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Question : If the radius of a cylinder is decreased by 12%, then by how much percentage must its height be increased so that the volume of the cylinder remains the same?
Option 1: 29.13%
Option 2: 21.78%
Option 3: 42.56%
Option 4: 34.27%
Correct Answer: 29.13%
Solution : Let's denote the original radius of the cylinder as $r$ and the original height as $ℎ$. Now, if the radius is decreased by 12%, ⇒ $r$′ = $r$ −0.12$r$ = 0.88$r$ ⇒ $V'$ = $π(0.88r)^2h'$ Since the volume remains the same ⇒ $πr^{2}h$ = $π(0.88r)^2h'$
Question : If $a^{2}+b^{2}+c^{2}=ab+bc+ca,$ then the value of $\frac{a+c}{b}$ is:
Option 1: 3
Option 2: 2
Option 3: 0
Option 4: 1
Correct Answer: 2
Solution : Given: $a^{2}+b^{2}+c^{2}=ab+bc+ca$ ⇒ $a^{2}+b^{2}+c^{2}-ab-bc-ca=0$ ⇒ $\frac{1}{2}\left[(a-b)^{2}+(b-c)^{2}+(c-a)^{2}\right]=0$ ⇒ $(a-b)^{2}+(b-c)^{2}+(c-a)^{2}=0$ The square of any real number is always non-negative. Therefore, we have: $(a-b)^{2}=0 \Rightarrow a=b$ $(b-c)^{2}=0 \Rightarrow b=c$ $(c-a)^{2}=0 \Rightarrow c=a$ Thus, we have $a=b=c$. Now, we can calculate $\frac{a+c}{b}$ as follows: $\frac{a+c}{b}=\frac{a+a}{a}=2$ Hence, the correct answer
Question : Select the INCORRECTLY spelt word.
Option 1: Adjacent
Option 2: Accomplish
Option 3: Agregate
Option 4: Allure
Correct Answer: Agregate
Solution : The correct answer is the third option.
The correct spelling of the word is "aggregate". Aggregate generally means a whole formed by combining several elements. It can also refer to the total or sum of individual parts.
Question : Which British Viceroy of India was associated with the Ilbert Bill enacted in 1884?
Option 1: Lord Ripon
Option 2: Lord Dufferin
Option 3: Lord Northbrook
Option 4: Lord Napier
Correct Answer: Lord Ripon
Solution : The correct option is Lord Ripon.
The British Viceroy of India associated with the Ilbert Bill enacted in 1884 was Lord Ripon. He served as the Viceroy of India from 1880 to 1884, and the Ilbert Bill was one of the significant legislative
Question : Who was hailed as a resident dancer of Tirumala Tirupati Devasthanam for her unique contribution to the promotion of classical dance forms?
Option 1: Uma Sharma
Option 2: Rukmini Devi
Option 3: Yamini Krishnamurthy
Option 4: Ragini Devi
Correct Answer: Yamini Krishnamurthy
Solution : The correct option is Yamini Krishnamurthy.
In Madras, Yamini Krishnamurthy made his debut in 1957. She enjoys the privilege of being the Tirumala Tirupati Devasthanam's Asthana Nartaki (resident dancer). She is a renowned Indian classical dancer, primarily in Bharatanatyam and Kuchipudi styles. She's
Question : Directions: The following bar diagram depicts figures for some agricultural imports from January - May 2008. Answer (as closely as possible) the questions using the data provided here: Agricultural Imports - January to May Average cost per ton over 5 months of period What was the total cost of wheat imports in March?
Option 1: Rs. 3,212
Option 2: Rs. 5,616
Option 3: Rs. 7,042
Option 4: Rs. 2,224
Correct Answer: Rs. 5,616
Solution : Refer to the given bar graph: Cost of Wheat = Rs. 156 Total Wheat import in March = 36 tons Required cost of wheat = 36 × 156 = Rs. 5616 Hence, the correct answer is Rs. 5616.
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
It is a place far of here.
(1) far by there
(2) far from there
(3) far away here
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct option is the second option.
Far from there correctly conveys the idea that the place is a distance away from the current location, and from is the correct preposition to be used in this sentence to make it grammatically accurate.
Therefore, the
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.
Allegiance to one’s favourite team is something that sports fans (1)______ over a period of time. They are so attached to their favourite teams that they could display (2) ______ emotions, not just during the course of the match, but much after the actual event is over. This phenomenon, (3) ______ common across the globe, is more seen in countries like Brazil, India, the US and even the UK, where the favourite sport may not be the same in each of these nations. In spite of this craze and hysteria, sport has (4)______ a long way. It is accepted as one of the world’s most (5)______ pastimes ever.
Question
Select the most appropriate option to fill in the blank number (2).
Option 1: hurried
Option 2: varied
Option 3: dread
Option 4: concrete
Correct Answer: varied
Solution : The second option is correct.
The sentence suggests that individuals are deeply attached to their favourite teams to the extent that they exhibit a range of emotions, not just during the match but also long after the event has concluded.
Varied fits well in this
Question : Who is famously known as Bihar Kesari?
Option 1: Rajendra Prasad
Option 2: Shri Krishna Singh
Option 3: Karpuri Thakur
Option 4: Lala Lajpat Rai
Correct Answer: Shri Krishna Singh
Solution : The correct option is Shri Krishna Singh.
"Bihar Kesari" is a title conferred upon Dr. Sri Krishna Singh, who was an eminent political leader. He played a significant role in the Indian independence movement and served as the Chief Minister from 1937 to
Question : Select the sentence that contains no spelling errors.
Option 1: The granduor of the ancient Roman Empire is visible in many monuments in Italy and Greece.
Option 2: The grandour of the ancient Roman Empire is visible in many monuments in Italy and Greece.
Option 3: The grandeur of the ancient Roman Empire is visible in many monuments in Italy and Greece.
Option 4: The granduer of the ancient Roman Empire is visible in many monuments in Italy and Greece.
Correct Answer: The grandeur of the ancient Roman Empire is visible in many monuments in Italy and Greece.
Solution : The third option is correct.
Therefore, the correct sentence would be,
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