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Question : If $a+\frac{1}{a}=5$, then what is the value of $a^3+\frac{1}{a^3} ?$
Option 1: 110
Option 2: 15
Option 3: 105
Option 4: –10
Correct Answer: 110
Solution : Given, $a+\frac{1}{a}=5$ Cubing both sides, $(a+\frac{1}{a})^3=125$ ⇒ $a^3+\frac{1}{a^3}+3(a)(\frac{1}{a})(a+\frac{1}{a})=125$ ⇒ $a^3+\frac{1}{a^3}+3(1)(5)=125$ ⇒ $a^3+\frac{1}{a^3}=110$ Hence, the correct answer is 110.
Question : Ancient Harappan site ‘Lothal’ was found in which state of India?
Option 1: Gujarat
Option 2: Rajasthan
Option 3: Maharashtra
Option 4: Madhya Pradesh
Correct Answer: Gujarat
Solution : The correct option is Gujarat.
Gujarat is home to the ancient Harappan archaeological site of Lothal. Located on India's western coast, Gujarat is home to several significant archaeological finds from the Harappan civilization. Lothal was an important hub for trade and business in the days
Question : Directions: A @ B means A is the husband of B. A & B means A is the mother of B. A # B means B is the daughter of A. If G # H & I @ J & K, then how is H related to J?
Option 1: Mother
Option 2: Brother
Option 3: Sister
Option 4: Mother-in-law
Correct Answer: Mother-in-law
Solution : Given: A @ B ⇒ A is the husband of B A & B ⇒ A is the mother of B A # B ⇒ B is the daughter of A
As per the given information, the family tree will be as follows – Here,
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 144
Option 2: 110
Option 3: 134
Option 4: 122
Correct Answer: 134
Solution : Multiply the sum of the first and second numbers by 3 and then subtract the result from the first number – Row I: {(14 + 23) × 3} – 14 = 111 – 14 = 97 Row II: {(22 + 41) × 3} – 22
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.
When he was in college, a famous poet made a useful distinction for him. He had drunk (1)________ in the poet's company to be compelled to describe to him a poem he was (2)_____of. It would be a monologue of sorts, the self-contemplation of a student on a summer afternoon who is reading Euphues. The poem itself would be a subtle (3)_____ of euphuisms, translating the heat, the day, and the student's concerns, into symmetrical posies; translating even his (4) ______and boredom with that famously foolish book into a euphuism. The poet nodded his big head in a sympathetic, rhythmic way as this was (5)_____ to him, then told him that there are two kinds of poems. There is the kind you write; there is the kind you talk about in bars. Both kinds have value and both are poems, but it's fatal to confuse them.
Select the most appropriate option to fill in blank no. 5.
Option 1: explained
Option 2: sprang
Option 3: theorised
Option 4: raised
Correct Answer: explained
Solution : The correct choice is the first option.
Explain means to describe something to make it clear and easy to understand, and is the appropriate choice for the sentence.
The meanings of the other options are as follows:
Question : The value of $\frac{(243)^\frac{n}{5}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$ is:
Option 1: 3
Option 2: 9
Option 3: 6
Option 4: 12
Correct Answer: 9
Solution : Given: $\frac{(243)^\frac{n}{5}\times 3^{2n+1}}{9^{n}\times 3^{n-1}}$ = $\frac{(3^5)^\frac{n}{5}\times 3^{2n+1}}{3^{2n}\times 3^{n-1}}$ = $\frac{3^n\times 3^{2n+1}}{3^{2n}\times 3^{n-1}}$ = $\frac{3^{3n+1}}{3^{3n-1}}$ = $\frac{3^{3n}×3^1}{3^{3n}×3^{-1}}$ = ${3^{2}}$ = $9$ Hence, the correct answer is 9.
Question : How many times has India hosted the ICC Men’s Cricket World Cup (One Day)?
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
Correct Answer: 3
Solution : The correct answer is 3.
India has hosted the ICC Men's Cricket World Cup (one day) three times. The global championship of the sport is called the ICC Men's Cricket World Cup or the One Day International (ODI) Cricket World Cup.
Question : Select the INCORRECTLY spelt word.
Option 1: Intermenable
Option 2: Intubate
Option 3: Incredible
Option 4: Incredulous
Correct Answer: Intermenable
The incorrectly spelled word in the options provided is "intermenable". The correct spelling for this word is interminable. This means endless or seemingly endless, often used to describe something tedious, long-lasting, or seemingly without an end.
Question : The market regulation system was introduced by:
Option 1: Muhammad bin Tughluq
Option 2: Iltutmish
Option 3: Alauddin Khalji
Option 4: Ghiyasuddin Tughlaq
Correct Answer: Alauddin Khalji
Solution : The correct option is Alauddin Khalji.
Alauddin Khalji, the second ruler of the Khalji dynasty, who governed Delhi from 1296 to 1316, established the market regulatory system. He introduced a variety of reforms to the economy and the military.
Question : How many delegates participated in the second session of the Indian National Congress?
Option 1: 434
Option 2: 628
Option 3: 212
Option 4: 190
Correct Answer: 434
Solution : The correct option is 434.
The second session of the Indian National Congress (INC) was held in Calcutta (now Kolkata) in 1886. It was presided over by Dadabhai Naoroji. During this session, there were 434 delegates in attendance. The Indian National Congress, founded in
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