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Question : What is the increase in the volume of a cube of 1 unit edge if each of its edges is tripled?
Option 1: 26 cubic units
Option 2: 29 cubic units
Option 3: 28 cubic units
Option 4: 27 cubic units
Correct Answer: 26 cubic units
Solution : The initial edge of the cube = 1 unit Volume of the cube = 13 = 1 cubic unit According to the question, The new edge of the cube = 3 units The new volume of the cube = 33 =
Question : In a $\triangle ABC$, AD, BE and CF are the medians from vertices A, B, and C, respectively. The point of intersection of AD, BE and CF is called
Option 1: median point
Option 2: orthocentre
Option 3: centroid
Option 4: incentre
Correct Answer: centroid
Solution : In a $\triangle ABC$, AD, BE and CF are the medians from vertices A, B, and C. The point of intersection of AD, BE and CF is called the centroid. Hence, the correct answer is the centroid.
Question : Select the correct passive voice of the given sentence.
Gain the attention of the audience.
Option 1: Let the attention of the audience be gained.
Option 2: The audience must gain the attention.
Option 3: The gain of the attention must be made by the audience.
Option 4: The audience attention must be gained.
Correct Answer: Let the attention of the audience be gained.
Solution : The correct choice is the fourth option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in
Question : Which is not correct about the independence of the judiciary in our country?
Option 1: The judiciary has the power to penalise those who are found guilty of contempt of court.
Option 2: The judges are financially dependent on both the executive and legislature for their salaries and allowances.
Option 3: The constitution prescribes a complicated procedure for the removal of judges.
Option 4: The legislature is not involved in the process of appointment of judges.
Correct Answer: The judges are financially dependent on both the executive and legislature for their salaries and allowances.
Solution : The correct option is The judges are financially dependent on both the executive and legislature for their salaries and allowances.
Neither the legislature nor the administration provides financial support
Question : If $(x+\frac{1}{x})\neq 0$ and $(x^3+\frac{1}{x^3})= 0$, then the value $(x+\frac{1}{x})^4$ is:
Option 1: 9
Option 2: 12
Option 3: 15
Option 4: 16
Correct Answer: 9
Solution : Given: $(x+\frac{1}{x})\neq 0$ and $(x^3+\frac{1}{x^3})=0$ $(x+\frac{1}{x})^3=x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})$ Substitute the value of $(x^3+\frac{1}{x^3})=0$ in above equation, we get, ⇒ $(x+\frac{1}{x})^3=0+3(x+\frac{1}{x})$ ⇒ $(x+\frac{1}{x})^3=3(x+\frac{1}{x})$ ⇒ $(x+\frac{1}{x})^{3–1}=3$ ⇒ $(x+\frac{1}{x})^2=3$ On squaring both sides of the above equation, we get, ⇒ $((x+\frac{1}{x})^2)^2=3^2$ ⇒ $(x+\frac{1}{x})^4=9$ Hence, the correct answer is 9.
Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.
Lion's mouth
Option 1: A dangerous situation
Option 2: Very talkative
Option 3: Having no sense
Option 4: A large share
Correct Answer: A dangerous situation
Solution : The first option is the correct answer.
The idiom lion's mouth is often used metaphorically to describe a perilous or dangerous situation. It conveys the idea that facing or being in a challenging or risky circumstance is akin to being in the mouth
Question : With which of the following centres of learning, Chanakya, the famous teacher of Chandragupta Maurya, was associated?
Option 1: Takshashila
Option 2: Nalanda
Option 3: Vikramashila
Option 4: Vaishali
Correct Answer: Takshashila
Solution : The correct answer is Takshashila.
The Guru of Chandragupta Maurya, Chanakya, was associated with the Takshashila Vishwavidyalaya. Takshashila was considered the world's first learning centre, located on the bank of the River Indus, which is in present-day Rawalpindi, Pakistan. Nalanda was an ancient learning
Question : Directions: In the given 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).
Due to heavy monsoon showers, the water in the dam rose another foot.
(1) raised another foot.
(2) raised by a feet.
(3) had risen a foot.
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option as the sentence is grammatically perfect and addresses its meaning.
In the first option 'raised' is the past(v2) form of the verb 'raise' while the main verb used in the sentence is 'rise' making it inappropriate.
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Artist: Painting:: Cobbler: ?
Option 1: Stitching clothes
Option 2: Fixing shoes
Option 3: Wooden repair work
Option 4: Fixes electricity
Correct Answer: Fixing shoes
Solution : Given: Artist: Painting:: Cobbler: ?
Here, the second term is the work done by the first term. Like in, Artist: Painting→An artist creates paintings. Similarly, follow the same pattern for Cobbler: ?→A cobbler creates or repairs/fixes shoes.
Therefore, fixing shoes is related to the
Question : Which of the following organisations prepares topographical maps of India ?
Option 1: Geographical Survey of India
Option 2: Survey of India
Option 3: Geological Survey of India
Option 4: Archaeological Survey of India.
Correct Answer: Survey of India
Solution : The Correct Answer is Survey of India
Map-making and surveying are done by the engineering department of India, called Survey of India. These people create the topographical maps. In charge of mapping and surveying since its establishment in 1767, the Survey of India
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