first day one person works, on the second day, another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?
Option 1: 8 days
Option 2: 9 days
Option 3: 10 days
Option 4: 11 days
Correct Answer: 10 days
Solution : Let the total work be 50 units and let a man complete 1 piece of work in a day. Work done on 1st day = 1 man × 1 work/day = 1 unit of work Work done on 2nd day = 2 men ×
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