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Question : If the radius of a circle is increased by 5%, then the increase in its area is:
Option 1: 10.25%
Option 2: 10%
Option 3: 5.75%
Option 4: 5%
Correct Answer: 10.25%
Solution : The area of a circle with $r$ as the radius $=\pi r^2$ The radius is increased by $5\%$, the new radius becomes $1.05r$. The new area of the circle $=\pi (1.05r)^2 = 1.1025 \pi r^2$ The increase in the area $=1.1025 \pi r^2 - \pi
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
There was a (roll) of drums?
(1) role
(2) droll
(3) troll
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The word "roll" in the sentence is correctly used. It refers to the sound of drums. So, the correct choice is "No Improvement".
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully. Select the option 'No correction required' if the sentence is correct as given.
She (had a reputation) brilliance.
Option 1: No correction required
Option 2: have a reputation for
Option 3: has a reputation for
Option 4: has a reputation of
Correct Answer: has a reputation for
Solution : The correct choice is the third option.
Explanation: The correct verb form to be used here is has, as the sentence talks about a general fact. Also, reputation should be followed by the preposition for to correctly describe the trait
Question : Select the word from the options which is similar in meaning to the bracketed word given in the sentence below.
They are institutions built to hold and (continue) power for a political group.
Option 1: abandon
Option 2: waste
Option 3: maintain
Option 4: release
Correct Answer: maintain
Explanation: In the given context, the word "continue" is used to convey the idea of preserving or keeping power for a political group. A suitable synonym for this meaning is "maintain." Thus, the sentence suggests that these
Question : WiMAX stands for
Option 1: Wireless Interoperability for Microwave Access
Option 2: Wired Interoperability for Microwave Access
Option 3: Worldwide Interoperability for Microwave Access
Option 4: Worldwide Infrastructure for Microwave Access
Correct Answer: Worldwide Interoperability for Microwave Access
Solution : The correct answer is Worldwide Interoperability for Microwave Access.
WiMAX is an acronym that stands for "Worldwide Interoperability for Microwave Access." It is a wireless communication technology that delivers high-speed internet access and long-distance data transfer, making it appropriate for both
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: KP
Option 2: MN
Option 3: HR
Option 4: GT
Correct Answer: HR
Solution : Let's check the options – First option: KP; K and P are the opposite letter pairs. Second option: MN; M and N are the opposite letter pairs. Third option: HR; H and R are not the opposite letter pairs. Fourth option: GT; G and T
Question : In the third Carnatic War, the British East India Company defeated the French forces at the_____ in 1760, ending almost a century of conflict over French supremacy in India.
Option 1: The Siege of Arcot
Option 2: The Battle of Adyar
Option 3: The Battle of Ambur
Option 4: The Battle of Wandiwash
Correct Answer: The Battle of Wandiwash
Solution : The correct option is The Battle of Wandiwash.
At the Battle of Wandiwash in 1760, the British East India Company defeated the French forces in the Third Carnatic War. A pivotal battle during the struggle known as the Seven Years' War
Question : Directions: In the question, the sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
His directions to the driver were ___, and helped him to reach on time.
Option 1: expletive
Option 2: implicate
Option 3: explicit
Option 4: implicit
Correct Answer: explicit
Explicit means clear, specific, and leaving no room for misunderstanding. In the context of the sentence, it suggests that the directions given to the driver were clear and helped him arrive on time.
The meanings of the other
Question : The sum of the angles made by a chord XY at the centre and on the circumference of the circle is 270°. If the radius of this circle is 24 cm, then what will be the length of this chord?
Option 1: 60 cm
Option 2: 12 cm
Option 3: 36 cm
Option 4: 48 cm
Correct Answer: 48 cm
Solution : Given, the radius of the circle = 24 cm Let the angle formed by the chord on the circumference be x. Then, the angle formed by the same chord on the centre is 2x. According to the question, 2x + x = 270° ⇒
Question : A can do a piece of work in 9 days, while B can do it in 12 days. A and B together can do the work in:
Option 1: $5\frac{1}{7}$ days
Option 2: $5\frac{2}{7}$ days
Option 3: $6\frac{1}{7}$ days
Option 4: $6\frac{2}{7}$ days
Correct Answer: $5\frac{1}{7}$ days
Solution : Given: A can do a piece of work in 9 days, while B can do it in 12 days. So, in 1 day A and B can do $\frac{1}{9}$th part and $\frac{1}{12}$th part of the work, respectively. Now together in 1 day they can
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