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Question : If $x=2-2^{\frac{1}{3}}+2^{\frac{2}{3}}$, then find the value of $x^3-6 x^2+18 x$.
Option 1: 40
Option 2: 33
Option 3: 45
Option 4: 22
Correct Answer: 22
Solution : $x=2-2^{\frac{1}{3}}+2^{\frac{2}{3}}$ ⇒ $(x-2) = (2^{\frac{2}{3}}-2^{\frac{1}{3}})$ Cubing both sides, ⇒ $(x-2)^3 = (2^{\frac{2}{3}}-2^{\frac{1}{3}})^3$ ⇒ $x^3 - 6x^2 +12x-8 = 2^2 -3 × 2^{\frac{2}{3}} × 2^{\frac{1}{3}}(2^{\frac{2}{3}}-2^{\frac{1}{3}}) - 2$ ⇒ $x^3 - 6x^2 +12x-8 = 4 - 3 × 2(x-2) - 2$ ⇒ $x^3 - 6x^2 + 12x
Question : Who among the following was conferred with the Padma Shri Award in 2021 for populating folk dance in rural Karnataka, Tamil Nadu, and Andhra Pradesh?
Option 1: Annavarapu Rama Swamy
Option 2: Anitha Pauldurai
Option 3: Pappammal
Option 4: Manjamma Jogathi
Correct Answer: Manjamma Jogathi
Solution : The correct answer is Manjamma Jogathi.
Manjamma Jogathi, a transgender folk dancer, received the Padma Shri Award from President Ram Nath Kovind at Rashtrapati Bhavan. Manjamma Jogathi is a trans folk dancer from the Jogamma lineage and the first transgender president of the Karnataka
Question : During which dynasty the Mahabalipuram temple was constructed?
Option 1: Gupta Dynasty
Option 2: Pallava Dynasty
Option 3: Chola Dynasty
Option 4: Chalukya Dynasty
Correct Answer: Pallava Dynasty
Solution : The correct answer is the Pallava Dynasty.
The Shore Temple in Mahabalipuram, built during the reign of Pallava King Rajasimha, is Southern India's earliest significant structural temple. It marks the Pallavas' introduction to stone architecture. Mahabalipuram was a renowned Pallava port city on
Question : In leaves, transpiration takes place through ______.
Option 1: stomata
Option 2: cork cell
Option 3: epidermal cell
Option 4: guard cells
Correct Answer: stomata
Solution : The correct option is stomata.
In leaves, transpiration takes place primarily through tiny pores called stomata. Stomata are specialised openings found on the surface of leaves (and some stems) that allow for the exchange of gases, including the release of water vapour.
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).
One of my neighbours will sell his house who is going abroad.
(1) One of my neighbours will who is going abroad sell his house.
(2) One who is going abroad of my neighbours will sell his house.
(3) One of my neighbours who is going abroad will sell his house.
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
It rephrases the sentence in such a way that the modifier who is going abroad correctly refers to one of my neighbours. It conveys the intended meaning that one of the neighbours, who is going abroad,
Question : Select the most appropriate meaning of the given idiom.
Buy a lemon
Option 1: Wear fashionable clothing.
Option 2: The ability to know what's happening.
Option 3: To not complain.
Option 4: To buy something that is worthless.
Correct Answer: To buy something that is worthless.
Solution : The correct choice is the fourth option.
The idiom buy a lemon typically means purchasing an item, usually a product like a car, that turns out to be defective, unsatisfactory, or of poor quality despite appearing good at the
Question : Choose the word that is opposite in meaning to the given word.
Contempt
Option 1: Approbation
Option 2: Odium
Option 3: Opprobrium
Option 4: Obloquy
Correct Answer: Approbation
Solution : The correct choice is the first option.
Contempt refers to a feeling of disdain, scorn, or strong disapproval.
Approbation denotes approval, praise, or commendation. While "contempt" conveys a negative and disapproving sentiment, "approbation" represents a positive and approving attitude.
The meanings of the other options
Question : Who among the following journalists shared the Chameli Devi Jain Award for Outstanding Woman Journalist 2020 with Arfa Khanum Sherwani?
Option 1: Barkha Dutt
Option 2: Nidhi Razdan
Option 3: Sweta Singh
Option 4: Rohini Mohan
Correct Answer: Rohini Mohan
Solution : The correct answer is Rohini Mohan.
The Chameli Devi Jain Award for Outstanding Women Media Person, 2019, was jointly presented to Arfa Khanum Sherwani, senior editor at The Wire and freelance journalist Rohini Mohan on October 12. Arfa Khanum Sherwani received recognition for
Question : A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?
Option 1: $\frac{120}{9}$
Option 2: $12$
Option 3: $\frac{120}{11}$
Option 4: $\frac{121}{12}$
Correct Answer: $\frac{120}{11}$
Solution : Time taken by A and B to do the work = 10 days Let the work done by A, B, and C in a day be a, b and c units, respectively. Work done by A and B together in a day = $\frac{1}{10}$ ⇒
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 blank. I had seen the magic shop from afar several times. I had passed (1)______ once or twice, a shop window of (2)______ little objects, magic balls, magic hens, wonderful cones, magic dolls, and all those (3)______ of things. But never had I thought of going in (4)______ one day. Gip hauled me by my finger—right (5)______ to the window. Question: Select the most appropriate option to fill in the blank no. 1.
Option 1: these
Option 2: them
Option 3: it
Option 4: this
Correct Answer: it
Solution : The third option is the correct choice.
The word it is a pronoun that refers to a previously mentioned noun, in this case, the magic shop. The pronouns are used to replace nouns to avoid repetition and enhance clarity. In the given context, it is
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