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Question : $\angle A$ of $\triangle ABC$ is a right angle. $AD$ is perpendicular on $BC$. If $BC= 14$ cm and $BD= 5$ cm, then measure of $AD$ is:
Option 1: $2\sqrt5$ cm
Option 2: $\sqrt5$ cm
Option 3: $3\sqrt5$ cm
Option 4: $3.5\sqrt5$ cm
Correct Answer: $3\sqrt5$ cm
Solution : AD2 = CD × BD ⇒ AD2 = 9 × 5 ⇒ AD2 = 45 ⇒ AD = $\sqrt{45}$ = $3\sqrt5$ Hence, the correct answer is $3\sqrt5$ cm.
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.
Each went his way, the prince to (1)_______. The rays of the court, the Brahmin to (2)______ with Parasuram, the renowned scholar-warrior. He mastered (3)________, married a virtuous woman, and (4)______ a beautiful son. (5)______ poor, he was proud of his learning.
Question:
Select the most appropriate option to fill in the blank number 1.
Option 1: absorb
Option 2: receive
Option 3: cram
Option 4: learn
Correct Answer: learn
Solution : The correct choice is the fourth option.
The word learn in this context implies the prince's intention to acquire knowledge or gain understanding from the court. It suggests that he aims to gather information, skills, or wisdom during his time there.
Question : Choose the correct meaning of the underlined idiom in the given sentence.
Grandpa often likes to sit in the balcony and chew the fat with me.
Option 1: Gossip and make small talk.
Option 2: Play a game.
Option 3: Chew meat.
Option 4: Criticise people.
Correct Answer: Gossip and make small talk.
Solution : The correct choice is the first option.
Chew the fat is an idiom that means to gossip or make small talk. It means to talk to someone in an informal and friendly way. Thus, the first option is the appropriate
Question : Raut Nacha is a famous folk dance form of ______ state of India.
Option 1: Chhattisgarh
Option 2: Sikkim
Option 3: Punjab
Option 4: Karnataka
Correct Answer: Chhattisgarh
Solution : The correct answer is Chhattisgarh.
The dance is known for its quick motions and rhythmic footwork. The Yadav group in Chhattisgarh has a traditional folk dance called Raut Nacha. It is dedicated to Lord Krishna and performed during the annual Diwali celebration. Men dressed as
Question : Find the third proportion of two numbers 6 and 24.
Option 1: 94
Option 2: 84
Option 3: 96
Option 4: 86
Correct Answer: 96
Solution : Given: The numbers are 6 and 24. The third proportional of $a$ and $b=\frac{b^2}{a}$ Here, $a = 6$ and $b = 24$ So, the third proportional = $\frac{24\times 24}{6}$ = $96$ Hence, the correct answer is 96.
Question : A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. What will a customer have to pay in cash for a jacket of Rs. 3,600?
Option 1: Rs. 3,240
Option 2: Rs. 3,366
Option 3: Rs. 2,754
Option 4: Rs. 3,060
Correct Answer: Rs. 2,754
Solution : Given: A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. Total discount = $15 + 10 - \frac{15×10}{100}$ = 23.5% Now, selling price = marked price
Question : A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. If the article is sold at Rs. 3,080, then how much profit percentage is gained?
Option 1: 10%
Option 2: 15%
Option 3: 20%
Option 4: 12%
Correct Answer: 12%
Solution : Let the cost price of the article as C. From the problem, The article was sold at a loss of 16%. The first selling price = C – 0.16C = C(1 – 0.16) Had the article been sold for Rs. 660 more, there would have
Question : What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm2?
Option 1: 10.5 cm
Option 2: 3.5 cm
Option 3: 7 cm
Option 4: 10 cm
Correct Answer: 10.5 cm
Solution : Given: Height($h$) = 21 cm Let the radius be $r$. Curved surface area = 1386 cm2 ⇒ $1386=2\pi r h$ ⇒ $1386=2\times\frac{22}{7}\times21\times r $ ⇒ $r=\frac{1386\times 7}{2\times 22\times21}$ ⇒ $r = 10.5~\text{cm}$ Hence, the correct answer is 10.5 cm.
Question : Kumarakom boat race is the most admired boat race to take place on the Vembanad Lake in September during the ___________ festival.
Option 1: Lohri
Option 2: Deepavali
Option 3: Nowruz
Option 4: Onam
Correct Answer: Onam
Solution : The correct option is Onam.
The Kumarakom boat race is the most admired boat race to take place on the Vembanad Lake in September during the Onam festival. The snake boat race is a major highlight of the Onam festivities, attracting locals and tourists alike.
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.
Alas! Don't make a noise in the library.
Option 1: Wow
Option 2: Hurrah
Option 3: No substitution
Option 4: Hush
Correct Answer: Hush
"Alas" is typically used to express sorrow, regret, or disappointment. In the given sentence, it doesn't convey the right sentiment for the context, which is about maintaining silence in the library. "Hush" is a more suitable choice as
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